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, Ha 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: Hd | word(s) H1: Hd 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 = (Round to three decimal places as needed.)

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Male     Female
26,801  21,392
17,251  25,038
4,624    4,479
27,801 18,270
24,555 10,663
7,767   17,110
20,536 10,779
16,516 19,984
25,601 14,056
20,948 18,519
12,153 17,703
11,382 11,308
13,138 17,007
23,568  25,142
17,874  5,616
102      17,631
20,292  24,568
9,701    16,937
22,178   15,531
16,189   12,885
17,664   30,970
22,418   6,519
5,993     18,333
5,899      6,104
24,563   10,003
11,655    17,884
11,600   12,355
14,317   20,130
11,649    21,961
17,427   13,339
14,658    35,769
10,205   10,685
20,063   9,154
15,219   11,996
11,846   30,616
14,723   20,535
17,184   16,267
8,686      17,899
17,833     20,141
13,345     14,900
14,770    19,153
5,386     11,947
19,548    16,553
13,755    18,125
15,959    30,238
16,800    38,612
18,987    24,754
39,299     33,125
17,677      25,559
47,062     32,946
27,391     20,465
11,298       5,186
15,815     25,021
11,590      14,558
6,579       15,676
19,395     28,954

What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level,
the null hypothesis. There
sufficient evidence to support the claim that males
speak fewer words in a day than females.
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 word(s) < Hd < word(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.
Transcribed Image Text:What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to support the claim that males speak fewer words in a day than females. 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 word(s) < Hd < word(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.
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.
E 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, Ha 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 V word(s)
H1: Hd
V 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 =
(Round to three decimal places as needed.)
Transcribed Image Text: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. E 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, Ha 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 V word(s) H1: Hd V 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 = (Round to three decimal places as needed.)
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