A college claims that the proportion, p, of students who commute more than fifteen miles to school is less than 20%. A researcher wants to test this. A randomsample of 275 students at this college is selected, and it is found that 37 commute more than fifteen miles to school. Is there enough evidence to support thecollege's claim at the 0.01 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H. and the alternative hypothesis H₁.0Ho:0H₁:0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)(e) Is there enough evidence to support the claim that the proportion of studentswho commute more than fifteen miles to school is less than 20%?Yes NoμX0=0☐#0XOSOSO0<0Śр

Claim: The proportion, p, of students who commute more than fifteen miles to school is less than…

Answered: A college claims that the proportion,…

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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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 65 out of a random sample of 78 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. -What is the value of the sample test statistic? (Round your answer to two decimal places.) -What is the value of the sample test statistic? (Round your answer to two decimal places.)
The government of a certain country says that the literacy rate (the proportion of people who are literate) in the country is 73%. A nongovernmental organization believes that the rate is lower than that. To test their belief at the 1% significance level, the organization studies a random sample of 420 people and finds that 283 of them are literate. Ho: p=0.73 Ha: P< 0.73 Find the P-value. Round your answer to 3 decimal places.
A marketing manager fora cell phone company claims that the percentage of children aged 8-12 who have cell phones differs from 61%. In a survey of 826 children aged 8-12 by a national consumers group, 545 of them had cell phones. Can you conclude that the managers claim is true? Use the a = 0.10 level of significance and the p value method with the ti 84 plus calculator. Compute the p value. Round the answers to at least four decimal places.
A researcher predicted that students will learn better if they attribute their performance to effort rather than natural ability. In one condition, a randomly selected group of sixth graders wrote an essay about a time when they worked hard to reach a goal. In a second condition, a different randomly selected group of sixth graders wrote about a skill they thought they were naturally good at. Afterwards, the students began a nine-week social studies unit that concluded with an achievement test. Use the data below to conduct an 1. appropriate statistical test (higher scores indicate higher achievement). Follow the 7 hypothesis testing steps you have been taught. Some of the steps have already been done for you. Wrote about Wrote about effort natural ability 81.89 M 84.77 40 55 60 60 1. Ho: There is no difference in the achievement scores of the students who wrote about effort and those who wrote about natural ability Mefort = Hability Ha: There is a difference in the achievement scores…
An administrator at a rural college claims that the proportion, p, if students who commute farther than fifteen miles to school is more than 15%. To test this, she selects a random sample of 275 students at this college, and she finds that 42 commute father than fifteen miles to school, is there enough evidence to support the administrators claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
Twenty years ago, 47% 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 293 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. ... Find the test statistic. Zn = (Round to two decimal places as needed.) %3D
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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…
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The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.35 days. Is this average different for blind dates? A researcher interviewed 70 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over. Their standard devlation was 0.655 days. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv c. The test statistic ?v (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 ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 2.35 at a = 0.10, so there is statistically…
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
A study found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the study? What is the p-value?

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