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 classes because online classes allow for more flexible schedules. To test this claim, Lynell formulated the following null and alternative hypotheses. Ho: p = 0.90 H: p < 0.90 The variable p represents the proportion of all students who prefer face-to-face lecture courses to online courses. The alternative hypothesis, H, represents her claim that fewer than 90% of students prefer face-to-face classes. Next, she randomly surveyed 375 students at her college, which she took to be a simple random sample of all students attending large state colleges like hers. Her survey results are displayed below. Sample Sample Sample size count proportion Standard error Probability Statistic value x P SE Z P-value 375 325 0.86 0.015 -2.15 0.0157 If Lynell requires her results to be statistically significant at level a = 0.05, choose the correct decision for her to make about this test, along with the correct reason for making that decision. 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. Reject Ho, because the P-value is less than 0.05. Fail to reject Ho, because the the difference between the sample count and the expected count is -12.50, which is too small to be significant. Fail to reject Ho, because the P-value is less than 0.05.