Problem 1: Got MilkAccording to the U.S. Department of Agriculture, 58.8% of males between 20 and 39 years old consume the minimum daily requirement of calcium. After an aggressive âGot milkâ advertising campaign, the USDA conducted a survey of 55 randomly selected males between the ages of 20 and 39 and found that 36 of them consume the recommended daily allowance of calcium.Construct a 99% confidence interval for the above data. Show your work using the formulas and verify your work using StatCrunch.At the a = 0.01, is there evidence to conclude that the percentage of males between the ages of 20 and 39 who consume the recommended daily allowance of calcium has increased? Conduct a full hypothesis test by following the steps below.State the null and alternative hypotheses.State the significance level for this problem.Check the conditions that allow you to use the test statistic, and, if appropriate, calculate the test statistic.Calculate the p-value and include the probability notation statement.State whether you reject or do not reject the null hypothesis.State your conclusion in context of the problem (i.e. interpret your results).Explain the connection between the confidence interval and the hypothesis test in this problem (discuss in relation to the decision made from your hypothesis test).Problem 2: Mercury in Freshwater FishExperts believe that 20% of all freshwater fish in the United States have such a high level of mercury that they are dangerous to eat. Suppose a fish market has 250 fish tested and 60 of them have dangerous levels of mercury. Test the hypothesis that this sample is not from a population with 20% dangerous fish. Use a = 0.10.State the null and alternative hypotheses.State the significance level for this problem.Check the conditions that allow you to use the test statistic, and, if appropriate, calculate the test statistic.Calculate the p-value and include the probability notation statement.State whether you reject or do not reject the null hypothesis.State your conclusion in context of the problem (i.e. interpret your results).Use StatCrunch to verify your test statistic and p-value.Problem 3: Explore the Confidence Interval AppletStart in StatCrunch by clicking Applets Ã Confidence Intervals Ã for a proportion. Choose any values for p (between 0.01 and 0.99), set the confidence level between 90% and 99%, and choose a sample size where n >10; n(1 – )>10. Click Compute! Then, once your first 100 intervals have been constructed, click the 1000 intervals button. You will now have 1100 total intervals. Copy and paste your graph of many confidence intervals (your graph will represent intervals 1001 to 1100). 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