Test the claim that the mean GPA of night students is significantly different than 3.1 at the 0.2 significancelevel.The null and alternative hypotheses would be:Но:р — 0.775 Но:р — 0.775 Но:и — 3.1 Hо: д — 3.1 Но:р — 0.775 Но: и — 3.1Ні:р < 0.775 Hі:р20.775 Hi:n > 3.1 Нi:д 3.1 Н:р> 0.775 Hi:р < 3.1The test is:two-tailed right-tailed left-tailedBased on a sample of 36 people, the sample mean GPA was 3.08 with a standard deviation of 0.1The p-value is:(to 3 decimals)The positive significance level is:(to 2 decimals)Based on this we:O Reject the null hypothesisO Fail to reject the null hypothesis

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Answered: Test the claim that the mean GPA of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose you conducted a case-control study to assess whether a positive association exists between syphilis and neurological disorders. Which of the following is an appropriate way to present the hypotheses? Ho: OR ≠ 1; Ha: OR = 1 Ho: RR ≠ 1; Ha: RR = 1 Ho: OR = 1; Ha: OR > 1 Ho: RR = 1; Ha: RR > 1 Ho: OR = 1; Ha: OR ≠ 1
Before the semester began, Professor Keithley predicted that 15% of hisphilosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%an F. At the end of the semester, 14 of Professor Keithley’s philosophy studentsearned an A, 19 a B, 12 a C, 5 a D, and 2 an F.Use the Chi-Square test and a 0.05 level of significance to determine if ProfessorKeithley’s predicted percentages were accurate. (State your null and alternativehypothesis, find the critical values and test statistics, make a decision, and writea conclusion based on your results).
Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level. The null and alternative hypothesis would be: Но: дм — ир Но: РM PF Ho: рм 3 Рr Но: дм —D Pr Но: им — pр Но: рм H:: им # ир H:рм > PF Н: дм НF The test is: two-tailed right-tailed left-tailed Based on a sample of 40 men, 25% owned cats Based on a sample of 80 women, 35% owned cats (to 2 decimals) The test statistic is: The p-value is: |(to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 3.5 at the .005 significance level. The null and alternative hypothesis would be: Но: р — 0.875 Н,: р — 0.875 Но: р — 3.5 Но: р — 3.5 Но:р — 0.875 Hо: д — 3.5 Hа:р> 0.875 Н,:р40.875 H,:и # 3.5 Н;:и 3.5 The test is: two-tailed right-tailed left-tailed Based on a sample of 25 people, the sample mean GPA was 3.55 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 225 observations in the category of interest, and p=225/400 =0.5625. Researcher B gets 227 in the category of interest, and p=227/400 = 0.5675. Complete parts (a) through (e) below. A ... OB. Hypothesis tests that produce similar P-values always have the same conclusion. OC. Hypothesis tests that result in the same conclusion do not necessarily have the same P-value. D. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically significant." d. From part a, part b, and part c, explain why important information is lost by reporting the result of a test as "P-value ≤0.05" versus "P-value > 0.05," or as "reject Ho" versus "Do not reject Ho," instead of reporting the actual P-value.…
Test the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level. The null and alternative hypotheses would be: Но: д — 3.2 Но: р — 3.2 Но:р — 3.2 Но:р — 0.8 Но:р — 0.8 Но:р — 0.8 0.8 Ho:p %3D Hi:д 3.2 Ні:д 3.2 Hi:р > 0.8 H:р < 0.8 Ні:р 0.8 The test is: right-tailed two-tailed left-tailed Based on a sample of 31 people, the sample mean GPA was 3.24 with a standard deviation of 0.14 The p-value is: | (to 3 decimals) The significance level is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%. The data suggest the populaton proportion is significantly higher than 10% at α = 0.05, so there is statistically…
Test the claim that the mean GPA of night students is larger than 2.7 at the .10 significance level. The null and alternative hypothesis would be: Ho: : р %3D 0.675 Но:р %3D 0.675 Но: д 3 2.7 Но:д 3 2.7 Но: Д — 2.7 Но:р %3D 0.675 Нi:р > 0.675 Hі:p 2.7 Hі:р 2 0.675 The test is: left-tailed two-tailed right-tailed Based on a sample of 55 people, the sample mean GPA was 2.72 with a standard deviation of 0.07 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: Им — Пр Но: рм — Рғ Но: им — Др Но: Ам — Ир Но: рм — Pғ Но:рм — Рr Hi: дм > Нр H:рм > РF Hi: Дм < Mp Hi:рим + pp Hi:рм + PF Hi:рм < PF The test is: left-tailed two-tailed right-tailed Based on a sample of 60 men, 35% owned cats Based on a sample of 80 women, 40% owned cats |(to 2 decimals) The test statistic is: The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 428 of the 639 freshmen psychology majors from a recent study changed their major before they graduated and 502 of the 783 freshmen business majors changed their major before they graduated. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v| Select an answer v H: Select an answer v Select an answer v| Select an answer v AW b. The test statistic ? v = (please show your answer to 2 decimal places.) es c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population…
Suppose I'm using chi-square analysis to determine the relationship, if any, between a pair of categorical variables. How should I interpret the results if I get a significant chi-square statistic but see that the high value is driven essentially by only a couple of cells in the crosstab? Is there a better way to proceed to get an imnproved understanding of what's going on? Thanks.
Test the claim that the proportion of people who own cats is significantly diffe significance level. The null and alternative hypothesis would be: Ο Η: μ 0.9 Ο H: μ > 0.9 Ha:µ 0.9 На:р 0.9 The test is: O two-tailed O right-tailed O left-tailed Based on a sample of 300 people, 88% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: O Do not reject the null hypothesis O Reject the null hypothesis

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