Arandom sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last mon The accompanying table shows the data. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are t same could not be rejected using two-tailed test at a significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain. O A. The 95% interval would not capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. O B. The 95% interval would capture 0, because there does not appear to be a difference between the mean amounts spent on clothing from looking at the data. O C. The 95% interval would capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. O D. The 95% interval would not capture 0, because there appears to be a difference between the mean amounts spent on clothing from looking at the data. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. O A. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval

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A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month.
The accompanying table shows the data. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the
same could not be rejected using two-tailed test at a significance level of 0.05. Complete parts a through c below.
Click the icon to view the data table.
a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain.
O A. The 95% interval would not capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the
hypothesis test.
O B. The 95% interval would capture 0, because there does not appear to be a difference between the mean amounts spent on clothing from looking at the data.
O C. The 95% interval would capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis
test.
O D. The 95% interval would not capture 0, because there appears to be a difference between the mean amounts spent on clothing from looking at the data.
b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain.
O A. Yes, because a 99% interval is
would not capture 0.
than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval
O B. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval
would capture 0.
O C. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval
would capture 0.
O D. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval
would not capture 0.
Click to select your answer(s).
P Pearson
Copyright 2021 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions | Contact
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Transcribed Image Text:This QuestiIon. 1 pt Question Help A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Suppose the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the same could not be rejected using two-tailed test at a significance level of 0.05. Complete parts a through c below. Click the icon to view the data table. a. If a 95% confidence interval for the difference between means is found, would it capture 0? Explain. O A. The 95% interval would not capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. O B. The 95% interval would capture 0, because there does not appear to be a difference between the mean amounts spent on clothing from looking at the data. O C. The 95% interval would capture 0, because the hypothesis that the mean amounts spent on clothing are the same could not be rejected by the hypothesis test. O D. The 95% interval would not capture 0, because there appears to be a difference between the mean amounts spent on clothing from looking at the data. b. If a 99% confidence interval for the difference between means is found, would it capture 0? Explain. O A. Yes, because a 99% interval is would not capture 0. than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval O B. Yes, because a 99% interval is wider than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. O C. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would capture 0. O D. No, because a 99% interval is narrower than a 95% interval and centered at the same value, and based on the results of the hypothesis test, a 95% interval would not capture 0. Click to select your answer(s). P Pearson Copyright 2021 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions | Contact 立
stion H
Data Table
%3D
nen and a randor
data. Suppose t
vo-tailed test at a
ng in th
for clo
table.
Full Data Set O
Sex
Sclothes
Sex
Sclothes
190
f
140
he difference betv
f
170
210
80
20
capture 0, becau
f
85
195
by the
f
170
m
140
f
180
20
pture 0, because t
oking at
f
190
180
pture 0, because t
80
200
the hypo
160
m
30
it capture 0, becau
f
110
150
at the d.
30
190
the difference betv
190
190
180
80
60
110
a 95% int
m
val is wider than a
f
90
f
40
70
f
150
a 95% inte
val is wider than a
60
st, a 95%
val is narrower than
Print
Done
st, a 95% in
val is narrower than
EEEE-EEE
Transcribed Image Text:stion H Data Table %3D nen and a randor data. Suppose t vo-tailed test at a ng in th for clo table. Full Data Set O Sex Sclothes Sex Sclothes 190 f 140 he difference betv f 170 210 80 20 capture 0, becau f 85 195 by the f 170 m 140 f 180 20 pture 0, because t oking at f 190 180 pture 0, because t 80 200 the hypo 160 m 30 it capture 0, becau f 110 150 at the d. 30 190 the difference betv 190 190 180 80 60 110 a 95% int m val is wider than a f 90 f 40 70 f 150 a 95% inte val is wider than a 60 st, a 95% val is narrower than Print Done st, a 95% in val is narrower than EEEE-EEE
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