1. A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors was selected. Suppose you reject the null hypothesis. What conclusion can you draw?

a) There is not sufficient evidence that the proportion of doctors who recommend aspirin is not less than 0.90.

b) There is sufficient evidence that the proportion of doctors who recommend aspirin is not less than 0.90.

c) There is not sufficient evidence that the proportion of doctors who recommend aspirin is less than 0.90.

d) There is sufficient evidence that the proportion of doctors who recommend aspirin is less than 0.90.

3. A major videocassette rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. The value of the test statistic in this problem is approximately equal to:

a) 2.80

b) 2.60

c) 1.94

d) 1.30

4. A major videocassette rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. The p-value associated with the test statistic in this problem is approximately equal to:

a) 0.0100

b) 0.0051

c) 0.0026

d) 0.0013