In clinical trials of a newly developed cold medicine, it was found that 45 out of 200 individuals that took the new medicine (Group 1) experienced an upset stomach as a side effect and 33 out of 150 individuals that took a placebo (Group 2) experienced an upset stomach. Test to see if the new drug produced a significantly higher proportion of individuals experiencing upset stomach. Use a 0.01 level of significance. Select the correct alternative hypothesis and decision.

a. H: Pi≠P2; Do not reject the null hypothesis.
b. H1: p1>P2; Do not reject the null hypothesis.
c. H: Pi > p2; Reject the null hypothesis.
d. H1: p. e.) Hi: p1≠P2; Reject the null hypothesis.
f. H: P1

Answers

Answer 1

Answer:

Step-by-step explanation:

Group 1 Information:

sample size  :  n₁  =  200

individuals with stomach as a side effect  x₁  = 45

p₁ =  45 / 200   p₁ = 0,225   then  q₁  =  1  -  p₁   q₁ =  0,775

Group 2 Information:

sample size  :  n₂ =  150

individuals with stomach as a side effect  x₂  = 33

p₂  =  33/150  p₂ = 0,22   q₂   =  0,78

Hypothesis Test:

Null Hypothesis:                             H₀         p₁   =  p₂

Alternative Hypothesis                  Hₐ         p₁   >   p₂

The alternative hypothesis indicates that the test is a one-tail test  to the right

Significance level is   α = 0,01   ( confidence interval  99%)

From  z-table we get z(c) for that α     z(c) =  2,32

To calculate z(s)

z(s)  =  (  p₁  -  p₂ ) / EED

EED =  √ ( p₁*q₁)/n₁  +  ( p₂*q₂)/n₂

EED =  √ ( 0,225*0,775)/200   + (0,22*0,78)/150

EED =  √ 0,0008718  + 0,001144

EED =  0,045

z(s)  =  ( 0,225  -  0,22 ) / 0,045

z(s)  =  0,005 / 0,045

z(s)  =  0,11

Comparing z(s)  and  z(c)

z(s)  <  z(c)        0.11 < 2.32

Then z(s) is in the acceptance region. We accept  H₀ . We don´t have evidence to support differences between the two groups.


Related Questions

Please help, whoever gives the best explanation will be marked Brainliest

Answers

Answer:

2by8 of marians garden

Step-by-step explanation:

brainlest for firs peep to answer

Answers

Answer:

8/3 is the answer

Answer:

8/3 multiply 3(denominator) and 2(whole number) then add the 2(numerator)

hope this helps

have a good day :)

Step-by-step explanation:

Please help ! It's timed! (More questions)

Answers

Answer:

Q2 : y= -2x+9

Q4: y= 2x+8

Does the equation y = 5(2.3)* model exponential growth, exponential decay or neither?

Answers

Exponential growth because maths is good

Answer:

It models exponential growth

Step-by-step explanation:

Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.

Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.

Describe the error in graphing f(x) for the function, then graph it correctly.
(rough graph only)!
f(x) = (x – 4)(x + 1)?

Answers

Step-by-step explanation:

sorry tried but dont know

A box contains 8 cups of raisins Marco needs 1/3 cup of raisins to make 1 bag of snacks mix how many bags of snack mix can Marco make with 8 cups of raisins

Answers

Answer: 24

Step-by-step explanation:

24/3=8

This is just a end of grade test question, I’m wondering, when you search up “5th Grade Eog (Math/Science/Reading)” It shows something called the ‘released’ EOG. Is that the actual EOG or is it just practice? Please someone tell me!

Answers

It really depends on your school district

Answer:

it just a released test from previous year. It is not the real test . I may be use as a practice.

Step-by-step explanation:

Half of the class of 40 students are absent. How many students are absent today?​

Answers

Answer:

20 students were absent

Step-by-step explanation:

Half means divide by 2:

40/2 = 20

helppppp

!NO LINKS, NO FILES!

please :)

Answers

Answer:

53

Step-by-step explanation:

https://brainly.com/question/23396982?answering=true&answeringSource=greatJob%2FquestionPage%2F1

Special right triangles.
Find u.
Please help due in 30 min!

