A report just came out that stated that 21.9% of all Americans say that vanilla is their favorite ice cream, 23.8% say that chocolate is their favorite, 9.6% favor butter pecan, 9.1% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 775 of her patrons' ice cream selections. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Outcome Frequency Expected Frequency Vanilla 156 Chocolate 184 Butter Pecan 68 Strawberry 72 Other 295 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: O Favorite ice cream and where the ice cream is purchased are dependent. O Favorite ice cream and where the ice cream is purchased are independent. O The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. O The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

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A report just came out that stated that 21.9% of all Americans say that vanilla is their favorite ice cream,
23.8% say that chocolate is their favorite, 9.6% favor butter pecan, 9.1% favor strawberry, and the rest
have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America.
The table below shows the results of 775 of her patrons' ice cream selections. What can be concluded at
the α = 0.01 significance level?
a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole
number.
Frequencies of Favorite Ice Cream
Outcome Frequency Expected Frequency
Vanilla
156
Chocolate 184
Butter Pecan 68
Strawberry 72
Other 295
b. What is the correct statistical test to use?
Select an answer
c. What are the null and alternative hypotheses?
Ho:
Favorite ice cream and where the ice cream is purchased are dependent.
O Favorite ice cream and where the ice cream is purchased are independent.
The distribution of favorite ice cream for customers at her shop is not the same as it is for
Americans in general.
O The distribution of favorite ice cream for customers at her shop is the same as it is for
Americans in general.
Transcribed Image Text:A report just came out that stated that 21.9% of all Americans say that vanilla is their favorite ice cream, 23.8% say that chocolate is their favorite, 9.6% favor butter pecan, 9.1% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 775 of her patrons' ice cream selections. What can be concluded at the α = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Outcome Frequency Expected Frequency Vanilla 156 Chocolate 184 Butter Pecan 68 Strawberry 72 Other 295 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: Favorite ice cream and where the ice cream is purchased are dependent. O Favorite ice cream and where the ice cream is purchased are independent. The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. O The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general.
H₁:
The distribution of favorite ice cream for customers at her shop is not the same as it is for
Americans in general.
Favorite ice cream and where the ice cream is purchased are independent.
The distribution of favorite ice cream for customers at her shop is the same as it is for
Americans in general.
O Favorite ice cream and where the ice cream is purchased are dependent.
d. The degrees of freedom =
e. The test-statistic for this data =
f. The p-value for this sample=
g. The p-value is Select an answer
h. Based on this, we should Select an answer
i. Thus, the final conclusion is...
α
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
There is sufficient evidence to conclude that the distribution of favorite ice cream for
customers at her shop is not the same as it is for Americans in general.
There is sufficient evidence to conclude that favorite ice cream and where the ice cream is
purchased are dependent.
O There is insufficient evidence to conclude that favorite ice cream and where the ice cream is
purchased are dependent.
There is sufficient evidence to conclude that the distribution of favorite ice cream for
customers at her shop is the same as it is for Americans in general.
O There is insufficient evidence to conclude that the distribution of favorite ice cream for
customers at her shop is not the same as it is for Americans in general.
Transcribed Image Text:H₁: The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. Favorite ice cream and where the ice cream is purchased are independent. The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. O Favorite ice cream and where the ice cream is purchased are dependent. d. The degrees of freedom = e. The test-statistic for this data = f. The p-value for this sample= g. The p-value is Select an answer h. Based on this, we should Select an answer i. Thus, the final conclusion is... α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) There is sufficient evidence to conclude that the distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. There is sufficient evidence to conclude that favorite ice cream and where the ice cream is purchased are dependent. O There is insufficient evidence to conclude that favorite ice cream and where the ice cream is purchased are dependent. There is sufficient evidence to conclude that the distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. O There is insufficient evidence to conclude that the distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general.
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