Question

11. The correct interpretation of 95% confidence is (Circle one):
a) We can be 95% confident that the interval includes the sample mean.
b) 95% of all possible population means will be included in the interval.
c) 95% of the possible sample means will be included in this interval.
d) The method used to get the interval, when used over and over, produces intervals which include the true population mean 95% of the time.

12. Suppose a two-sided (or two-tailed) alternative hypothesis has been set up, and the test statistic is found to be z = 1.1. What will the p-value be?
a) 0.8643
b) 0.2714
c) 0.1357
d) 0.0250
e) 0.0500

13. I conduct a hypothesis test and reject the null hypothesis at a significance level of .05. Based only on this information, I may conclude that
a) I would also reject the null hypothesis if the alpha level was .10 rather than .05.
b) I would also reject the null hypothesis if the alpha level was .01 rather than .05
c) both (a) and (b) are true.
d) Cannot be determined from the given information.

Answer 1

11) interpretation of confidence interval is

The method used to get the interval, when used over and over, produces intervals which include the true population mean 95% of the time.

Option D is correct

12) we have Z = 1.1 and two tailed test

P-value = 2 * P( Z > 1.1)

p-value = 0.2714

13) Decision rule : if p-value < a , we reject the null hypothesis , otherwise we fail to reject the null hypothesis

Here if we reject the null hypothesis at 0.05 level of significance then we also reject the null hypothesis at 0.10

Answer is I would also reject the null hypothesis if the alpha level was .10 rather than .05.

Option a) is correct