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,...

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
   Chocolate	176
   Butter Pecan	45
   Strawberry	93
   Other	338

   
   


2. What is the correct statistical test to use?
   Select an answer Goodness-of-Fit Homogeneity Paired t-test Independence


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.
   
   

   
   
   
   
   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.
   
   

   
   
   
   


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 greater than less than (or equal to)  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 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 not the same as it is for Americans in general.
   
   
   • 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 favorite ice cream and where the ice cream is purchased are dependent.