# A report just came out that stated that 23.6% of all Americans say that vanilla is...

###### Question:

A report just came out that stated that 23.6% of all Americans say that vanilla is their favorite ice cream, 23.8% say that chocolate is their favorite, 9.7% favor butter pecan, 9% 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 970 of her patrons' ice cream selections. What can be concluded at the a = 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 210 Chocolate 219 Butter Pecan 92 Strawberry 101 Other 348 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 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.
H: 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. Favorite ice cream and where the ice cream is purchased are independent. Favorite ice cream and where the ice cream is purchased are dependent. d. The degrees of freedom e. The test-statistic for this data (Please show your answer to three decimal places.) f. The p-value for this sample= (Please show your answer to four decimal places.) g. The p-value is Select an answer va h. Based on this, we should Select an answer i. Thus, the final conclusion is... There is sufficient 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. 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 not the same as it is for Americans in general. 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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