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.

This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Stone Tool Construction Material Material Site B Row Total Basalt 768 547 1315 Obsidian 101 94 195 Pedernal chert Other Column Total 536 499 1035 179 1496 1228 2724 (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Stone tool material and site are independent. H: Stone tool material and site are not independent. O Ho: Stone tool material and site are not independent. H: Stone tool material and site are independent. O Ho: Stone tool material and site are independent. H: Stone tool material and…

The General Social Survey (GSS) collects data on demographics, eduction and work, among many other characteristics of US residents. Suppose we want to estimate the difference between the average number of hours worked by all Americans with a college degree and those without a college degree. Is there sufficient evidence that there is a significant difference between the average number of hours worked by those Americans with a college degree vs. those Americans without a college degree? Use the following output: Welch Two Sample t-testdata:  yes and not = 3.1181, df = 1098.5, p-value = 0.001867alternative hypothesis: true difference in means is not equal to 095 percent confidence interval: 1.011652 4.445822sample estimates:mean of x mean of y  42.81574  40.08701 Using the provided output, find the 95% confidence interval for the difference of the average amount of hours worked for those that have a college degree vs. those that do not have a college degree (ie: for the difference of two…

Although an increasing share of Americans are reading e-books on tablets and smartphones rather than dedicated e-readers, print books continue to be much more popular than books in digital format (digital format includes both e-books and audio books). A Pew Research Center survey of 1502 adults nationwide conducted January 8-February 7, 2019, found that 1081 of those surveyed had read a book in either print or digital format in the preceding 12 months. (You may regard the 1081 adults in the survey who had read a book in the preceding 12 months as a random sample of readers.) Andrew Perrin, "One-in-five Americans now listen to audiobooks," September 25, 2019 at www.pewresearch.org/fact-tank/2019/09/25/one-in-five-americans- now-listen-to-audiobooks/. The sampling scheme was more complex than an SRS, so the computation of the number in the sample who have read in the preceding 12 months and acting as if it were an SRS is oversimplified Macmillan Learning STATE: What can you say with 95%…