A pharmaceutical company claims that one of its drugs works on 90% of those who have a certain ailment. An experimenter, suspicious that the company is overexaggerating the drug's efficacy, decides to collect data to test the pharmaceutical company's claim to see if the true efficacy might be less. Of the 250 individuals surveyed, 215 individuals said the drug helped their ailment.
a. What is the null hypothesis?
b. What is the Z-value?
c. Based on an alpha of .10, should we reject or fail to reject the test?
d. What is the result of finding a z-statistic that is more extreme than the critical value?
Answers
Answer:
Below is the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
For point a:
[tex]H_0 : p \geq 0.90[/tex]
For point b:
[tex]z=\frac{\frac{x}{n}-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{\frac{215}{250}-0.90}{\sqrt{\frac{0.9 \times 0.10 }{250}}}= -2.11\\\\[/tex]
For point c:
[tex]Z_{critical} =z_{\alpha}=-1.28[/tex]
since the test statistics [tex]< Z_{critical}\\\\[/tex]
Reject [tex]H_o[/tex]
For point d:
[tex]P(|z \leq -2.11|)=0.0174[/tex]
Related Questions
¿Cuál es el área de un solar rectangular cuyas dimensiones son 12m de largo y 11m de ancho?
Answers
Answer:
Es 46m. (opción B)
Step-by-step explanation:
12m. x 2 = 24m.
11m. x 2 = 22m.
22m. + 24m. = 46m.
Espero que te ayude
where happened if you have sex
Answers
Answer:
you have a chance of having a baby...
Answer:
chance of relief stress and having a baby
Step-by-step explanation:
hope it helps you
can you please answer this
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Answer:
C is the correct answer
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
C:Flipping a coin twelve times
Step-by-step explanation:
HOPE IT HELPS YOU!!
Please guys help me.
Answers
Answer:
Option B
Step-by-step explanation:
For the polygons to be similar, the dilation ratio must be uniform for all sides.
>> In option A, each side of the bigger hexagon is 8cm while each side of the smaller one is 5 cm. Thus, the dilation ratio is uniform at 8:5. Thus, they are similar polygons.
>> In option B, the longer side of the big rectangle is 12 inches and reduces to 10 inches. Which means a ratio of 6:5 whereas, the shorter side reduces from 7 to 6 which is a ratio 7:6. Since both ratios are different, then it means that both rectangles are not similar.
>> In option C, the hypotenuse of the big triangle is 15 m and reduces to 10 m in the small triangle. This gives a ratio of 3:2.
The perpendicular side of the big triangle is 9m which reduces to 6 m in the small one. This is a ratio of 3:2.
The horizontal side of the big triangle 12m which reduces to 8m in the small triangle. This is a ratio of 3:2.
Since all the ratios are same, then they are similar triangles.
>> In option D, each side of the bigger polygon is 7ft while each side of the smaller one is 4ft. Thus, the dilation ratio is uniform at 7:4. Thus, they are similar polygons.
Estimate the line of best fit using two points on the line 100 90 80 70 (e, 80) 60 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x+10 C. y= 10x + 2 OD. y= 10x
Answers
Answer:
[tex]y = 10x[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]
We have:
[tex](x_1,y_1) = (8,80)[/tex]
[tex](x_2,y_2) = (2,20)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20 - 80}{2- 8}[/tex]
[tex]m = \frac{-60}{-6}[/tex]
[tex]m = 10[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 10(x - 8) + 80[/tex]
Expand
[tex]y = 10x - 80 + 80[/tex]
[tex]y = 10x[/tex]
Question #2, show how you know
Answers
Answer: Choice B is correct.
==================================================
Explanation:
We are told that the derivative function f ' (x) is positive for all real numbers x. This means that f(x) is increasing for all real numbers. An increasing function goes uphill as you move from left to right. This rules out choices C and D.
We're also told that the integral of f(t), from t = 4 to t = 7, is equal to 0. Because f(x) is increasing, this must mean that some portion of f(x) is below the x axis and some portion is above the x axis when focused on the interval of [tex]4 \le x \le 7[/tex]. This allows us to rule out choice E since there are no portions that are below the x axis here.
