Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Male 15,573 25,391 1406 7584 19,264 15,347 13,664 24,947 O Female 25,319 13,558 18,117 17,596 12,608 17,614 16,838 18,296 Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, Hg 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?

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Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples.
Male
15,573
25,391
1406
7584
19,264 15,347 13,664
24,947
Female 25,319
13,558 18,117 17,596 12,608 17,614 16,838
18,296
Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females.
In this example, µa 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: 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.)
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.
Enter your answer in each of the answer boxes.
?
Transcribed Image Text:Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Male 15,573 25,391 1406 7584 19,264 15,347 13,664 24,947 Female 25,319 13,558 18,117 17,596 12,608 17,614 16,838 18,296 Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, µa 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: 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.) 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. Enter your answer in each of the answer boxes. ?
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