A report just came out that stated that 21.1%  of all Americans say that vanilla is their favorite ice cream,  20.9% say that chocolate is their favorite, 9.1% favor butter pecan, 9.5% 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 980 of her patrons' ice cream selections. What can be concluded at the αα = 0.10 significance level? 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 217   Chocolate 209   Butter Pecan 107   Strawberry 80   Other 367   What is the correct statistical test to use? Select an answer Homogeneity Goodness-of-Fit Paired t-test Independence  What are the null and alternative hypotheses? H0:H0:  Favorite ice cream and where the ice cream is purchased are dependent. 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 independent. The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. H1:H1:  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. The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.)  The p-value is Select an answer less than (or equal to) greater than  αα  Based on this, we should Select an answer fail to reject the null reject the null accept the null  Thus, the final conclusion is... 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. 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 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 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A report just came out that stated that 21.1%  of all Americans say that vanilla is their favorite ice cream,  20.9% say that chocolate is their favorite, 9.1% favor butter pecan, 9.5% 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 980 of her patrons' ice cream selections. What can be concluded at the αα = 0.10 significance level?

  1. 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 217

     

    Chocolate 209  
    Butter Pecan 107  
    Strawberry 80  
    Other 367  
  2. What is the correct statistical test to use?
    Select an answer Homogeneity Goodness-of-Fit Paired t-test Independence 
  3. What are the null and alternative hypotheses?
    H0:H0: 
    • Favorite ice cream and where the ice cream is purchased are dependent.
    • 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 independent.
    • The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general.

    H1:H1: 
    • 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.
    • The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general.
  4. The degrees of freedom =
  5. The test-statistic for this data = (Please show your answer to three decimal places.)
  6. The p-value for this sample = (Please show your answer to four decimal places.) 

  7. The p-value is Select an answer less than (or equal to) greater than  αα 

  8. Based on this, we should Select an answer fail to reject the null reject the null accept the null 
  9. Thus, the final conclusion is...
    • 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.
    • 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 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 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.

 

 

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