A report just came out that stated that 24.5% of all Americans say that vanilla is their favorite ice cream, 23.3% say that chocolate is their favorite, .1% favor butter pecan, 9.7% 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 965 of her patrons' ice cream selections. What can be concluded at the a = 0.10 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 216 Chocolate 219 Butter Pecan 110 Strawberry 92 Other 328 b. What is the correct statistical test to use? Select an answer ✓ c. What are the null and alternative hypotheses? Ho: 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 independent. Favorite ice cream and where the ice cream is purchased are dependent. O The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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H₁:
The distribution of favorite ice cream for customers at her shop is the same as it is for
Americans in general.
The distribution of favorite ice cream for customers at her shop is not the same as it is for
Americans in general.
O Favorite ice cream and where the ice cream is purchased are independent.
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=
=
=
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
g. The p-value is Select an answer
h. Based on this, we should Select an answer
i. Thus, the final conclusion is...
α
O 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 the distribution of favorite ice cream for
customers at her shop is 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.
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 the same as it is for Americans in general. The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. O Favorite ice cream and where the ice cream is purchased are independent. 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= = = (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) g. The p-value is Select an answer h. Based on this, we should Select an answer i. Thus, the final conclusion is... α O 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 the distribution of favorite ice cream for customers at her shop is 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. 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.
A report just came out that stated that 24.5% of all Americans say that vanilla is their favorite ice cream,
23.3% say that chocolate is their favorite, 8.1% favor butter pecan, 9.7% 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 965 of her patrons' ice cream selections. What can be concluded at
the a = 0.10 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 216
Chocolate 219
Butter Pecan 110
Strawberry 92
Other
328
b. What is the correct statistical test to use?
Select an answer ✓
c. What are the null and alternative hypotheses?
Ho:
The distribution of favorite ice cream for customers at her shop is the same as it is for
Americans in general.
Favorite ice cream and where the ice cream is purchased are independent.
O Favorite ice cream and where the ice cream is purchased are dependent.
O 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:A report just came out that stated that 24.5% of all Americans say that vanilla is their favorite ice cream, 23.3% say that chocolate is their favorite, 8.1% favor butter pecan, 9.7% 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 965 of her patrons' ice cream selections. What can be concluded at the a = 0.10 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 216 Chocolate 219 Butter Pecan 110 Strawberry 92 Other 328 b. What is the correct statistical test to use? Select an answer ✓ c. What are the null and alternative hypotheses? Ho: The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. Favorite ice cream and where the ice cream is purchased are independent. O Favorite ice cream and where the ice cream is purchased are dependent. O 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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