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.

a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.

In this example, d 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?

H0 : d = 0 words

H1 : d < 0 words

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

t =

p =

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)?

Male	Female
26126	20336
17168	26004
7188	4986
27040	20686
26845	13939
8612	17390
22477	11127
17071	19049
26429	15329
22602	18168
13356	15651
11068	12437
12561	16711
22759	21561
20871	6558
309	19190
20613	22516
8939	16669
20104	14916
15595	14774
16740	28385
22544	10093
7716	17333
5839	7108
26936	11123
9764	19962
13822	14538
13305	22332
13783	19954
19993	13722
14434	35772
10414	8101
19051	9952
15439	10837
8652	30873
14137	19331
16317	15184
10247	18157
20489	18421
11476	16376
15575	17578
7403	12679
18361	18588
12787	17934
15088	27021
16945	36304
20845	27258
38590	34393
18225	24997
46282	33457
27287	17695
10072	5581
16664	26670
10258	14688
6011	15524
21954	28091