Homework Help is Here – Start Your Trial Now!
Math
Statistics
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: 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. The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general.

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: 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. The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Need help with part  F 

### Research Hypothesis Testing: Ice Cream Preference **Hypothesis (H1):** - The hypothesis choices are as follows: - 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. **Statistical Analysis Steps:** **d. Degrees of Freedom:** - Input required: A numerical value that indicates the number of degrees of freedom for the data. **e. Test Statistic:** - Input required: Calculate the test statistic for the data and enter the value to three decimal places. **f. P-value:** - Input required: Compute the p-value for the sample and enter the value to four decimal places. **g. P-value Comparison:** - Decision point to compare the p-value to the significance level (α). **h. Decision:** - Based on the comparison, determine if the null hypothesis should be rejected or not. **i. Conclusion:** - Choose the final conclusion based on the statistical test: - Sufficient evidence that the distribution of favorite ice cream is not the same as for Americans in general. - Sufficient evidence that favorite ice cream and purchase location are dependent. - Insufficient evidence that favorite ice cream and purchase location are dependent. - Sufficient evidence that the distribution of favorite ice cream is the same as for Americans in general. - Insufficient evidence that the distribution of favorite ice cream is not the same as for Americans in general. This exercise involves completing the statistical analysis process by entering the appropriate values and making a conclusion based on evidence from the hypothesis test.
Transcribed Image Text:### Research Hypothesis Testing: Ice Cream Preference **Hypothesis (H1):** - The hypothesis choices are as follows: - 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. **Statistical Analysis Steps:** **d. Degrees of Freedom:** - Input required: A numerical value that indicates the number of degrees of freedom for the data. **e. Test Statistic:** - Input required: Calculate the test statistic for the data and enter the value to three decimal places. **f. P-value:** - Input required: Compute the p-value for the sample and enter the value to four decimal places. **g. P-value Comparison:** - Decision point to compare the p-value to the significance level (α). **h. Decision:** - Based on the comparison, determine if the null hypothesis should be rejected or not. **i. Conclusion:** - Choose the final conclusion based on the statistical test: - Sufficient evidence that the distribution of favorite ice cream is not the same as for Americans in general. - Sufficient evidence that favorite ice cream and purchase location are dependent. - Insufficient evidence that favorite ice cream and purchase location are dependent. - Sufficient evidence that the distribution of favorite ice cream is the same as for Americans in general. - Insufficient evidence that the distribution of favorite ice cream is not the same as for Americans in general. This exercise involves completing the statistical analysis process by entering the appropriate values and making a conclusion based on evidence from the hypothesis test.
## Ice Cream Preferences Statistical Analysis A recent report indicates that 21.9% of all Americans prefer vanilla ice cream, 23.8% prefer chocolate, 9.6% favor butter pecan, 9.1% choose strawberry, and the remainder have other favorites. An ice cream shop owner suspects her patrons' preferences differ from the national average. The table below illustrates the results from 775 of her customers. We'll analyze this data at a 0.01 significance level. ### Table of Frequencies of Favorite Ice Cream | Outcome | Frequency | Expected Frequency | |--------------|-----------|--------------------| | Vanilla | 156 | | | Chocolate | 184 | | | Butter Pecan | 68 | | | Strawberry | 72 | | | Other | 295 | | 1. **Complete the Table**: Calculate the expected frequencies based on national preferences and fill in the corresponding fields. Round these values to the nearest whole number. 2. **Select Statistical Test**: Determine the correct statistical test to evaluate the hypothesis. - Options include: - Chi-square test of independence - Chi-square goodness of fit 3. **Hypotheses Definition**: - **Null Hypothesis (H₀)**: - The distribution of favorite ice cream flavors for customers at her shop is the same as the national distribution. - **Alternative Hypothesis (H₁)**: - The distribution of favorite ice cream flavors for customers at her shop is not the same as the national distribution. By completing this analysis, we can conclude whether there's a significant difference between the shop's customer preferences and those of the general American population.
Transcribed Image Text:## Ice Cream Preferences Statistical Analysis A recent report indicates that 21.9% of all Americans prefer vanilla ice cream, 23.8% prefer chocolate, 9.6% favor butter pecan, 9.1% choose strawberry, and the remainder have other favorites. An ice cream shop owner suspects her patrons' preferences differ from the national average. The table below illustrates the results from 775 of her customers. We'll analyze this data at a 0.01 significance level. ### Table of Frequencies of Favorite Ice Cream | Outcome | Frequency | Expected Frequency | |--------------|-----------|--------------------| | Vanilla | 156 | | | Chocolate | 184 | | | Butter Pecan | 68 | | | Strawberry | 72 | | | Other | 295 | | 1. **Complete the Table**: Calculate the expected frequencies based on national preferences and fill in the corresponding fields. Round these values to the nearest whole number. 2. **Select Statistical Test**: Determine the correct statistical test to evaluate the hypothesis. - Options include: - Chi-square test of independence - Chi-square goodness of fit 3. **Hypotheses Definition**: - **Null Hypothesis (H₀)**: - The distribution of favorite ice cream flavors for customers at her shop is the same as the national distribution. - **Alternative Hypothesis (H₁)**: - The distribution of favorite ice cream flavors for customers at her shop is not the same as the national distribution. By completing this analysis, we can conclude whether there's a significant difference between the shop's customer preferences and those of the general American population.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Part F was marked as incorrect.

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS