A company sells their product in Canada and the United States. They wonder if people in both countries will respond similarly to a new advertisement for the product. They show the ad to a sample of 202020 Canadians and a separate sample of 202020 Americans. Here is a summary of the responses in each sample and the results from a chi-squared test:

Chi-square test: Response vs. country
Canada US
Positive 11 5
Expected 8.0 8.0
Neutral 6 5
Expected 5.5 5.5
Negative 3 10
Expected 6.5 6.5

x = 6.110, DF = 2, P-value = 0.047

Assume that all conditions for inference were met. At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test?

Answers

Answer 1

Answer:

This is convincing evidence that the responses differ between these countries.

Step-by-step explanation:

The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.

Answer 2

The most appropriate conclusion to draw from the test is an evidence of a significant association between the country of origin and the responses to the new advertisement

What is chi squared statistic?

The chi-squared statistic (often denoted as χ^2) is a measure of the discrepancy between the observed frequencies and the expected frequencies in a categorical data set. It is commonly used in statistical hypothesis tests to assess whether there is a significant association or relationship between categorical variables.

The formula for calculating the chi-squared statistic depends on the type of data and the specific hypothesis being tested. In general, it involves computing the sum of squared differences between the observed and expected frequencies, divided by the expected frequencies.

The chi-squared statistic follows a chi-squared distribution, and its value can be compared to critical values or used to calculate a p-value to determine the statistical significance of the association.

Given data ,

Based on the given summary and the results of the chi-squared test, we can draw the following conclusion:

At the significance level of α = 0.05, we have enough evidence to reject the null hypothesis and conclude that there is a statistically significant difference in the responses to the new advertisement between Canadians and Americans.

The chi-squared statistic (x) of 6.110 with 2 degrees of freedom (DF) produces a p-value of 0.047, which is less than the significance level of 0.05.

This indicates that the observed differences in the responses between the two countries are unlikely to occur by chance alone, and there is evidence of a significant association between the country of origin and the responses to the new advertisement.

Hence , the chi-squared statistic is solved

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Related Questions

Write --X2 = 15 in standard form.

Answers

i’m assuming this is -x^2 = 15
standard form: -x^2 - 15 = 0

Find the area of the following figure. Assume that all lines that appear to be parallel are parallel. Round to the nearest tenth if necessary.

Answers

Answer:

466in³

Step-by-step explanation:

Cut the figure in to two rectangles and one triangle. Draw an imaginary line like I did in the photo. Then solve the area of each one. First to solve the area of a, or the largest rectangle, multiply 29 by 10. You will get 290. Next, solve the area of b, or the small rectangle. Multiply 7 by 16, and you will get 112. Then, solve the area of the triangle. To get the length of the base of the triangle, subtract 10 and 7 from 25. The base length is 8. Solve the area of the triangle by multiplying 8 by 16 and then dividing by two. The area is 64. Finally, add all the areas. 290+112+64= 466. The area of the figure is 466in³.


2. A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at
random, one at a time. What is the maximum number of marbles he must remove to be sure that the bag
consist at least 1 marble of each colour?
(a) 1
b) 2
(c) 4
(d) 10

Answers

Answer:

c

the total number of marbles are 12 and there are 3 colours so you divide 12 by 3

the answer is 4. just divid 12/3since there is 12 in total

Liz has two pieces of string; one 18cm long, the other 24cm long. She wants to cut them
up to make pieces of string that are all the same length with no string left over. What is the
greatest length she can make the pieces of string?

Answers

Answer:

6cm

Step-by-step explanation:

length of the longest string=24

length of the shortest string=18.

for both string to have the same length,

24-x=18

x=24-18

=6cm

1 pts
Your school is having a drawing to give away two prizes to students with
perfect attendance. There are ten total students with perfect attendance in
the drawing and you and your best friend are two of those ten. What is the
probability that you and your friend would win the two prizes that your
school is giving away?

Answers

Answer:

20% im guessing bc they are out of ten people

A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08

Answers

Answer:

48(c)

Step-by-step explanation:

4.8=48 as move 10 will change 4.8 as 48

Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if you do plz help

Answers

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

Alex's pig weighs under 220 pounds.
Let p = the weight of the pig

Answers

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

The diagram shows three forces being applied to a crate on a floor. If the crate is to remain stationary, what amount of force must be applied for z?

Answers

Answer:

800 N

Step-by-step explanation:

I don’t know I just submitted it and that was the answer

*10 POINTS *
find the value of x

x = ___??

Answers

The value is 22 because I took the test

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

You can create a proportion with the sides and solve for x:

[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]

[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]

[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]

[tex]-20x+50=90[/tex]

[tex]-20x=40[/tex]

[tex]x=-2[/tex]

solve 2x^2+3x-2 when x=5

Answers

Answer:

63

Step-by-step explanation:

2(5)²+3(5)-2

50+15-2

using bodmas

65-2

63

Answer:

63

Step-by-step explanation:

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08

Answers

Answer:

a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

b) Capacity of 252.6 cubic feet per second

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).

This means that [tex]m = 100, \mu = \frac{1}{100} = 0.01[/tex]

(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

We have that:

[tex]P(X > x) = e^{-\mu x}[/tex]

This is P(X > 190). So

[tex]P(X > 190) = e^{-0.01*190} = 0.1496[/tex]

0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?

