Lynell is a student at a large state college. She read a magazine article that stated that 9 out of 10 college students, or 90%,prefer face-to-face lecture courses rather than online classes.Lynell thought that this number seemed high. It seemed to her that more than 10% of students prefer online lecture classesbecause online classes allow for more flexible schedules. To test this claim, Lynell formulated the following null andalternative hypotheses.Ho: p = 0.90H₁: p < 0.90The variable p represents the proportion of all students who prefer face-to-face lecture courses to online courses. Thealternative hypothesis, H₁, represents her claim that fewer than 90% of students prefer face-to-face classes.Next, she randomly surveyed 275 students at her college, which she took to be a simple random sample of all studentsattending large state colleges like hers. Her survey results are displayed below.Sample Sample Sample StandardsizecountproportionerrorpSE0.860.018n275X237StatisticZ-2.11Probabilityvaluep-value0.0174If Lynell requires her results to be statistically significant at level a = 0.05, choose the correct decision for her to makeabout this test, along with the correct reason for making that decision.Fail to reject Ho, because the the difference between the sample count and the expected count is -10.50, which istoo small to be significant.Reject Ho, because the p-value is greater than 0.01.No decision is possible because the requirements for using a one-sample z-test have not been met.Fail to reject Ho, because the p-value is less than 0.05.Reject Ho, because the p-value is less than 0.05.

The given p-value is 0.0174 and significance level is 0.05.

Answered: If Lynell requires her results to be…

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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