Chapter 8 Quiz

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San Jose State University *

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Statistics

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Jun 22, 2024

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docx

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1. Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A skeptical paranormal researcher claims that theproportion of Am ericans that have seen a UFO, p, is less than 2 in every ten thousand. Assuming t hat a hypothesis test of the claim has been conducted andthat the conclusion is f ailure to reject the null hypothesis, state the conclusion in nontechnical terms. a.There is not sufficient evidence to support the claim that the true proportion is l ess than 2 in ten thousand. b. There is not sufficient evidence to support the claim that the true proportion is greater than 2 in ten thousand. c. There is sufficient evidence to support the claim that the true proportion is less than 2 in ten thousand. d. There is sufficient evidence to support the claim that the true proportion is gre ater than 2 in ten thousand. 2. Assume that the data has a normal distribution and the number of observations i s greater than fifty. Find the critical z value used to test a nullhypothesis. α = 0.0 5 for a two-tailed test. Group of answer choices
3. Express the null hypothesis and the alternative hypothesis in symbolic form. An e ntomologist writes an article in a scientific journal which claimsthat fewer than 14 in ten thousand male fireflies are unable to produce light due to a genetic mutati on. Use the appropriate parameter (p or μ) , the trueproportion of fireflies unable to produce light. Group of answer choices a. H0: p = 0.0014 H1: p > 0.0014 b. H0: μ = 0.0014 H1: μ > 0.0014 c. H0: p = 0.0014 H1: p < 0.0014 d. H0: μ = 0.0014 H1: μ < 0.0014 4. Use the given information to find the Pvalue. Also, use a 0.05 significance level a nd state the conclusion about the null hypothesis (reject the nullhypothesis or fail to reject the null hypothesis). The test statistic in a left-tailed test is z = -2.05. Group of an swer choices 5. Assume that the data has a normal distribution and the number of observations i s greater than fifty. Find the critical z value used to test a nullhypothesis. α = 0.05 for a lef t-tailed test.
6. Find the value of the test statistic z using z = ((p) hat - p/square root of ((pq/n))) . A claim is made that the proportion of children who play sportsis less than 0.5, a nd the sample statistics include n = 1469 subjects with 30% saying that they pla y a sport.
7. The mean height of adult men in the U.S. is 69.7 inches, with a standar d deviation of 3 inches. A sociologist believes that taller men may be m orelikely to be promoted to positions of leadership, so the mean height of male business executives may be greater than the mean height of t he entire malepopulation. A simple random sample of 100 male busine ss executives has a mean height of 69.9 in. Assume that the standard deviation of male executiveheights is = 3 inches. Can we conclude that male business executives are taller on the average than the general m ale population at the = 0.05 level.
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