4. (10%) A poll of President election was held. A random sample of 600 citizens were surveyed and there were 240 citizens would vote for candidate H. Find a 95% confidence interval for the percentage of ballots (turnout rate) of candidate H.

Part II The significance level for hypothesis testing is 0.05, unless otherwise specified.(50%)1. (10%) A study was instituted to learn how the diets of women changed during the winter and the summer. A random group of 12 women were observed during the month of July, and the percentage of each woman's calories that came from fat was determined. Similar observations were made on a different randomly selected group of size 12 during the month of January. Suppose the results were as follows:July: mean =30.83, standard deviation=4.30January: mean =35.13, standard deviation=4.51If we assume the population standard deviations for all months are equal, conduct a test for testing the hypothesis if the mean fat intake is the same for both months.

4. (10%) A poll of President election was held. A random sample of 600 citizens were surveyed and there were 240 citizens would vote for candidate H. Find a 95% confidence interval for the percentage of ballots (turnout rate) of candidate H.

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