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. Click the icon to view the data on words spoken in a day by the couples. a. Uso a 0.05 significance lovel to test the claim that among couples, males speak fowor words in a day than fomales. In this example, ug 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? Ho: Ha -O word(s) Hy: Ha
Male Female
27,329 22,498
14,596 24,589
3,890 5,068
27,315 16,725
25,067 10,380
8,480 16,572
19,490 10,755
16,334 19,122
28,183 11,827
21,356 18,612
12,674 15,732
10,066 11,423
11,288 17,792
20,679 24,767
19,722 6,359
369 19,571
18,284 21,812
11,653 19,686
18,981 18,294
15,412 13,485
15,839 31,243
20,391 9,431
6,069 16,121
6,072 4,226
24,527 12,664
9,492 20,225
11,618 14,598
13,916 22,046
13,081 20,085
17,460 11,139
13,491 35,709
7,630 8,541
21,263 9,822
16,455 12,385
11,590 28,055
15,409 19,228
16,827 16,217
10,596 17,726
18,005 20,006
12,428 16,583
13,727 19,857
4,706 14,499
17,168 17,974
12,641 17,220
15,661 28,756
16,855 38,407
18,490 25,785
37,993 33,383
19,196 25,064
47,688 30,262
25,062 18,143
10,357 7,595
15,653 23,896
9,962 16,442
5,377 16,536
19,537 26,129
![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.
| Click the icon to view the data on words spoken in a day by the couples.
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, pg 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?
Họ: Ha- O word(s)
H;: H < O word(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= (Round to two decimal places as needed.)
Identify the P-value.
P-value =D (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
the significance level,
support the claim that males speak fewer words in a day than females.
| the null hypothesis. There
sufficient evidence to
Since the P-value is
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 condusion reached in part (a)?
The confidence interval isO word(s) <Hg <Oword(s).
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains
the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eb61cca-0703-4b10-8fae-b450466856ff%2Fe869edb7-7ec6-4fac-97ce-d5e0c4bfd522%2Fjyvb948_processed.png&w=3840&q=75)
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