A report just came out that stated that 24.2%  of all Americans say that vanilla is their favorite ice cream,  23.8% say that chocolate is their favorite, 8.6% favor butter pecan, 9.2% 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 910 of her patrons' ice cream selections. What can be concluded at the αα = 0.01 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 234 220 Chocolate 224 217 Butter Pecan 67 78 Strawberry 65 84 Other 320 311 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.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A report just came out that stated that 24.2%  of all Americans say that vanilla is their favorite ice cream,  23.8% say that chocolate is their favorite, 8.6% favor butter pecan, 9.2% 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 910 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 234

    220

    Chocolate 224 217
    Butter Pecan 67 78
    Strawberry 65 84
    Other 320 311
  2. The degrees of freedom = 
  3. The test-statistic for this data =  (Please show your answer to three decimal places.)
  4. The p-value for this sample = (Please show your answer to four decimal places.) 

  5. The p-value is     αα 

  6. Based on this, we should     
  7. Thus, the final conclusion is...
    • 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 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 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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