Project 4STAT 217 DUE: Monday, April 2All of the questions here refer to the data given in the in class work #7 on proportions, and available athttp://www.math.montana.edu/~parker/courses/STAT217/inclass8_prop.xls . For these questions, SHOWALL WORK. No work, no credit.1. Consider whether there is a smaller proportion of women than men who support recognizing theheritage of Montanan’s opportunity to harvest game and fish.- State the hypotheses being tested.- Give the test statistic- Give the p-value- Make a decision at a significance level of .05- State a conclusion in terms of the problem.- Give a 95% confidence interval for the difference in proportions of women and men in favor of the hunting and fishing amendment.2. Use MINITAB to confirm the work that you did above, and attach MINITAB’s output to this assignment.From the data at http://www.math.montana.edu/~parker/courses/STAT217/inclass8_prop.xls copy the columns ‘gender’ and ‘hunt’ into the Worksheet in MINITAB. To do the hypothesis test, click on Stat>Basic Statistics>2 Proportions. Select ‘Samples in One Column:’ and in the ‘Samples’ box enter ‘hunt’. In the ‘Subscript’ box, enter ‘gender’. Hit the ‘Options’ button, specify the correct alternative and check ‘Use pooled estimate of p for test’. Now click OK. To do the confidence interval, click on Stat>Basic Statistics>2 Proportions. Select ‘Samples in One Column:’ and in the ‘Samples’ box enter ‘hunt’. In the ‘Subscript’ box, enter ‘gender’. Hit the ‘Options’ button, specify the ‘not equal to’ alternative and uncheck ‘Use pooled estimate of p for test’. Now click OK.3. There are many hypotheses that one could test regarding two proportions given the data in class. See for example, question 1 above; and in the in-class work, we tested whether a higher proportion ofthose born in Montana supported cyanide leach mining compared to those born somewhere else. - Choose three different sets of hypotheses that you might like to test using two proportions from this data set (other than the three I just listed above). - Why do you think that you might find evidence in support of each of these hypotheses? 4. (a) Find a 95% confidence interval for the proportion of Montanans who support cyanide leach mining.(b) Is there evidence to suggest that a majority of Montanans support cyanide leach mining? Why orwhy not?5. We wish to collect another simple random sample so that we can construct a 95% confidence interval forthe true proportion of all Montanans who support term limits for legislators, and we want this confidence interval to have a margin of error of .03. Use an estimate of p from the data to determine how large this simple random sample ought to
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