The accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples. Complete parts​ (a) and​ (b) below. The chart to view the data on words...

The accompanying table lists the numbers of words spoken in a day by each member of

The chart to view the data on words spoken in a day by the couples is below

a. Use a
0.05significance level to test the claim that among​ couples, males speak fewer words in a day than females. In this​ example,
μd
is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis​ test?

​(Type integers or decimals. Do not​ round.)

Identify the test statistic.

​(Round to two decimal places as​ needed.)

Identify the​ P-value.

​(Round to three decimal places as​ needed.)

What is the conclusion based on the hypothesis​ test?

Since the​ P-value is
the significance​ level,

the null hypothesis. There

b. Construct the confidence interval that could be used for the hypothesis test described in part​ (a). What feature of the confidence interval leads to the same conclusion reached in part​ (a)?

The confidence interval is

​(Round to one decimal place as​ needed.)