1. In a recent survey of 982 randomly selected likely voters in Indiana, 504 said they oppose a proposal to tax internet sales. Based on this sample, can we say at the 5% alpha level that at least 50% of the voters in Indiana oppose the tax? Answer this question by using the normal approximation to the binomial to conduct the appropriate 1-sided test (that is, write the hypotheses and find the test statistic) by hand. (Remember, by-hand work does not need to be put in your paper.) Then confirm your results using Minitab. INCLUDE STEPS FOR HOW TO GET THIS IN MINITAB. 2. Open the Navajo Women dataset. In this dataset, Body Mass Index (BMI) and a number of other variables are recorded for 768 randomly selected Navajo Indian women. a. Using Minitab, test at the 2% level whether the average BMI of Navajo women is less than 33. (Hint: 1-sample t) State your conclusion in terms of the data. INCLUDE STEPS FOR HOW TO GET THIS IN MINITAB. b. Considering the other variables recorded, do you think your result above gives much of a useful insight into this data? Briefly explain your answer. 3. In a random sample of 36 international mutual funds, the average YTD return for 2018 is 2.68% with a standard deviation of 11.84%. Conduct by hand an appropriate hypothesis test at the 10% level to test whether the average YTD return for an international mutual fund is positive. (Again, that means to write the hypotheses, compute the test statistic, and estimate the p-value.) Give your test conclusion in terms of the question being asked. Confirm your test statistic and result with Minitab. Also, interpret the associated confidence bound for this test.INCLUDE STEPS FOR HOW TO GET THIS IN MINITAB