Answers

Answer:

2 km

Step-by-step explanation:

Reference angle = 45°

Opposite = u

Hypotenuse = 2√2 km

To find u, apply SOH:

Sin 45° = Opp/Hyp

Sin 45° = u/2√2

√2/2 = u/2√2 (sin 45 = √2/2)

Cross multiply

2*u = √2*2√2

2u = 4

Divide both sides by 2

u = 4/2

u = 2 km

Find the length of line segment x.
A)
4
B)
5
6
7

Answers

Answer:

x = 6

Step-by-step explanation:

4(x + 4) = 5(3 + 5) => Intersecting Secants Theorem

4(x + 4) = 5(8)

Open the bracket

4x + 16 = 40

Subtract 16 from each side

4x + 16 - 16 = 40 - 16

4x = 24

4x/4 = 24/4

x = 6

The length of the segment x is 6

The length of the segment x is calculated using the Intersecting Secants Theorem

This is represented as:

[tex]4(x + 4) = 5(3 + 5)[/tex]

Evaluate 3 + 5

[tex]4(x + 4) = 5(8)[/tex]

Open brackets

[tex]4x + 16 = 40[/tex]

Collect like terms

[tex]4x = 40 - 16[/tex]

Evaluate the like terms

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]x = 6[/tex]

Hence, the length of the segment x is 6

Read more about line segments at:

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The scatter plot shows the ages of people at a retreat and the number of events they participated in. The equation for the regression line is yˆ=−1.3x+45.8.

Answers

Answer:

C

Step-by-step explanation:

For each increase of one year of age, the number of events a person participated in decreases by 1.3. Option C is correct.

What is a scatter plot?

As there is only one projection on the x-axis and one projection on the y-axis for each point, scatter plots are graphs that depict individual points of data and are labeled with quantitative values on both coordinate axes. Scatter plots, which display data points on a horizontal and vertical axis, are used to demonstrate how much one variable influences another.

It is given that, the equation for the regression line is yˆ=−1.3x+45.8.

The scatterplot is drawn between the number of events and age which shows the age of event participants.

It is obtained that the number of events a person participated in reduces by 1.3 for every year of age increase.

Thus,option C is correct.

Learn more about the scatter plot here:

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What is the circumference of the circle that has a radius of 8.6mm?

Answers

It depends on what ur question is but the circumference will be around 54.04 because 2xpix8.6

can you guys help me pls NO LINKS

Answers

it's 169.6mm in total so that closer to H
170mm

Help with both questions (8 and 9) please.



No link answers thx

Answers

Step-by-step explanation:

8.

Let the number is x. A number minus 7 is (x-7). It is doubled to get 86. So,

[tex](x-7)^2=86\\\\x-7=\sqrt{86}\\\\x-7=\pm 9.27\\\\x-7=9.27\ and\ x-7=-9.27\\\\x=16.27\ or\ x=-2.27[/tex]

The number can be 16.27 or -2.27.

9.

The diameter of the cylindrical tank, d = 20 ft

Radius, r = 10 ft

It is filled with oil to a depth of h feet.

The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2 h[/tex]

Put the given values,

[tex]V=\pi (10)^2h\\\\V=3.14\times 100\times h\\\\V=314h\ ft^3[/tex]

So, the volume of the tank is equal to [tex]314h\ ft^3[/tex].

Triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

Which of the following sequences of transformations maps XYZ onto ABC?

Sequence A: A translation 2 units to the right and 10 units up, then a reflection over the line AC.

Sequence B: A translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Choose 1 answer:
A: Only sequence A
B: Only sequence B
C: Both
D: Neither​

Answers

Answer:

Only sequence B

Step-by-step explanation:

Got the answer from Khan Academy.

A translation 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

It is given that triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.

In the figure, we can see the translation 6 units to the right and 6 units up, then a 180° rotation about point B.

Therefore, the translation is 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.

To know more about translation follow

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Find the volume of the given prism. Round to the nearest tenth if necessary.

Find the surface area of the cylinder to the nearest whole number,

Answers

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

mark is thinking of two numbers
his two numbers have a positive sum but a negative product
give an example of what hi numbers could be ?

Answers

9514 1404 393

Answer:

  -2, 3

Step-by-step explanation:

For the product to be negative, exactly one of the two numbers must be negative. For the sum to be positive, the positive number must be larger than the absolute value of the negative number.

One such pair of numbers is -2 and 3.

__

Their product is -6; their sum is +1.

Jonathan’s Math test scores were 87,93, 85, 62, and 95. What was his mean score?

Answers

Answer:

the mean is 84.4

Step-by-step explanation:

have a good day

Answer: 84.4

Step-by-step explanation:

You have just secured a job at a web development company. You get paid $19.50 an hour and work
35 hours per week. Your take home pay will be 60% of your total income. You are planning to make
a budget and have estimated that your rent will be about 29% of the total budget. How much money
will you need to pay rent? Answer to the nearest cen



PLEASE HELP ASAP AND IF U SEND A LINK = REPORT

Answers

39,000 PER YEAR FOR THIS

A matched pairs design involves: matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group. randomly assigning participants to groups and then matching pairs of participants. matching pairs of participants based on a variable and then randomly assigning half the pairs of each group. an attempt to control for order effects.

Answers

Answer:

matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group.

Step-by-step explanation:

A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.

A control group generally makes an experiment to work because they are not exposed to the variables and a neutral treatment.

On the other hand, an experimental group can be defined as a collection of participants that are subjected to the independent variable.

