A report just came out that stated that 21.7%  of all Americans say that vanilla is their favorite ice cream,  20.3% say that chocolate is their favorite, 8.9% favor butter pecan, 9.6% 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 820 of her patrons' ice cream selections. What can be concluded at the αα = 0.01 significance level?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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A report just came out that stated that 21.7%  of all Americans say that vanilla is their favorite ice cream,  20.3% say that chocolate is their favorite, 8.9% favor butter pecan, 9.6% 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 820 of her patrons' ice cream selections. What can be concluded at the αα = 0.01 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 168

    Incorrect 

    Chocolate 176 Incorrect 
    Butter Pecan 45 Incorrect 
    Strawberry 93 Incorrect
    Other 338 Incorrect
  2. What is the correct statistical test to use?
    Select an answer Goodness-of-Fit Homogeneity Paired t-test Independence Correct
  3. What are the null and alternative hypotheses?
    H0:H0: 
    • 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.
    • Favorite ice cream and where the ice cream is purchased are dependent.
    Correct

    H1:H1: 
    • 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 dependent.
    • Favorite ice cream and where the ice cream is purchased are independent.
    Correct
  4. The degrees of freedom = Correct
  5. The test-statistic for this data = Incorrect (Please show your answer to three decimal places.)
  6. The p-value for this sample = Incorrect(Please show your answer to four decimal places.) 

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

  8. Based on this, we should Select an answer fail to reject the null reject the null accept the null 
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