3. Suppose that I survey 500 randomly selected US voters about whether or not they think Donald Trump should have been impeached, and 276 of the500 respondents say "yes, he should have."a. Test the hypothesis that greater than 50% of US voters believe that Trump should have been impeached with an alpha of .05.b. Calculate a 95% confidence interval for the share of US voters who believe that President Trump should have been impeached.HINT: Let x=1 if a respondent thinks he should have been impeached and 0 otherwise. Then the sample mean of this variable equals the fraction ofrespondents who think he should have been impeached (276/500). The sample standard deviation is|276(1 – x)² + 224(0 – x)²499(You can check this by creating a column with 276 l's and 224 0's in Excel or another spreadsheet and then using the standard deviation function in thatprogram.)

From the given information, 500 randomly selected US voters about whether or not they think Donald…

Answered: 3. Suppose that I survey 500 randomly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance? H0:H0: Select an answer μ p1-p2 μ1-μ2 μd p Select an answer ≠ < > = (please enter a decimal) H1:H1: Select an answer μ p1-p2 μd p μ1-μ2 Select an answer ≠ > = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
1a) Manual Transmission Automobiles In 1980 more than 35% of cars purchased had a manual transmission (i.e. stick shift). By 2007 the proportion had decreased to 7.7%. A random sample of college students who owned cars revealed the following: out of 130 cars, 24 had stick shifts. Estimate the proportion of college students who drive sticks with 90% confidence. Use a graphing calculator and round the answers to at least three decimal places. b) Belief in Haunted Places A random sample of 305 college students were asked if they believed that places could be haunted, and 44 responded yes. Estimate the true proportion of college students who believe in the possibility of haunted places with97% confidence. According to Time magazine, 37% of Americans believe that places can be haunted. Round the answers to at least five decimal places. Use a graphing calculator. ___ < p < ___ c) Travel to Outer Space A CBS News/New York Times poll found that 329 out of 763 randomly selected…
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A salesman makes initial telephone contact with potential customers in an effort to assess whether a follow-up visit to their homes is likely to be worthwhile. His experience suggests that 40% of the initial contacts lead to follow-up visits. Suppose he contacts 100 people by telephone and the sample proportion of the follow-up visit is calculated. Which of the following statements is (are) correct? This is a multiple-answer question. It may have more than one correct answers. i. The sample proportion has a normal distribution with a mean of 0.40 and a standard deviation of 04x0.4 = 0.049. 100 Oil. The sample proportion has a normal distribution with a mean of 0.40 and a standard deviation of 0.6. iii. The probability that the sample proportion of the follow-up visit is more than 50% is P(p>0.5) = P(z>04-05)=P(z>-2.04) = 1-0.0207 = 0.9793. iv. The probability that the sample proportion of the follow-up visit is more than 50% is P(p>0.5)=P(2> 05 = P(Z > 2.04) = 1-0.9793= 0.0207.…
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1.A poll questioned 800 students about their views on pizza for lunch at school. The results indicated that 65% of respondents felt that pizza was a must for lunch at school and would quit school if there was no pizza at lunch. a) Determine the 90% confidence interval. b) What is the margin of error for this response at the 90% confidence level?
In a past presidential election, 36,523,493 people voted for Candidate A; 36,417,321 for Candidate B; and 163,753 for third-party candidates. a. What percentage of voters chose Candidate A? b. Would it be appropriate to find a confidence interval of voters choosing Candidate A? Why or why not? ... a. Find the percentage of voters who chose Candidate A. % (Round to one decimal place as needed.) b. Is it appropriate to find a confidence interval for the proportion of voters who chose Candidate A? O A. No, it is not appropriate to find a confidence interval because the conditions for the Central Limit Theorem are met. B. No, it is not appropriate to find a confidence interval because the proportion is a population proportion. C. No, it is not appropriate to find a confidence interval because there are three possible outcomes for each observation. D. Yes, it is appropriate to find a confidence interval because the proportion is a sample proportion and the conditions for the Central Limit…
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