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
33	56
32	31
32	48
37	39
24	38
27	40
28	45
34	37
31	37
37	63
28	30
22	57
38	56

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:

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.

H1:

The median age of actresses is less than the median age of actors.

The median of the differences is zero.

The median of the differences is NOT zero.

The median age of actresses is more than the median age of actors.

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 0.1 significance, what is the conclusion about the null?

Support the null hypothesis.

Fail to reject the null hypothesis.

Reject the null hypothesis.

Fail to support the null hypothesis.

What is the conclusion about the claim?

Support the claim that there is no difference in median age.

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.