Question

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.  What are the null and alternative hypotheses for the hypothesis​ test?

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?

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? What feature of the confidence interval leads to the same conclusion reached in part​ (a)?

Male;Female
28,128;22,487
15,178;26,254
5,427;4,434
27,196;20,566
27,210;10,685
9,017;17,608
22,462;11,569
17,836;21,025
26,436;11,597
21,435;19,299
10,952;15,203
12,749;12,853
13,075;18,686
20,352;22,001
18,705;4,170
205;18,019
21,173;24,782
11,891;19,791
20,955;16,228
17,058;15,035
16,811;29,995
22,161;10,127
9,282;18,960
5,222;5,172
27,944;13,381
12,300;20,251
12,698;14,254
14,328;20,914
12,243;21,050
20,782;12,163
13,733;35,566
10,675;9,649
18,747;11,651
17,713;12,173
9,918;29,737
15,125;20,450
17,149;16,209
8,973;20,980
17,530;20,649
11,448;14,541
15,555;18,269
7,097;11,479
18,531;18,577
15,334;18,029
16,127;29,587
18,122;38,338
20,186;26,186
37,225;36,296
19,341;25,991
48,857;29,983
26,432;20,417
9,796;8,688
15,475;24,404
9,271;17,997
8,662;13,413
21,788;30,023

Answer 1