A report just came out that stated that 22.9% of all Americanssay that vanilla is their favorite ice cream, 23.4% say thatchocolate is their favorite, 8% favor butter pecan, 8.7% favorstrawberry, and the rest have other favorites. An ice cream shopowner thinks that her customers are not like the rest of America.The table below shows the results of 1000 of her patrons' ice creamselections. What can be concluded at the αα = 0.05 significancelevel?
Complete the table by filling in the expected frequencies. Roundyour answers to the nearest whole number.
Frequencies of Favorite Ice Cream
OutcomeFrequencyExpected Frequency
Vanilla243
Chocolate220
Butter Pecan85
Strawberry67
Other385
What is the correct statistical test to use?
Select an answer Paired t-test Homogeneity IndependenceGoodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
The distribution of favorite ice cream for customers at her shopis not the same as it is for Americans in general.
Favorite ice cream and where the ice cream is purchased areindependent.
Favorite ice cream and where the ice cream is purchased aredependent.
The distribution of favorite ice cream for customers at her shopis the same as it is for Americans in general.
H1:H1:
The distribution of favorite ice cream for customers at her shopis not the same as it is for Americans in general.
The distribution of favorite ice cream for customers at her shopis the same as it is for Americans in general.
Favorite ice cream and where the ice cream is purchased aredependent.
Favorite ice cream and where the ice cream is purchased areindependent.
The degrees of freedom =
The test-statistic for this data =Â Â (Please show youranswer to three decimal places.)
The p-value for this sample = (Please show your answer to fourdecimal places.)
The p-value is Select an answer greater than less than (or equalto)  αα
Based on this, we should Select an answer reject the null acceptthe null fail to reject the null
Thus, the final conclusion is...
There is insufficient evidence to conclude that the distributionof favorite ice cream for customers at her shop is not the same asit is for Americans in general.
There is sufficient evidence to conclude that the distributionof favorite ice cream for customers at her shop is the same as itis for Americans in general.
There is sufficient evidence to conclude that favorite ice creamand where the ice cream is purchased are dependent.
There is insufficient evidence to conclude that favorite icecream and where the ice cream is purchased are dependent.
There is sufficient evidence to conclude that the distributionof favorite ice cream for customers at her shop is not the same asit is for Americans in general.
