Question

A publisher reports that 52% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 340 found that 60% of the readers owned a personal computer. Is there sufficient evidence at the 0.05 level to support the executive's claim?

Step 1 of 6: State the null and alternative hypotheses.

Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6: Specify if the test is one-tailed or two-tailed.

Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H0H0.

Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis.

Step 6 of 6: State the conclusion of the hypothesis test.

Answer 1

Step 1 of 6:

null Hypothesis:               Ho:		p	=	0.520
alternate Hypothesis:    Ha:		p	>	0.520

Step 2 of 6:

value of the test statistic =2.95

Step 3 of 6: one-tailed

Step 4 of 6: decision rule :reject Ho if z>1.645

Step 5 of 6: reject Ho

Step 6 of 6: there is sufficient evidence at the 0.05 level to support the executive's claim