A report just came out that stated that 24.9% of all Americans say that vanilla is their favorite ice cream, 22.9% say that chocolate is their favorite, 9.7% favor butter pecan, 9.6% 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 930 of her patrons' ice cream selections. What can be concluded at the ax = 0.05 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 227

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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A report just came out that stated that 24.9% of all Americans say that vanilla is their favorite ice cream,
22.9% say that chocolate is their favorite, 9.7% favor butter pecan, 9.6% 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 930 of her patrons' ice cream selections. What can be concluded at
the ax = 0.05 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 227
Chocolate 228
Butter Pecan 107
Strawberry 85
Other
283
b. What is the correct statistical test to use?
Select an answer V
c. What are the null and alternative hypotheses?
Ho:
Favorite ice cream and where the ice cream is purchased are dependent.
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 The distribution of favorite ice cream for customers at her shop is not the same as it is for
Americans in general.
H₁:
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.
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 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.)
Transcribed Image Text:A report just came out that stated that 24.9% of all Americans say that vanilla is their favorite ice cream, 22.9% say that chocolate is their favorite, 9.7% favor butter pecan, 9.6% 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 930 of her patrons' ice cream selections. What can be concluded at the ax = 0.05 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 227 Chocolate 228 Butter Pecan 107 Strawberry 85 Other 283 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: Favorite ice cream and where the ice cream is purchased are dependent. 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 The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. H₁: 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. 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 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.)
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