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 15,919 26,768 1447 7766 18,809 15,044 13,710 26,576 Female 24,862 13,288 18,663 17,711 12,702 17,351 16,162 18,175 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, μd 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? H0: μd ▼ not equals≠ greater than> less than< equals= _____ word(s) H1: μd ▼ less than< equals= greater than> not equals≠ _____ 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 ▼ greater than less than or equal to the significance level, ▼ reject fail to reject the null hypothesis. There ▼ is 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)<μd< _____ 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 ▼ zero, only negative numbers, only positive numbers, ▼ reject fail to reject the null hypothesis.
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 15,919 26,768 1447 7766 18,809 15,044 13,710 26,576 Female 24,862 13,288 18,663 17,711 12,702 17,351 16,162 18,175 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, μd 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? H0: μd ▼ not equals≠ greater than> less than< equals= _____ word(s) H1: μd ▼ less than< equals= greater than> not equals≠ _____ 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 ▼ greater than less than or equal to the significance level, ▼ reject fail to reject the null hypothesis. There ▼ is 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)<μd< _____ 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 ▼ zero, only negative numbers, only positive numbers, ▼ reject fail to reject the null hypothesis.
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
Related questions
Question
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
|
15,919
|
26,768
|
1447
|
7766
|
18,809
|
15,044
|
13,710
|
26,576
|
|
---|---|---|---|---|---|---|---|---|---|
Female
|
24,862
|
13,288
|
18,663
|
17,711
|
12,702
|
17,351
|
16,162
|
18,175
|
|
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, μd 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?
H0:
μd
_____ word(s)▼
not equals≠
greater than>
less than<
equals=
H1:
μd
_____ word(s)▼
less than<
equals=
greater than>
not equals≠
(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.
▼
greater than
less than or equal to
▼
reject
fail to reject
▼
is
is not
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)<μd< _____ 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.
▼
zero,
only negative numbers,
only positive numbers,
▼
reject
fail to reject
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