A matched pairs design involves matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group. Thus, it's a process which typically involves pairing each individual in an experimental group with respect to another in the control group.

Generally, a matched pairs design is often times used when only a small group of participants are available for an experimental study or research.

I need help in this?!!!!!!!!!!!!!!!

Answers

Answer:

B (2,-3) A (7,-8)

Step-by-step explanation:

they are just the same points but in the negative side of the x-axis

Explain step by step please thank you!

The ratio of teachers to students in a school district is 2 to 47. The number of teachers in the district is 130, how many students are there?​

Answers

Answer:

Number of students in district = 3,055 students

Step-by-step explanation:

Given:

Ratio [Teachers to students] = 2 : 47

Total number of teachers in district = 130

Find:

Number of students in district

Computation:

Number of students in district = Total number of teachers in district[47/2]

Number of students in district = 130[47/2]

Number of students in district = 65[47]

Number of students in district = 3,055 students

IF ITS CORRECT ILL GIVE BRAINLEIST

Draw a line plot to represent the data

Answers

Answer:

Make sure you include the words ^-^

Step-by-step explanation:

the value of the variable which makes an equation a true sentence is called the ___ of the equation​

Answers

Answer:

Solution

Step-by-step explanation:

the value of the variable which makes an equation a true sentence is called the solution of the equation

Two sides of a parallelogram are 500 feet and 790 feet. The measure of the angle
between these sides is 33°. Find the area of the parallelogram to the nearest square
foot

Answers

Answer:

215117 ft²

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

h/500 = sin 33° h = 500 sin 33° h =  272.3 ft

The area is:

A = bh A = 790*272.3 = 215117 ft²

Answer:

215132

Step-by-step explanation:

deltamath

Supplementary solving for x



Answers

Answer:

M<1 is 43 degrees and M<2 is 137

Step-by-step explanation:

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees

First, we know that M<1 and M<2 added together is 180. We know M<1 is 7x+1, so then, we have:

(7x+1) + (M<2) = 180

Therefore, we have 180-(7x+1) = M<2. We can't solve the equation further on from there, so we move on.

Next, we know that M<2 and M<3 added together is 180. We know that M<3 is 12x-29, so then, we have:

(12x-29) + (M<2) = 180

Therefore, we have 180-(12x-29) = M<2. Now, we have two equations to solve x:

180-(7x+1) = M<2 and 180-(12x-29) = M<2. As both equations equal M<2, they equal each other. Thus, we have:

180-(7x+1) = 180-(12x-29)

We can cancel out 180, so:

-(7x+1) = -(12x-29)

-7x-1 = -12x+29

-30 = -5x

x = 6.

Now that we have x, we can find M<1, M<3, and M<2. M<1 is (7x+1), so we use substitution, putting 6 for x, and M<1 is evaluated to 43 degrees.

Now that we have M<1, we can find M<2 easily. M<1 + M<2 = 180, so 43 + M<2 must be 180. Therefore, M<2 is 137 degrees.

We can do the same for M<3, but the problem does not require it.

Pls help me I will mark is your right :)

Answers

I think it’s 12cm:)))))))))))))))))))

There are 24 students in a class, and three of them are named Madison. There are no other students in the class with the same name.

If the teacher calls on students randomly, which of the following BEST describes the probability of a Madison being chosen?

If you cannot see, zoom in on the photo.

Do not answer if you don’t know the answer.
Whoever answers correctly will get Brainliest!

Answers

Answer:

Mizuki is here to help! The answer is D!

Step-by-step explanation:

Ok... So there are 24 students in the class and no other students in the class has the same name right? So the fraction should be [tex]\frac{3}{24}[/tex] since there are three madisons, which will be 0.125!

Since three people have the same name, everyone else gets less probability of getting called so the answer would be D.

Answer:

Option D

Step-by-step explanation:

Total Students in a class: 24

Total Madisons in the class: 3

Denominator is always the total number of something so; [tex]\frac{3}{24}[/tex]

3/24 = 0.125

Any other student would have a probability of [tex]\frac{1}{24}[/tex] of being chosen which is less than [tex]\frac{3}{24}[/tex], therefore, Option D is the most sensible one.

Hope this helps!

Simplify this expression.
4^9/4^3

Answers

Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096

Steps:

[tex]\frac{4^{9} }{4^{3} }[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]

[tex]=4^{9-3}[/tex]

[tex]4^{9} -^{3}[/tex]

=4096

The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

What is simplifying?

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.

Simplification of algebraic expressions, in computer algebra.

Simplification usually involves making the expression simple and easy to use later.

We need to Simplifying the expression

4 ^ 9 / 4 ^ 3 .

Now,  4 ^ 9 / 4 ^ 3

Using exponent formula;

= 4 ^ ( 9 - 3 )

= 4 ^ 6

= 4096

Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

Learn more about simplification here;

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