Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,862 26,851 1415 7978 18,466 14,896 14,097 25, 101 O Female 23,798 13,014 18,883 17,507 12,502 17,407 15,729 18,759 50 (Round to two decimal places as needed.) Identify the P-value. P-value = .626 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not 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)
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,862 26,851 1415 7978 18,466 14,896 14,097 25, 101 O Female 23,798 13,014 18,883 17,507 12,502 17,407 15,729 18,759 50 (Round to two decimal places as needed.) Identify the P-value. P-value = .626 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not 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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 13E
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Check my work and finish the last two problems
Transcribed Image Text:Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
18,466 14,896 14,097 25,101
Female 23,798 13,014 18,883 17,507 12,502 17,407 15,729 18,759
Male
15,862 26,851
1415
7978
t= -.50 (Round to two decimal places as needed.)
Identify the P-value.
P-value = .626 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
greater than
the significance level, fail to reject the null hypothesis. There is not 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 the nearest integer 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:Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
Male
15,862 26,851
1415
7978
18,466 14,896 14,097 25,101 D
Female 23,798 13,014 18,883 17,507 12,502 17,407 15,729 18,759
a. 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, 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 =0 word(s)
%3D
H4: Ha 0 word(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -.50 (Round to two decimal places as needed.)
Identify the P-value.
P-value =.626 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that males
greater than
COOak fo r rds in a day than fomaloe
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