1) Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table.

Season	Spring	Summer	Fall	Winter	Total
# of apples purchased	1158	1158	1158	1160	4634

 (a) In performing this statistical test, state the hypotheses. 

 

(b) What is the expected number of apples purchased for each season? Fill out the table. (Round your answers to 2 decimal places, if needed.)

Spring	Summer	Fall	Winter

(c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS =

(d) The test statistic follows a____

(e) Using the statistical table, the p-value is____

f) Based on the p-value, do we reject the null hypothesis or not reject?

What is the appropriate conclusion?

a)There is insufficient evidence to conclude the distribution of apples purchased is not the same for each season.

b)There is insufficient evidence to conclude the total number of customers for each season are not all the same.

c)There is sufficient evidence to conclude the distribution of customers apples purchased is the same for each season.

d)There is sufficient evidence to conclude the total number of customers for each season are not all the same.

e)There is sufficient evidence to conclude the distribution of apples purchased is not the same for each season.