MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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It is recommended to use a t-test to perform a hypothesis test for more than two groups.
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- A researcher is interested in determining whether there is a difference in male college students and female college students' preference for taking online classes over on-campus classes. The researcher surveys 82 female students, and found that 15 preferred online classes. The researcher surveys 70 male students, and found that 10 preferred online classes. Let's perform a hypothesis test at the 5% significance level. Test whether the proportion of females who prefer online classes is greater than the proportion of males who prefer online classes. Let p; be the proportion of female college students who prefer online classes. Let p2 be the proportion of male college students who prefer online classes. Compute the standardized test statistic? Hint: This is the Z-score of the difference in sample proportions, assuming the null hypothesis is true. Round to two decimal places.arrow_forwardExplain how the P-value is obtained for a one-mean z-test in case the hypothesis test is a. left tailed. b. right tailed. c. two tailed.arrow_forwardWhat does the null hypothesis assume for two independent sample t test?arrow_forward
- Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True Falsearrow_forwardSuppose 231 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is Identify the P-value for this hypothesis test. The P-value for this hypothesis test isarrow_forwardDo the needs of patients in the emergency room differ for those who come by car vs. those by ambulance? Of the randomly selected emergency room patients who came by car 51 had an injury, 40 were sick, 31 had heart problems and 61 had other needs. Of the randomly selected emergency room patients who came by ambulance 45 had an injury, 30 were sick, 55 had heart problems and 38 had other needs. Conduct the appropriate hypothesis test using an a = 0.10 level of significance. a. What is the correct statistical test to use? O Paired t-test O Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O Means of transportation to the emergency room and emergency room needs are independent. Means of transportation to the emergency room and emergency room needs are dependent. The distribution of emergency room needs for patients who come by car is the same as it is for patients who come by ambulance. The distribution of emergency room needs for patients who…arrow_forward
- Why would it make sense to call the hypothesis test as a marginal or partial test?arrow_forwardA university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.arrow_forwardIn this case, p-value is greater. So null hypothesis should not be rejected, correct?arrow_forward
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