Explain pls

1- Which of the following would be an appropriate null hypothesis?

a) The mean of a population is equal to 55.

b) The mean of a sample is equal to 55.

c) The mean of a population is greater than 55.

d) Only (a) and (c) are appropriate.

2- Which of the following would be an appropriate null hypothesis?

a) The population proportion is less than 0.65.

b) The sample proportion is less than 0.65.

c) The population proportion is not less than 0.65.

d) The sample proportion is no less than 0.65.

3- Which of the following would be an appropriate alternative hypothesis?

a) The mean of a population is equal to 55.

b) The mean of a sample is equal to 55.

c) The mean of a population is greater than 55.

d) The mean of a sample is greater than 55.

4- A Type II error is committed when

a) you reject a null hypothesis that is true.

b) you don't reject a null hypothesis that is true.

c) you reject a null hypothesis that is false.

d) you don't reject a null hypothesis that is false.

5- 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 reach?

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.