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 Oaccept the null Oreject the null fail to reject the null g. Thus, the final conclusion is... There is sufficient evidence to conclude that breakfast ordered and gender are depene There is insufficient evidence to conclude that breakfast ordered and gender are depe There is insufficient evidence to conclude that the distribution of breakfast ordered f the same as it is for women. W There is sufficient evidence to conclude that the distribution of breakfast ordered for same as it is for women There is sufficient evidence to conclude that the distribution of breakfast ordered for same as it is for women.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
100
59
84
87
Women
72
66
107
58
What can be concluded at the a = 0.01 significance level?
a. What is the correct statistical test to use?
Goodness-of-Fit
Independence
Paired t-test
OHomogeneity
b. What are the null and alternative hypotheses?
Ho:
Breakfast ordered and gender are dependent.
The distribution of breakfast ordered for men is the same as it is for women.
Breakfast ordered and gender are independent.
OThe distribution of breakfast ordered for men is not the same as it is for women.
O O
Transcribed Image Text: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 100 59 84 87 Women 72 66 107 58 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Independence Paired t-test OHomogeneity b. What are the null and alternative hypotheses? Ho: Breakfast ordered and gender are dependent. The distribution of breakfast ordered for men is the same as it is for women. Breakfast ordered and gender are independent. OThe distribution of breakfast ordered for men is not the same as it is for women. O O
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
Oaccept the null
Oreject the null
Ofail to reject the null
g. Thus, the final conclusion is...
OThere is sufficient evidence to conclude that breakfast ordered and gender are dependent.
There is insufficient evidence to conclude that breakfast ordered and gender are dependent.
OThere is insufficient evidence to conclude that the distribution of breakfast ordered for men is not
the same as it is for women.
OThere is sufficient evidence to conclude that the distribution of breakfast ordered for men is not the
same as it is for women
There is sufficient evidence to conclude that the distribution of breakfast ordered for men is the
same as it is for women.
Transcribed Image Text: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 Oaccept the null Oreject the null Ofail to reject the null g. Thus, the final conclusion is... OThere is sufficient evidence to conclude that breakfast ordered and gender are dependent. There is insufficient evidence to conclude that breakfast ordered and gender are dependent. OThere is insufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women. OThere is sufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women There is sufficient evidence to conclude that the distribution of breakfast ordered for men is the same as it is for women.
Expert Solution
Working
O E (O-E)^2 (O-E)^2/E
100 89.66825 106.7451315 1.190445177
59 65.16588 38.01803643 0.58340405
84 99.57346 242.5326475 2.435715784
87 75.59242 130.1329485 1.721507971
72 82.33175 106.7451315 1.29652445
66 59.83412 38.01803643 0.635390549
107 91.42654 242.5326475 2.652759765
58 69.40758 130.1329485 1.874909671

 

The test statistic is given by

\chi ^2 = \sum \frac{(O-E)^2}{E}
{\color{Red} \chi ^2 = 12.3907 }

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