You are conducting a study to test a claim that the mean income of regular casino visitors is significantly less than $50,000. A random sample of 106 regular casino visitors had a mean income of $47,384. Do the sample data provide convincing evidence to support the claim? Assume the population standard deviation is known to be $9,000. Conduct a hypothesis test using a 10% level of significance. Give numeric answers to at least 2 decimal places.

(a) What are the correct hypotheses? (Select the correct symbols and values.)

H0: ___ Vs   H1: ___

Based on the hypotheses, find the following:

(b) Test Statistic =

(c) Critical-value =

(d) The correct decision is to

(A)Accept the alternative hypothesis

(B) Fail to reject the null hypothesis

(C) Reject the null hypothesis

(D) Accept the null hypothesis

(e) The correct conclusion would be ________ that the mean income of regular casino visitors is significantly less than $50,000.

(A)There is enough evidence to accept H0

(B)There is not enough evidence to support the claim

(C) There is enough evidence to reject the claim

(D) There is enough evidence to support the claim

(E) There is not enough evidence to reject the claim