In a survey of 1,000 women age 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 to be representative of women in the targeted age group. (a) Do the sample data provide convincing evidence that a majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using a = 0.01. State the appropriate null and alternative hypotheses. O Ho: P = 0.5 versus H,: p > 0.5 Ho: p = 0.5 versus H: p < 0.5 O Ho: p < 0.5 versus H,: p > 0.5 O Ho: p = 0.5 versus H,: p = 0.5 O Ho: P = 0.5 versus H: p = 0.5 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State your conclusion. Reject Ho. We have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. Fail to reject H,. We do not have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. Reject H,. We do not have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. Fail to reject H. We have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. (b) Would it be reasonable to generalize the conclusion from part (a) to all working women? Explain why or why not. Yes, the survey included all working adults age 22 to 35. Yes, the sample size was large enough. Yes, the survey included all women. O No, the sample size was too small. No, the survey only included women age 22 to 35.
In a survey of 1,000 women age 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 to be representative of women in the targeted age group. (a) Do the sample data provide convincing evidence that a majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using a = 0.01. State the appropriate null and alternative hypotheses. O Ho: P = 0.5 versus H,: p > 0.5 Ho: p = 0.5 versus H: p < 0.5 O Ho: p < 0.5 versus H,: p > 0.5 O Ho: p = 0.5 versus H,: p = 0.5 O Ho: P = 0.5 versus H: p = 0.5 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State your conclusion. Reject Ho. We have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. Fail to reject H,. We do not have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. Reject H,. We do not have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. Fail to reject H. We have convincing evidence that a majority of women age 22 to 35 who work full time would be willing to give up some personal time for more money. (b) Would it be reasonable to generalize the conclusion from part (a) to all working women? Explain why or why not. Yes, the survey included all working adults age 22 to 35. Yes, the sample size was large enough. Yes, the survey included all women. O No, the sample size was too small. No, the survey only included women age 22 to 35.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a survey of 1,000 women age 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 to be representative of women in the targeted age
group.
(a) Do the sample data provide convincing evidence that a majority of women age 22 to 35 who work full-time would be
willing to give up some personal time for more money? Test the relevant hypotheses using a = 0.01.
State the appropriate null and alternative hypotheses.
O Ho: p = 0.5 versus H: p > 0.5
O Ho: p = 0.5 versus H: p < 0.5
O Ho: P < 0.5 versus H: p > 0.5
Ho: P + 0.5 versus H: p = 0.5
Ho: P = 0.5 versus H
: p = 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your
P-value to four decimal places.)
z =
P-value =
State your conclusion.
O Reject H,. We have convincing evidence that a majority of wome
age 22 to 35 who work full time would be
willing to give up some personal time for more money.
Fail to reject H,. We do not have convincing evidence that a majority of women age 22 to 35 who work full time
would be willing to give up some personal time for more money.
Reject H,. We do not have convincing evidence that a majority of women age 22 to 35 who work full time would
be willing to give up some personal time for more money.
Fail to reject H,. We have convincing evidence that a majority of women age 22 to 35 who work full time would
be willing to give up some personal time for more money.
(b) Would it be reasonable to generalize the conclusion from part (a) to all working women? Explain why or why not.
O Yes, the survey included all working adults age 22 to 35.
Yes, the sample size was large enough.
O Yes, the survey included all women.
No, the sample size was too small.
O No, the survey only included women age 22 to 35.
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