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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
Related questions
Question
If Lynell requires her results to be statistically significant at level ?=0.05α=0.05, choose the correct decision for her to make about this test, along with the correct reason for making that decision.
Reject ?0H0, because the ?P-value is less than 0.05.
Fail to reject ?0H0, because the the difference between the sample count and the expected count is −12.00−12.00, which is too small to be significant.
Fail to reject ?0H0, because the ?P-value is less than 0.05.
Reject ?0H0, because the ?P-value is greater than 0.01.
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
Ha : 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, Ha, represents her claim that fewer than 90% of students prefer face-to-face classes.
Next, she randomly surveyed 350 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
Probability
Statistic
size
count
proportion
error
value
n
SE
P-value
350
303
0.86
0.016
-2.14
0.0163
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 less than 0.05.
O Fail to reject Ho, because the the difference between the sample count and the expected count is –12.00, which is too
small to be significant.
O Fail to reject Ho, because the P-value is less than 0.05.
O Reject Ho, because the P-value is greater than 0.01.
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