MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Charlie will perform a hypothesis test at the a = 0.05 level. Felice will perform the same test at the a = 0.01 level.
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- At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 44% of students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 170 students who visited the site looking for a roommate. Of the students surveyed, 60 said they found a match their first time using the site. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to reject the claim that the proportion, p, of all students who will find a match their first time using the site is 44%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: O Â H₁: 0 Р np = 0 n (1-p) = 0 Oarrow_forwardAn education researcher claims that 62% of college students work year-round. In a random sample of 300 college students, 186 say they work year-round. At a=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of college students who work year-round is not ______%. B. At most ______% of college students workyear-round. C. At least ______% of college students work year-round. D. ______% of college students work year-round. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.arrow_forwardThe American Automobile Association (AAA) claims that the proportion of dog owners who have allowed their dog to sit on their lap while they are driving is 0.17. You believe a different proportion of dog owners have driven while their dog is sitting on their lap. In a survey of a random sample of 318 dog owners, you find that the proportion in the sample who admit to having driven with a dog on their lap is 0.19. Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05. What will the hypotheses be? Ho: Ha: What is the test statistic? Please calculate this value below. What is the P-value?arrow_forwardAbigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015, She gathers a random sample of adults in the region and asks each individual if he or she currently smokes. Abigail found that 40 of the 277 adults who were surveyed are current smokers. What are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: O Ho: p0.158 Ha : p=0.158 0 Ho : p= 0.158 Ha: p> 0.158 Ho : p: 0.158 Ha p0.158 10 ĺHo:p=0.158 Ha: p0.158arrow_forwardA medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects.. The following is the setup for this hypothesis test: Ho :p 0.12 Ha p 0.12 In this example, the p-value was determined to be 0.124. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below: The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim O The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to reject the claimarrow_forwardSuppose P(A) = P(B) = 0.25 and P(AUB) = 0.45. What is P(AN B)?arrow_forwardA researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are H0:p = 0.4 and Ha: p < 0.4. The test statistic and p-value for the test are z = -3.01 and p-value = 0.0013. For asignificance level of a= 0.05, choose the correct conclusion regarding the null hypothesis.H0:________________________ Ha:_______________________Compare the p-value and a:_______________Decision:_________________________Conclusion:___________________________________________________________arrow_forwardAn education researcher claims that 57% of college students work year-round. In a random sample of 600 college students, 342 say they work year-round. At a = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H3. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. % of college students work year-round. O B. At most % of college students work year-round. O C. The percentage of college students who work year-round is not O D. At least % of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p> O B. Ho: ps O C. Ho: p= Ha: ps Hại p> H3:p = O D.…arrow_forwardA null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: p ≥ 0.2 Ha: p < 0.2 What type of test is being conducted in this problem?arrow_forwardA physician wants to determine if a supplement is effective in helping men lose weight. She takes a random sample of overweight men and records their weight before the trial. She then prescribes the supplement and instructs them to take it for four weeks while making no other lifestyle changes. After the four-week period, she records the weight of the men again. Identify the null and alternative hypotheses for a hypothesis test where d = weight after trial-weight before trial. Select the correct answer below:arrow_forwardA poll done for Newsweek 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 Newsweek poll? Perform a hypothesis test, using the five-step process, to test whether the proportion of Americans who have seen or sensed the presence of an angel is less than 13%.arrow_forwardThe P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a = 0.05, and (c) α=0.10. P=0.1123 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? ve this OA. Fail to reject Ho because the P-value, 0.1123, is less than α = 0.01 OB. Reject Ho because the P-value, 0.1123, is less than α=0.01. OC. Fail to reject Ho because the P-value, 0.1123, is greater than α=0.01. OD Reject Ho because the P-value, 0.1123, is greater than a = 0.01. Get more help - Q Search 16 4- 6 17 W & J+ 00 * 90 00 f9 ( f10 Janette Z 187 xarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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