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. Fail to reject Ho, because the the difference between the sample count and the expected count is -10.50, which is too 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.
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. Fail to reject Ho, because the the difference between the sample count and the expected count is -10.50, which is too 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.
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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Transcribed Image Text: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
H₁: 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, 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 students
attending large state colleges like hers. Her survey results are displayed below.
Sample Sample Sample Standard
size
count
proportion
error
p
SE
0.86
0.018
n
275
X
237
Statistic
Z
-2.11
Probability
value
p-value
0.0174
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.
Fail to reject Ho, because the the difference between the sample count and the expected count is -10.50, which is
too 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.
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