The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in theCommonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 17 do not meet minimum requirements. Of the 80 units sampled in WesternVirginia Sites (group 2), 24 do not meet minimum requirements. Assume the data can be treated as independent simple random samples.The hypotheses to test that the proportions of streams that fail to meet minimum requirements in the two areas are equal or not isO Ho: P1 P2 vs. Ha: P1 P2O Ho: P1 P2 vs. Ha: P₁ P2P2 vs. Ha: P₁ = P2O Ho: P1O Ho: P1P2 Vs. Ha: P₁ P2 An SRS of 25 male faculty members at a large university found that 10 felt that the university was supportive of female and minority faculty. Anindependent SRS of 20 female faculty found that 5 felt that the university was supportive of female and minority faculty. Let p₁ and p2 represent theproportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty atthe time of the survey. A 95% plus-four confidence interval for p₁ - P₂ isO 0.150 ± 0.263O 0.135 ± 0.270O 0.135 ± 0.263O 0.150 ± 0.27lipp

Followings are the Explanation of the question Use the two sample Z proportion test a) Given…

Answered: An SRS of 25 male faculty members at a…

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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Members of the We-Luv-Plants club are interested incomparing the tendency of males vs. females to choosea vegetarian diet. They randomly sampled 75 males and75 females at their school. The data showed that 23 of thegirls were vegetarians whereas only 12 of the boys couldstay away from a tasty burger.a) Construct and interpret a 95% confidence interval forthe difference in the proportions between girls andboys who are vegetarians.b) Does this confidence interval provide evidence thatgirls are more likely than boys to choose a vegetariandiet? Explain.c) To what population(s) do your conclusions in parts aand b apply?
A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 44 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 49 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 4.1. From previous studies, it is known that ?1 = 1.5 and ?2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement.
Ten engineering schools in a country were surveyed. The sample contained 225electrical engineers, 80 being women; 175 chemical engineers, 40 being women. Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there a significant difference between the two proportions? Let p1 be the population proportion of electrical engineers that are women in the schools that were surveyed and let p2 be the population proportion of chemical engineers that are women in the schools that were surveyed. The 90% confidence interval is nothing<p1−p2<nothing. (Round to three decimal places as needed.)
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? identify the null and alternative hypothesis What is the test statistic? What is the p-value? What is the critical value? Human activity Natural patterns Don't know Male 343 150 28 Female 356 173 30 Chi-Square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103…
For a study on the current trend in the design of social robots, researchers obtained a random sample of 103 social robots through a Web search and determined that 63 were designed with legs, but no wheels. Complete parts a and b. a. Find a 90% confidence interval for the proportion of all social robots designed with legs, but no wheels. Interpret the result.
In 2010, shortly before a country's midterm elections, people in that country were dissatisfied with government and 57% of adults in the country thought that a third major party was needed. In a recent poll, 61% of 1067 adults in the country felt the same way. At the 20% significance level, do the data provide sufficient evidence to conclude that the percentage of all adults in the country who now think that a third major party is needed has changed from that in 2010? Use the one-proportion z-test to perform the appropriate hypothesis test.
A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 41 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 50 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 5.7. From previous studies, it is known that ?1 = 1.6 and ?2 = 1.5. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. (a) What is the level of significance? .05 State the null and alternate…
The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"
A national research group reported that 36% of 18-24 year olds watch a cable news channel regularly. The director of media relations at a large university wanted to know what proportion of students at her university who watch a cable news channel regularly. If it is less than 36%, then she will unsubscribe to the news channels. She sampled 200 random students and found that 63 watched cable news regularly. Should she conclude that proportion of students at her university who watch cable news regularly is less than 36% at the 8% significance level? In the context of this problem and your conclusion, what type of error is possible? In the context of this problem, what would the error be? In the context of this problem, what would be a possible consequence of this error?

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