59% of students entering four-year colleges receive a degreewithin six years. Is this percent smaller than for students whoplay intramural sports? 155 of the 276 students who playedintramural sports received a degree within six years. Whatcan be concluded at the level of significance of a = 0.01? h. Interpret the p-value in the context of the study.O If the sample proportion of students who playedintramural sports who received a degree withinsix years is 56% and if another 276 such studentsare surveyed then there would be a 16.87%chance of concluding that fewer than 59% of allstudents who played intramural sports receiveda degree within six years.O If the population proportion of students whoplayed intramural sports who received a degreewithin six years is 59% and if another 276students who played intramural sports aresurveyed then there would be a 16.87% chancefewer than 56% of the 276 students surveyedreceived a degree within six years.There is a 16.87% chance that fewer than 59% ofall students who played intramural sportsgraduate within six years.O There is a 59% chance of a Type I error.i. Interpret the level of significance in the context of thestudy.There is a 1% chance that the proportion of allstudents who played intramural sports whoreceived a degree within six years is smallerthan 59%.If the population proportion of students whoplayed intramural sports who received a degreewithin six years is smaller than 59% and ifanother 276 students who played intramuralsports are surveyed then there would be a 1%chance that we would end up falsely concludingthat the proportion of all students who playedintramural sports who received a degree withinsix years is equal to 59%.O If the population proportion of students whoplayed intramural sports who received a degreewithin six years is 59% and if another 276students who played intramural sports aresurveyed then there would be a 1% chance thatwe would end up falsely concluding that theproportion of all students who played intramuralsports who received a degree within six years issmaller than 59%

The random variable students who play intramural sports follows normal distribution. We have to test…

Answered: 59% of students entering four-year…

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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Twenty years ago, 51% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 309 of 900 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a= 0.01 level of significance. Because npo (1- po) = 243.5 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: 51 versus H1: 51 (Type integers or decimals. Do not round.) Find the test statistic. Zo = 1.96 (Round to two decimal places as needed.) Find the P-value. P-value = .025 (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the…
Twenty years ago, 52% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 323 of 900 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a = 0.1 level of significance. Because npo (1- Po) (1) 10, the sample size is (2) 5% of the population size, and the sample (3) the requirements for testing the hypothesis (4) satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: (5) (6) versus H,: (7) (8) (Type integers or decimals. Do not round.) Find the test statistic. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. O A. Since…
Twenty years ago, 53% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 327 of 900 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a = 0.01 level of significance. Because npo (1-Po) =O > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis satisfied. are (Round to one decimal place as needed.)
Twenty years ago, 57% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 244 of 700 parents of children in h was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a= 0.1 level of significance. Because npo (1-pPo) =U 10, the sample size is V 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? V versus H,: Ho: (Type integers or decimals. Do not round.) Find the test statistic. Z, = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. O A. Since P-value a, reject the null hypothesis and…
A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. Report the findings in APA number format.
A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast.. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: О Но:р 0.705 (claim) Но: р > 0.705 HA:p < 0.705 (claim) О Но: р — 0.705 HA:P + 0.705 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. O There is not enough evidence to reject the claim that the proportion that skip…
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test…
X10.2.21-T Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 247 of 700 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a=0.01 level of significance. Because npo (1- Po) = 172.5 > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? versus H,: Ho: (Type integers or decimals. Do not round.)
It has been claimed that at UCLA at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. Does the evidence support the claim at = .01?
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…
Support for the U.S. death penalty for convicted murderers was 63% in 2014 (Gallup poll results 2018). In a recent survey of 150 randomly selected U.S. adults, 75 said they were in favor of the death penalty for those convicted of murder. Does this sample appear to come from a population with a lower proportion in favor of the death penalty? d) Say that a = 0.05, what does this mean. Explain in the context of the problem. e) What would it mean to make a type II error? Explain in the context of this problem. f) Use a 0.05 significance level to test the claim. State your conclusion AND interpret your results.
Management of a theater in a large city wants to know whether its popularity increased after it ran a popular musical. According to a previous study, 25% of city residents said they had been to the theater in the past year. A more recent study, conducted after the musical had run for a year, found that 156 of 536 residents sampled said they had been to the theater in the past year. Is there evidence at the ? = 0.05 level that the number of residents who have been to the theater has increased in the last year?

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