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 study was conducted to determine the proportion of people who dream in black and white instead of color. Among 315 people over the age of 55, 61 dream in black and white, and among 285 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 = P2 H1: P1 > P2 O B. Ho: P1 # P2 H1: P1 = P2 OC. Ho: P1 = P2 H;:Pq
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of 55, 73 dream in black and white, and among 291 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is
Because the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V the proportion for those under 25. c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? O A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. O B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is…
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 320 people over the age of 55, 72 dream in black and white, and among 313 people under the age of 25, 15 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1≠p2 B. H0: p1=p2 H1: p1>p2 C. H0: p1≥p2 H1: p1≠p2 D. H0: p1≠p2 H1: p1=p2 E. H0: p1≤p2 H1: p1≠p2 F. H0: p1=p2 H1:p1<p2 Identify the test statistic. z=_____ (Round to…
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.)
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A large manufacturing company claims that less than 10% of its customers make a complaint about the company’s products. Test this claim at the 10% significance level, if a survey found that 29 out of a random sample of 320 of the company’s customers made a complaint about the company’s products.
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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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