Hypothesis Test for a Population ProportionTest the claim that the proportion of men who own cats issignificantly different than 20% at the 0.2 significancelevel. The test is based on a sample of 30 people, in which19% of the sample owned cats.The null and alternative hypothesis would be:Но: и— 0.2 Но:р — 0.2 Но: д — 0.2 Но: и0.2H1: µ + 0.2 H1:p < 0.2 H1: µ < 0.2 H1:u > 0.2Ho:p = 0.2 Ho:p = 0.2Нi:р + 0.2 Н]:р> 0.2The test is:two-tailed left-tailed right-tailedThe test statistic is:(to 2decimals)The positive critical value is:(to 2 decimals)Based on this we:Reject the null hypothesisO Fail to reject the null hypothesis

Answered: Hypothesis Test for a Population…

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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Pain medications sometimes come with side effects. One side effect is dizziness. A researcher wanted to determine if some pain medications produced more or less dizziness than others. The results from his study are shown in the table below. Use a test to determine if the proportion of people within each treatment group who experienced dizziness are the same at the α= .01 level of significance. Tordol Placebo Naproxen Tylenol Advil Dizziness 83 32 36 5 8 No dizziness 4063 1832 1330 382 337 1) Determine the null and alternative hypotheses. Select the correct pair. Ho: The proportion of people within each treatment group who experienced dizziness are the sameHa: The proportion of people within each treatment group who experienced dizziness are different Ho:The proportion of people within each treatment group who experienced dizziness are independentHa:The proportion of people within each treatment group who experienced dizziness are dependent 2) Determine the…
Dogs and calories In July 2007, Consumer Reportsexamined the calorie content of two kinds of hot dogs:meat (usually a mixture of pork, turkey, and chicken)and all beef. The researchers purchased samples ofseveral different brands. The meat hot dogs averaged111.7 calories, compared to 135.4 for the beef hot dogs.A test of the null hypothesis that there’s no difference inmean calorie content yields a P-value of 0.124. Woulda 95% confidence interval for mMeat - mBeef include 0?Explain.
Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level.The alternative hypothesis would be: μ<0.8μ<0.8 p>0.8p>0.8 μ>0.8μ>0.8 μ≠0.8μ≠0.8 p<0.8p<0.8 p≠0.8p≠0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 400 people, 71% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis The conclusion is: At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people…
Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.025 significance level. The null and alternative hypothesis would be: Ho: HN S HD Ho:pN 2 PD Ho:PN = PD Ho:UN = HD Ho: PN HD H:PN PD H1: µN Next Question hp
Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: µ = — 2.4 Но:р 2.4 Н: + 2.4 H:p> 0.6 H:д> 2.4 Hi:p #0.6 Hi:p < 0.6 Н:р < 2.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 2.41 with a standard deviation of 0.03 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.
College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is higher at his college. He tests H0: p = 0.25 versus Ha: p > 0.25. The campus health center staff select a random sample of 150 students and determine that 43 have been diagnosed with a STD. Conduct a hypothesis test to address the director’s hypothesis. Use a 5% significance level to make your decision. Use the applet to determine the P‑value. Click here to open the applet. Which of the following is an appropriate conclusion based on the results? The data provides strong evidence that the proportion of students at his college who have a STD is more than 25%. The data suggests that the proportion of students at his college who have a STD is 29%. Of the students surveyed at his college, 29%…
Test the daim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be: Ho:PN = PD Ho:HN > Hp Ho:PN > PD Ho:HN = HD Ho:HN µp Ha:PN > PD The test is: right-tailed left-tailed two-tailed The sample consisted of 16 night students, with a sample mean GPA of 3.28 and a standard deviation of 0.02, and 14 day students, with a sample mean GPA of 3.3 and a standard deviation of 0.03. test statistic = [three decimal accuracy] p-value = [three decimal accuracy] Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но:р — 0.2 Но: и 0.2 Ho:H Ho:H H:р + 0.2 Н]:р 0.2 Hi:р > 0.2 Hi:р#0.2 0.2 Но:р || The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level. The null and alternative hypothesis would be: Но: дм — Мр Но: рм — МF Но: рм — Pr Но: рм — рF Но: им — МЕ Но: рм — РF PF Ho:HM = µf Ho:PM = Pf H1: µM + HF H1:µM PF H1:µM > µF H1:PM < PF The test is: left-tailed right-tailed two-tailed Based on a sample of 60 men, 35% owned cats Based on a sample of 40 women, 55% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Но: HF Ho: UM = µF Ho:PM — pF Ho:рм PF Ho: им — MF Ho:; PF Нi: рм > иF Hi: рм # pF Hi:рм рF Hi: рм < pF Hi:рм # pғ The test is: right-tailed two-tailed left-tailed Based on a sample of 80 men, 25% owned cats Based on a sample of 40 women, 50% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
The numbers of online applications from simple random samples of college applications for 2004 and for the 2009 were taken. In 2004, out of 491 applications, 206 of them were completed online. In 2009, out of 268 applications, 145 of them were completed online. Test the claim that the proportion of online applications in 2004 was equal to the proportion of online applications in 2009 at the .10 significance level.Claim: Select an answer p 1 > p 2 u 1≠u 2 p 1≠p 2 u 1 u 2 u 1 ≤ u 2 which corresponds to Select an answer H1: u 1 p 2 H0: p 1≠p 2 H1: p 1 u 2 H1: p 1≠p 2 H1: u 1≠u 2 H0: p 1 = p 2 H0: u 1 ≤ u 2 Opposite: Select an answer u 1 p 2 p 1 u 2 p 1≠p 2 which corresponds to Select an answer H1: p 1≠p…

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