According to a New York Times/CBS News poll conducted during June 24-28, 2011, 55% of the American adults polled said that owning a home is a very important part of the American Dream (The New York Times, June 30, 2011). Suppose this result was true for the population of all American adults in 2011. In a recent poll of 1770 American adults, 60% said that owning a home is a very important part of the American Dream. Perform a hypothesis test to determine whether it is reasonable to conclude that the percentage of all American adults who currently hold this opinion is higher than 55%. Use a 1% significance level, and use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Zobserved p-value Critical value = We can conclude that the percentage of all American adults who currently hold this opinion 5%. higher than

According to a New York Times/CBS News poll conducted during June 24-28, 2011, 55% of the American adults polled said that owning a home is a very important part of the American Dream (The New York Times, June 30, 2011). Suppose this result was true for the population of all American adults in 2011. In a recent poll of 1770 American adults, 60% said that owning a home is a very important part of the American Dream. Perform a hypothesis test to determine whether it is reasonable to conclude that the percentage of all American adults who currently hold this opinion is higher than 55%. Use a 1% significance level, and use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Zobserved p-value Critical value = We can conclude that the percentage of all American adults who currently hold this opinion 5%. higher than

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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February 12, 2009 marked the 20oth anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 randomly selected American adults about their education level and their beliefs about the theory of evolution. In their sample, 325 of their respondents had some college education and 228 were college graduates. Among the 325 respondents with some college education, 133 said that they believed in the theory of evolution. Among the 228 respondents who were college graduates, 121 said that they believed in the theory of evolution. Construct a 90% confidence interval for the difference between the proportions of college graduates and individuals with some college who believe in the theory of evolution. Round your sample proportions and margin of error to three decimal places. O 0.012 to 0.232 O 0.038 to 0.206 O 0.052 to 0.192 O 0.079 to 0.165 Save for Later Attempts: 0 of 1 used Submit Answer
Stem Cell Survey Adults were randomly selected for a Newsweek poll. They were asked if they “favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 481 were in favor, 401 were opposed, and 120 were unsure. A politician claims that people don’t really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 120 subjects who said that they were unsure, and use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim?
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College Board, the company that runs AP testing, wants to expand access to AP courses. Some schools require that students takethe AP exam at the end of the course while others leave the AP exam as optional. A random sample of 200 students from schoolswhere AP exams are required had 84 students currently enrolled in at least one AP course. Another random sample of 190students from schools where the AP exam is optional had 98 students currently enrolled in at least one AP course.(a) College Board want to test the claim that requiring the AP exam lowers the proportion of students who enroll in at least oneAP course. Carry out a test of this claim at the 5% level of significance. (b) Based on your decision in part (a), what error may have been made, a Type I or Type II error? Give a consequence of thaterror. (c) Interpret the p-value from part (a) in the context of this question.
Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 487 were in favor, 404 were opposed, and 118 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 118 subjects who said that they were unsure, and use a 0.05 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician's claim? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.5 H1:p>0.5 O B. Ho: R#0.5 H1:p=0.5 OC. Ho: p=0.5 H1:p<0.5 D. Ho: p=0.5 H1:p#0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is. (Round to two decimal places as needed.)
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Visitors to your website are asked to answer a single “yes or no” survey question before they get access to the content on the page. Among all of the visitors to this page, there are two categories: Random Clicker (RC) and Truthful Clicker (TC). There are two possible answers to the survey: yes and no. Random clickers would click either one with equal probability. You are also given the information that the overall fraction of random clickers is 0.3. After a trial period, you get the following survey results: 65% said Yes and 35% said No. What is your estimate for P(yes | TC), the probability that someone answers “yes” to the survey question, given that they were a truthful clicker? Hint: use the rule of total probability
Do American’s views of the war in Iraq vary by religion?A study conducted in 2007 by The Baylor Department ofSociology asked, “Was going to Iraq the right decision?”The table summarizes responses from a 1571 randomlyselected adults. a) What percentage of respondents agreed that going toIraq was the right thing to do? b) What percentage of respondents classified their reli-gion as “None” and agreed that the war in Iraq was the right decision?c) What percentage of the respondents who classifiedtheir religion as “None” agreed that the war in Iraqwas the right decision?d) What percentage of the respondents who agreed thatthe war in Iraq was the right thing to do classifiedtheir religion as “None”?e) Were respondents’ opinions about the war in Iraqindependent of whether or not they were religious?Justify your decision using your answers from 2 ofthe prior questions.f) Among the respondents who identified a religion, wasthere an association between the religious affiliationand opinion about…
chapter 11
A study was performed to test eyewitness accuracy. Ten pairs of participants entered a room believing they would be participating in a gambling experiment. Each participant was given $10 in coins to play poker with. The participants were randomly seated near the door or away from the door. After 15 minutes, an actor dressed in street clothes burst into the room and stole the money from the participant near the door. The “thief” was later caught, and both participants (the victim and the witness) were asked to identify him in a line-up. Eyewitness accuracies from the participants were then compared. The ten victims reported a mean accuracy of 31.5 (SD = 21). The witnesses had a mean accuracy of 52.2 (SD = 19.5). Was there a difference? What was the effect size of eyewitness accuracy? Show the nul and alternative hypthoesis, aplhpa level 0.05 and test the null hypothtesis and draw the rejctin line, conclusion and effect size