**Ice Cream Preferences Statistical Analysis**A recent report indicates the following preferences for ice cream flavors among Americans:- 23.8% prefer Vanilla- 20.9% prefer Chocolate- 1% prefer Butter Pecan- 8.2% prefer Strawberry- The rest have other preferencesAn ice cream shop owner wants to determine if her customers' flavor preferences differ from the national averages. The data collected includes 955 selections from her patrons.**Analysis Tasks:**a. **Complete the Frequency Table:**| Outcome | Frequency | Expected Frequency ||-------------|-----------|--------------------|| Vanilla | 216 | || Chocolate | 195 | || Butter Pecan| 91 | || Strawberry | 92 | || Other | 361 | |- Compute the expected frequencies based on national percentages and the total sample size (955).b. **Select the Correct Statistical Test:**- Use a chi-square test for goodness of fit to compare observed frequencies against expected frequencies.c. **Formulate Hypotheses:**- **Null Hypothesis (H₀):** The distribution of favorite ice cream flavors among the shop's customers is the same as the national distribution.- **Alternative Hypothesis (H₁):** The distribution of favorite ice cream flavors among the shop's customers is different from the national distribution.d. **Calculate Degrees of Freedom:** - Degrees of freedom = (number of categories - 1).e. **Calculate Test Statistic:**- Use the chi-square formula to calculate the test-statistic (rounded to three decimal places).f. **Determine P-value:**- Find the p-value for the calculated chi-square test statistic (rounded to four decimal places).g. **Interpreting P-value:**- Compare the p-value to the significance level (0.05) to decide whether to reject or fail to reject the null hypothesis.h. **Conclusion:**- If the p-value is lower than 0.05, there is sufficient evidence to conclude a difference in distribution. Otherwise, there is insufficient evidence. Select the correct conclusion based on the data analysis.This analysis will help determine if the local customers' preferences align with larger trends or suggest unique regional tastes.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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