Question

The following data set shows the ages of the Best Actress and Best Actor award at a given awards show for various years:

Actress Age	Actor Age
38	38
33	52
39	53
32	52
32	67
39	55
24	54
25	66
25	55
22	31
36	64
24	49
39	39
25	45
28	57

Using a Sign Test, test the claim that there is no median difference between the ages of Best Actress and Best Actor award winners.

Find the null and alternative hypothesis.

H0:

Select an answer The median of the differences is NOT zero. The median age of actresses is more than the median age of actors. The median of the differences is zero. The median age of actresses is less than the median age of actors.

H1:

Select an answer The median of the differences is zero. The median age of actresses is less than the median age of actors. The median age of actresses is more than the median age of actors. The median of the differences is NOT zero.

If we consider + to represent when the female was older than the male, then how many of each sign is there?

Positive Signs:

Negative Signs:

Total Signs:

What is the p-value?  (Round to three decimal places.)

At a 0.025 significance, what is the conclusion about the null?

Select an answer Reject the null hypothesis. Fail to reject the null hypothesis. Support the null hypothesis. Fail to support the null hypothesis.

What is the conclusion about the claim?

Select an answer Reject the claim that there is no difference in median age. Fail to reject the claim that there is no difference in median age There is insufficient evidence to support the claim that there is no difference in median age. Support the claim that there is no difference in median age.

Answer 1