need help please A recent report states that 21.9% of Americans prefer vanilla ice cream, 23.8% prefer chocolate, 9.6% prefer butter pecan, 9.1% prefer strawberry, and the rest have other preferences. An ice cream shop owner suspects her customers' preferences differ from the national averages. The table below shows the preferences of 775 customers. The results will be evaluated at a 0.01 significance level.**Table: Frequencies of Favorite Ice Cream**| Outcome | Frequency | Expected Frequency ||-------------|-----------|--------------------|| Vanilla | 156 | || Chocolate | 184 | || Butter Pecan| 68 | || Strawberry | 72 | || Other | 295 | |a. **Complete the table by filling in the expected frequencies.** Round your answers to the nearest whole number.b. **What is the correct statistical test to use?**- The options are not visible, but typically this would involve a chi-square test for goodness of fit.c. **What are the null and alternative hypotheses?**- Null Hypothesis (\(H_0\)): The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general.- Alternative Hypothesis: The distribution of favorite ice cream for customers at her shop is not 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.- ○ 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] αh. Based on this, we should [Select an answer]i. Thus, the final conclusion is…- ○ 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.- ○ 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.- ○ 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.

The question is about categorical data analysis.Given :Proportion of people whose favorite ice cream…

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.