In a sample of 57 men, 35 said that they had less leisure time today than they had 10 years ago. In a sample of 57 women, 43 women said that they had less leisure time today than they had 10 years ago. At \(\alpha = 0.10\), is there a difference in the proportions?Use \(p_1\) for the proportion of men with less leisure time.**Part: 0 / 6**---**Part 1 of 6**State the hypotheses and identify the claim with the correct hypothesis.\[ H_0: \] (Choose one) \[ H_1: \] (Choose one) This hypothesis test is a (Choose one) test.**Diagram Explanation:**There are several icons with mathematical symbols indicating options for hypothesis testing. These include:- \(<\)- \(\leq\)- \(>\)- \(\geq\)- \(=\)- \(\neq\) These options are likely used to define and test the null and alternative hypotheses for the given scenario.

Solution-: Let, p1 - be proportion of men with less leisure time and p2 - proportion of women with…

Answered: In a sample of 57 men, 35 said that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Last year at a local country club, 60% of the golfers were “full members”, 30% were “junior members”, and the remaining 10% were guests. In a sample of 400 golfers this year, 210 have been “full members”, 100 were “junior members’, and the remaining 90 were guests. At the 5% level of significance, does it appear the proportions have changed? Write all formulas and hypothesis
53% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 161 of the 283 students who played intramural sports recelved a degree within six years. What can be concluded at the level of significance of a = 0.05? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ♥ Select an answer ♥ (please enter a decimal) H: ?♥ Select an answer ♥ |(Please enter a decimal) C. The test statistic|? ♥ (please show your answer to 3 decimal places.) d. The p-value = | (Please show your answer to 4 decimal places.) e. The p-value is ? ♥ a f. Based on this, we should| Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly larger than 53% at a = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a…
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An opinion poll asked a random sample of adults whether they believe flu shots are ineffective in the United States. A commentator believes less than 35% of all adults believe they are ineffective. Which null and alternative hypotheses should be used to test this claim? Group of answer choices H0: p ≠ 0.35, Ha: p < 0.35 H0: p = 0.35, Ha: p < 0.35 H0: p = 0.35, Ha: p ≠ 0.35 H0: p < 0.35, Ha: p = 0.35 H0: p = 0.35, Ha: p > 0.35
Who will you vote for? A simple random sample of 1500 voters were surveyed and asked whether they were planning to vote for the incumbent mayor for re-election. Seven hundred ninety-eight of them replied that they were planning to vote for the mayor. The mayor claims that more than half of all voters are planning to vote for her. To test this claim, a test of the hypotheses H0: p = 0.5 versus H1: p > 0.5 is performed. a. Show that the P-value is 0.007. b. The P-value is very small, so H0 is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?
A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 71%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 097%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H and the alternative hypathesis A that we would use for this test. H 0 H:0 ?
D Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. Ho : P1 – p2- Select your answer - Ha : Pi - P2 - Select your answer - b. Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. p-value = %3D At a = 0.05 level of significance, what is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their financial security is more than fair. II.…
Part 2 and 3
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A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time. (Source: Gallup Politics, Americans' Views of Egypt Sharply More Negative, data collected February 2-5, 2011).

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