At this point, the answer is between A and B. We can rule out choice A for similar reasoning we did with choice E. This time, there is no portion that is above the x axis. We need a negative area (below the x axis) to counterbalance with a positive area (above the x axis) so that the two areas cancel out and add to 0. That doesn't happen with choice A.
The only thing left is choice B so that must be the answer. We have a portion below the x axis and a portion above it, so it's possible that these two areas cancel out to add to 0. Since we don't know the actual f(x) function, it's impossible to tell whether that happens or not.
Probability Event:
You ask 5 people what month their birthday is in. What is the probability that they will all be in the summer?
Label the probability event above as either
A
Independent
B
Dependent
Answers
Answer:
Dependent
Explanation:
All of the birthdays being in summer depends on the birthdays of each person.
Players of a game at the school carnival will be
allowed to draw a token for a prize. The prizes
include 8 yo-yos, 9 key chains, 12 stuffed
animals, 11 movie passes, 16 video rentals, and 14
flying disks. For each prize, there is one token
available to be drawn.
What is the probability that the first winner to
draw a token will win a stuffed animal?
Answers
Answer:
if what the person draw wot the stuffed animal there is a probability for the winner to win stuffed animal
KkkjwjwjwiwieieieieieieiejeieieieieieieJ
Answers
Thanks for the points.
Yall wanna hear a joke
Answers
Answer:
Sure!
Step-by-step explanation:
Answer:
yeah sure...
....!!!!!!!!!!
Find P(15,6) The subject is permutations
Answers
Answer:
3603600
Step-by-step explanation:
I used my calculator
Determine the value of x.
Answers
Answer:50
Step-by-step explanation:
14^2+48^2=2500
a^2+b^2=c^2
c^2=2500
c=50
BRAINLIEST if correct
Answers
Answer:
A=38.88 or 38.9
Step-by-step explanation:
If both are similar then the 9 and the 7.2 are the same
9-7.2= 1.8
9x6=54
7.2-1.8=5.4
7.2x5.4=38.88 or 38.9
A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Answers
9514 1404 393
Answer:
boat: 48 km/hcurrent: 14 km/hStep-by-step explanation:
The upstream speed is ...
u = (204 km)/(6 h) = 34 km/h
The downstream speed is ...
d = (372 km)/(6 h) = 62 km/h
The speed of the boat in still water is the average of these values:
b = (34 kph +62 kph)/2 = 48 kph
The speed of the water is the difference between the boat's speed and the speed made good:
w = 48 -34 = 14 . . . km/h
The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.
Plz hurry in need help !!
Answers
Since he wants run more that 2 miles, m( the number of miles he runs) would be >2 (greater than 2)
The number line shows m>2, since the circle in open, it does not include 2, which makes it correct.
Hope this helps.
sandwiches to milk cartons
A class has 6 boys and 15 girls. What is the ratio of boys to girls?
Answers
Answer:
6:15
Step-by-step explanation:
Boys : Girls
6 : 15
the side length of a triangle are 9,12 and 15. Which side will be opposite the right angle?
Answers
Answer:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
Answer:
c
Step-by-step explanation:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
the figure above, not drawn to scale, consists of a triangle resting on a square of side 5cm. the height of the triangle is 4cm. what is the total area of the figure?
Answers
Answer:
5x4x2
Step-by-step explanation:
The total area of the figure id 35 square cm.
What is area?The amount of space taken up by a two dimensional space is called area.
What is the formula for the area of triangle?The formula for the area of a triangle is
[tex]A = \frac{1}{2} (b)(h)[/tex]
Where,
A is the area of triangle.
b is the base of a triangle.
h is the height of the triangle.
What is the formula for the area of square?The formula for the area of square is
[tex]Area = a^{2}[/tex]
Where,
a is the side length of square.
According to the given question.
A triangle is resting on a square.
Side length of square, a = 5cm
So, the area of square = [tex]5^{2} = 25 square cm[/tex]
Also, a triangle with height 4cm.
