In a survey of 1,000 women aged 22 to 35 who work full time, 555 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group. (a) Do the sample data provide convincing evidence that the majority of women aged 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using ? = 0.01. Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = (B ) State your conclusion. a. Fail to reject H0. We have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money. b. Fail to reject H0. We do not have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money. c. Reject H0. We do not have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money. d. Reject H0. We have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money. (c) Would it be reasonable to generalize the conclusion from part (a and b) to all working women? Explain why or why not. a. No, the survey only included women aged 22 to 35. b. Yes, the sample size was large enough. c. No, the sample size was too small. d. Yes, the survey included all working adults aged 22 to 35. e. Yes, the survey included all women.

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Description: In a survey of 1,000 women aged 22 to 35 who work full time, 555 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was represent

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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In a survey of 1,000 women aged 22 to 35 who work full time, 555 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.

(a)

Do the sample data provide convincing evidence that the majority of women aged 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using ? = 0.01.

Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z	=
P-value	=

(B )

State your conclusion.

a. Fail to reject H₀. We have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money.

b. Fail to reject H₀. We do not have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money.

c. Reject H₀. We do not have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money.

d. Reject H₀. We have convincing evidence that a majority of women aged 22 to 35 who work full time would be willing to give up some personal time for more money.

(c)

Would it be reasonable to generalize the conclusion from part (a and b) to all working women? Explain why or why not.

a. No, the survey only included women aged 22 to 35.

b. Yes, the sample size was large enough.

c. No, the sample size was too small.

d. Yes, the survey included all working adults aged 22 to 35.

e. Yes, the survey included all women.

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