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# A simple random sample of size n is drawn from a population that is normally distributed the sample mean is

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Since he became the president, did President Trump act with the transparency and the integrity that you expect from a president?” 675 voters responded the poll and 351 responded “YES.” Assume that 40% of the U.S. population supports Trump. a. Define a binary random variable, Y, for supporting Trump (Y=1) vs. not (Y=0). Calculate the population mean (????????) and variance (???????? 2 ) for supporting Trump. b. Calculate the sample mean ????̅ and the sample standard deviation of ????̅ (????????̅ ) for the poll. c. Calculate the standard error of ????̅ and construct a 95% confidence interval from the poll using ????̅ and its sample standard error. d. Conduct a two-sided hypothesis test at 5% significance level to determine whether 40% of the U.S. population supports Trump. State the null and the alternative hypotheses, calculate the test statistics and the associated p-value, and conclude. Is the Fox News survey reliable? Why? Why Not? e. Suppose that you wanted to design a survey that had a margin of error of at most 1%. That is: the difference between the upper bound and the lower bound of the confidence interval should be a maximum of 2 percentage points. For example, for ????̅ = 0.52 you are aiming for the 95 % CI to be [0.51 0.53]. How large should n be if the survey uses simple random sampling?
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ple mean is found to be x bar =61 and the sample standard deviation is found to be s = 16. construct a 90% confidence interval about the pop mean. what is the upper and lower bounds?
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inions about an upcoming building​ project, the college president wishes to obtain a simple random sample of 8 students. He numbers the students from 1 to 7663 . Complete parts​ (a) and​ (b) below. LOADING... Click the icon to view the random number table. ​(a) Using the provided random number​ table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row​ 2, column 4. Using this position as the starting point and proceeding​ downward, determine the numbers for the 8 students who will be included in the sample.
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rd deviation of \$17,093. We are interested in the true average college tuition in the U.S. a. What parameter are we estimating? b. What is the point estimate of that parameter? c. Build the margin of error for 95% confidence interval for the true average college tuition in the U.S. (Show work for credit) d. Using your answer in part c, build a 95% confidence interval for the true average college tuition in the U.S. e. Interpret your interval in part d. .
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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