Since, the triangle is resting on a square.
⇒ Base length of the triangle = 5cm
So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]
Therefore,
The total area of the given figure = Area of square + Area of triangle
⇒ Total area of figure = (25 + 10) square cm
⇒ Total area of figure = 35 square cm
Hence, the total area of the figure id 35 square cm.
Find out more information about area of triangle and square here:
https://brainly.com/question/11952845
#SPJ3
please help me on this question,...........
Answers
jonathan walks to school on a sidewalk by going 8 blocks to the east and then 6 blocks south. how much distance (in blocks) would he save if he cut across the field to go to achool instead of walking along the sidewalk?
Answers
Answer:
Is there an image to visualize the field?
Step-by-step explanation:
I would love to help.
Can someone please please help me with my math , english and health questions. im failing in all these classes and extremely need help. Some already have one answer but it isnt correct or someone just wrote down stuff just to get points. ( Will Mark Brainliest for each correct answer).
Answers
Answer:
okie we will try our best
Math help! I need help!!
Answers
Answer:
D. angle 7 and angle 5.
Step-by-step explanation:
Angle 7 and angle 5 are vertical angles; vertical angles will always be congruent (equal).
Find the value of x.
Answers
The cost price of article is Rs400 and selling price is Rs500 . Find profit?
Answers
Answer:
100
Step-by-step explanation:
Rs500-Rs400=Rs100.
Lee watches TV for 4 hours per day. During that time, the tv consumes 150 watts per hour. Electricity cost (12 cents)/(1 kilowatt-hour). How much does Lee's tv cost to operate for a month of 30 days?
Answers
Answer:
$2.16
Step-by-step explanation:
150 * 4 = 600watt-hours
600 = 0.6kilowatt-hours
0.6 * 30 = 18kilowatt-hours
18 * 0.12 = $2.16
Classify each number below as a rational number or an irrational number.
rational irrational
Answers
Irrational
Rational
Rational
Irrational
-√25 rational
[tex]\frac{14}{19}[/tex] irrational
9π irrational
2√2 irrational
87.39... rational
Edgar rolls two 6-sided number cubes What is the probability that he rolls a sum of 9? Use the diagram of the sample space to help you A. 2/36 , or 1/15 B. 1/11 C. 9/36, or 1/4 D. 1/36 or 1/9
Answers
The probability that he rolls a sum of 9 given the sample space is . 9/36, or 1/4.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that he rolls a sum of 9 = cubes that have a sum of 9 / total number of cubes
9/36 = 1/4
To learn more about probability, please check: https://brainly.com/question/13234031
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Answer:
I believe it's A
Step-by-step explanation:
A. 2/36, or 1/15
Sam is getting ready for a big date when he realizes that he has no money. his roommate, Bill, also has no money, but he has a credit card. knowing that nobody will let Sam use Bill's credit card, Sam asks Bill to put out a cash advance for $120.00. Bill agrees under the condition that Sam is responsible for all interest that accrues on the cash advance which is 30% interest rate, compounded monthly. The $120 cash advance is repaid in monthly installments over 5 years. How much should Bill ask Sam to pay in interest for the cash advance?
Answers
Answer:
b 112.80
Step-by-step explanation:
took test on edge
The interest that accrues on the initial down payment at 30% interest rate is $408 .
What is interest?The term interest refers to money that accrues on a principal sum. It is commonly employed in the parlance of borrowing money.
Since it is a compound interest;
A = P(1 + r/n)^nt
Where;
A = amount
P = principal
r = rate
n = number of times compounded per year
t = total time taken
A = 120(1 + 0.025)^12 × 5
A = $528
A = P + I
I = A - P
I = $528 - $120
I = $408
Learn more about compound interest: https://brainly.com/question/25857212
In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°. Find the length of s, to the nearest 10th of an inch.
Answers
Answer:
0.8 inches
Step-by-step explanation:
< R = 180-23-22 = 135°
the length of s = 1.5 × sin 23° / sin 135°
= 1.5 × 0.391 / 0.707 = 0.5865/0.707
= 0.8 inches