This is x for which:

[tex]P(X > x) = 0.08[/tex]

So

[tex]e^{-0.01x} = 0.08[/tex]

[tex]\ln{e^{-0.01x}} = \ln{0.08}[/tex]

[tex]-0.01x = \ln{0.08}[/tex]

[tex]x = -\frac{\ln{0.08}}{0.01}[/tex]

[tex]x = 252.6[/tex]

Capacity of 252.6 cubic feet per second

HELPPPPP! Tamlin collects action figures and has 2 more female action figures than male action figures. He chooses two action figures randomly. Write and simplify an expression that represents the probability that Tamlin will pick two female action figures without replacing the first action figure. Let x be the number of male action figures.

Answers

Answer:

x+2/2(2x+1)

Step-by-step explanation:

Tamlin has x male action figures and x + 2 female action figures, so a total of x + x + 2, or 2x + 2 action figures. The probability of picking two female action figures without replacement is equal to the product of the probability of

-picking 1 female action figure from the total number and

-picking 1 female action figure after 1 has been removed.

The probability of picking 1 female action figure from the total is equal to the total number of female action figures divided by the total number of action figures.

The probability of picking 1 female action figure after 1 has been removed is equal to the total number of female action figures minus 1 divided by the total number of action figures minus 1.

Multiply these two expressions and simplify.

Answer:

The answer is x+2/2(2x+1)

The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.​

with the formula plsssss

Answers

Given Information :

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

To calculate :

• Length of the third side.

Calculation :

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

Perimeter of = Sum of all sides

Perimeter = 35 cm.

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?

Answers

Answer:

84 people

Step-by-step explanation:

When a graph line is vertical, it indicates that the relation:

Answers

Answer:

The relation has an undefined slope if the graph line is just vertical.

Rachel received 27 cents in change after purchasing a pet gerbil. How many different combinations of coins could she have received from the store clerk? Make a list of all the possibilities. Use the space below to write all of the possibilities. One has been done for you. ​

Answers

Answer:

gfddgjjjffdbbshshhshshshhshhbsbdbddbdvbd

What is the answer to
8/12 = ?/3

Answers

Answer:

2/3 is the answer.

Its divided by 4...

Hope it helps!!!

Answer:

2/3(Bolded number is the answer)

Step-by-step explanation:

8/12(divide by 4)

?/3

So, you get 2 as 8 divided by 4 is 2.

What is the value of the expression 2[3(4^2+1)]-2^3?

Answers

Answer: 94

Step-by-step explanation: use photo math :)

y=x^2+14x+3
what’s (x,y)

Answers

Answer:

(-7, -46)

Step-by-step explanation:

David wants to test a claim about a population mean. The population standard deviation is unknown, the sample is a simple random sample of size 20, and the population is normally distributed. In this case, the t-test should be used since σ is unknown. If David incorrectly uses the z-distribution instead of the t-distribution, will he obtain a P-value that is too big or too small? Explain your thinking. Will he be more likely or less likely to reject the null hypothesis than if had correctly used the t-distribution?

Answers

Answer:

a)The P-value will be too small

b) He will reject the Null hypothesis

Step-by-step explanation:

a) If David incorrectly uses the z-distribution instead of the t-distribution, he will obtain a p-value that is too small   because p-values obtained using Z distribution are smaller when compared to p-values obtained using t-distribution

b) He will reject the Null hypothesis given that the P value he will obtain will be very different from the one he obtained using z-distribution

1
Type the correct answer in the box.
5 units
2 units
2 units
3 units
2 units
The area of the figure is
square units
Reset
Next

Answers

You didn't add enough information to solve this problem. Comment on this when you do.

Answer:

Is there any more information to this so I can try and help

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

Answers

It would be 3/8 since you divide the 3 bottles to 8 players

Which expression is equivalent to

Answers

Answer:

D is the answer

Step-by-step explanation:

2j²/3k⁴ simplified form

The answer is The last answer choice 2j to the power of 2 over 3k to the power of 4

which of the following is written as a rational function

Answers

What??????????????????????

Answer:

f(x)=x-5/3x

Step-by-step explanation:

Find the surface area of the cylinder shown

Answers

Answer:

1041.44

Step-by-step explanation:

A=2πrh+2πr^2

=2π6.5×19+2π6.5^2≈1041.43796

26)
Ahmed states that as the parabola below is narrower than the parent function, the value of a is
0

PLEASE I WILL MARK BRANLIESTTTTT!!!!! IF U GUVE THE RIGHT ANSWER

Answers

Answer:

Ahmed is incorrect.  The first thing to note is that if the value of a is 0, than it is not a quadratic function- it is a linear function.

Second thing to not is that a parabola because narrower as the value of  a increases, not decreases.  If the parabola is narrower than the parent graph, that means a has a value that is greater than 1.

Please remember to brainliets this answer.

A triangle has one 40° angle and two 70° angles. Is this triangle equilateral?​

Answers

Answer:

No

Step-by-step explanation:

All angles have to be =

The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the shortest and longest sides. Find the lengths of the three sides.

Answers

Answer:

since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.

so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.

check Add them up it is 51cms  which is the perimeter and the consecutive odd numbers

Another math question.

Answers

Answer:

65536

Step-by-step explanation:

(4^3)^2×4^2

4^6×4^2

4^8

65536

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