: There are 2 questions worth 50 points each for a total of 100 points. Please show all your work, and clearly indicate your final answers. Partial credit will be given for your work. The Chi squared table is included with question 1.

1. The following table describes the opinions of 1000 students who returned the questionnaire in a survey on their opinion of campus bookstore on a scale of 1 to 5. You want to know if the opinion ratings for the bookstore follows the bookstore management's claim that the distribution of customer satisfaction follows the pattern of 10% rating 1, 10% rating 2, 25% rating 3, 25% rating 4, and 30% rating 5

Rating Number of Response

1 140

2 120

3 190

4 200

5 260

This is a goodness-of-fit, homogeneity, or independence? Explain you answer.

a. State the null and alternative hypotheses.

b. Complete the calculation of Chi Squared (you may use Excel to do the calculations).

c. In step c, explain how to get the expected number of freshman who have a high opinion of the bookstore.

d. What are the degrees of freedom?

e. Using your answers to steps c and e, use the chi Square table to find a range of values for the P-value.

f. Using a significance of 1%, make a decision to either accept, or reject the null hypothesis.