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 USE SALT (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 a = 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.) P-value = State your conclusion. O Fail to reject Ho. We do not have convincing evidence that a majority women aged 22 to 35 who work full time would be willing to give up some personal time for more money. O Reject Ha. 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. O Reject Ha. 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. O Fail to reject Ha. 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) Would it be reasonable to generalize the conclusion from part (a) to all working women? Explain why or why not. O No, the sample size was too small. O Yes, the sample size was large enough. O Yes, the survey included all working adults aged 22 to 35. O No, the survey only included women aged 22 to 35. O Yes, the survey included all women.

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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.
In USE SALT
(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 a = 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 =
State your conclusion.
O Fail to reject H,. 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.
O Reject H. 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.
O Reject Ho. 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.
O Fail to reject H.. 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) Would it be reasonable to generalize the conclusion from part (a) to all working women? Explain why or why not.
O No, the sample size was too small.
O Yes, the sample size was large enough.
O Yes, the survey included all working adults aged 22 to 35.
O No, the survey only included women aged 22 to 35.
O Yes, the survey included all women.
Transcribed Image Text: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. In USE SALT (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 a = 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 = State your conclusion. O Fail to reject H,. 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. O Reject H. 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. O Reject Ho. 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. O Fail to reject H.. 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) Would it be reasonable to generalize the conclusion from part (a) to all working women? Explain why or why not. O No, the sample size was too small. O Yes, the sample size was large enough. O Yes, the survey included all working adults aged 22 to 35. O No, the survey only included women aged 22 to 35. O Yes, the survey included all women.
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