lints X(135Hints X5 Hints XD (135) XO (135) XD (135) XD (135) X/showtest.php?action=skip&to=118&reattempt=11Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women ata popular breakfast place are shown below.Frequencies of Breakfasts for Men and WomenFrench ToastPancakesWafflesOmeletsMen79518876Women996810058What can be concluded at the a = 0.05 significance level?a. What is the correct statistical test to use?O HomogeneityO Goodness-of-FitO IndependenceO Paired t-testb. What are the null and alternative hypotheses?Но:O The distribution of breakfast ordered for men is the same as it is for women.O Breakfast ordered and gender are dependent.O The distribution of breakfast ordered for men is not the same as it is for women,O Breakfast ordered and gender are independent.HL:OThe distibution ofdorad fas meDD000000F11F9F10F5F6F7F8F4 O Hints XO (135) XS Hints X6 Hints xD (135) XO (135) XD (135) XD (135) Xent/showtest.php?action=skip&to=11&reattempt=11H1:O The distribution of breakfast ordered for men is not the same as it is for women.O Breakfast ordered and gender are dependent.O Breakfast ordered and gender are independent.O The distribution of breakfast ordered for men is the same as it is for women.c. The test-statistic for this data =(Please show your answer to three decimal places.)d. The p-value for this sample =(Please show your answer to four decimal places.)e. The p-value is Select an answerf. Based on this, we shouldO fail to reject the nullO accept the nullOreject the nullg. Thus, the final conclusion is...O There is sufficient evidence to conclude that the distribution of breakfast ordered for men is not thesame as it is for women

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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lints X
(135
Hints X
5 Hints X
D (135) X
O (135) X
D (135) X
D (135) X
/showtest.php?action=skip&to=118&reattempt=11
Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at
a popular breakfast place are shown below.
Frequencies of Breakfasts for Men and Women
French Toast
Pancakes
Waffles
Omelets
Men
79
51
88
76
Women
99
68
100
58
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
O Homogeneity
O Goodness-of-Fit
O Independence
O Paired t-test
b. What are the null and alternative hypotheses?
Но:
O The distribution of breakfast ordered for men is the same as it is for women.
O Breakfast ordered and gender are dependent.
O The distribution of breakfast ordered for men is not the same as it is for women,
O Breakfast ordered and gender are independent.
HL:
OThe distibution of
dorad fas me
DD
000
000
F11
F9
F10
F5
F6
F7
F8
F4

O Hints X
O (135) X
S Hints X
6 Hints x
D (135) X
O (135) X
D (135) X
D (135) X
ent/showtest.php?action=skip&to=11&reattempt=11
H1:
O The distribution of breakfast ordered for men is not the same as it is for women.
O Breakfast ordered and gender are dependent.
O Breakfast ordered and gender are independent.
O The distribution of breakfast ordered for men is the same as it is for women.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample =
(Please show your answer to four decimal places.)
e. The p-value is Select an answer
f. Based on this, we should
O fail to reject the null
O accept the null
Oreject the null
g. Thus, the final conclusion is...
O There is sufficient evidence to conclude that the distribution of breakfast ordered for men is not the
same as it is for women

Expert Solution

Step 1

Here, given 4 options for breakfast divided according to the choice of some randomly selected men and women. Here are some given frequencies for each choice. The testing problem is to test whether men and women select different breakfast or not. So, here are two categorical variables, men and women and the problem is to test the difference in their choices of breakfast. So, the appropriate statistical test to use in this case would be test for independence.

Goodness of fit test is not applicable here. This test is used to check how well the sample data fits the population data.

Test of homogeneity is not applicable because the purpose is not to test whether all the frequencies are same or not.

Paired t test is used when the parent population is normal and also for testing the difference between same group.

So, the correct option is independence.

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