For the past several years, 55% of students at a particular college who lived on campus one year chose to live on campus again the next year. In light of rising tuition costs, the residential life administrators want to determine whether fewer students are planning to remain on campus for the next school year. They plan to conduct a one-sample z-test for a proportion, testing Ho : p = 0.55 against Ha: p < 0.55, where p is the proportion of college students who plan to live on campus again during the next year. The results of surveying a random sample of 452 students who currently on campus are as follows. Sample size Sample count Sample proportion Standard error Statistic Probability value SE P-value 452 237 52.4 0.023 -1.13 0.1292 If the significance level for their test is 0.05, what should they conclude? Fail to reject Ho because the P-value is greater than 0.05. Reject Ho because the P-value is greater than 0.05. Reject Ho because the P-value is less than 0.05. O Fail to reject Ho because the P-value is less than 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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For the past several years, 55% of students at a particular college who lived on campus one year chose to live on campus again
2 Question
the next year. In light of rising tuition costs, the residential life administrators want to determine whether fewer students are
planning to remain on campus for the next school year. They plan to conduct a one-sample z-test for a proportion, testing
3 Question
Ho : p = 0.55 against Ha: p < 0.55, where p is the proportion of college students who plan to live on campus again during the
next year.
4 Question
The results of surveying a random sample of 452 students who currently on campus are as follows.
5 Question
Sample size
Sample count
Sample proportion
Standard error
Statistic
Probability value
SE
P-value
6 Question
452
237
52.4
0.023
-1.13
0.1292
7 Question
8 Question
If the significance level for their test is 0.05, what should they conclude?
9 Question
Fail to reject Ho because the P-value is greater than 0.05.
10 Question
Reject Ho because the P-value is greater than 0.05.
Reject Ho because the P-value is less than 0.05.
11 Question
O Fail to reject Ho because the P-value is less than 0.05.
12 Question
13 Question
14 Question
15 Question
16 Question
Transcribed Image Text:E 6 of 30 Questions Completed 22 out of 30 Resources Submit All Press esc to exit full screen 1 Question Question 6 of 30 > For the past several years, 55% of students at a particular college who lived on campus one year chose to live on campus again 2 Question the next year. In light of rising tuition costs, the residential life administrators want to determine whether fewer students are planning to remain on campus for the next school year. They plan to conduct a one-sample z-test for a proportion, testing 3 Question Ho : p = 0.55 against Ha: p < 0.55, where p is the proportion of college students who plan to live on campus again during the next year. 4 Question The results of surveying a random sample of 452 students who currently on campus are as follows. 5 Question Sample size Sample count Sample proportion Standard error Statistic Probability value SE P-value 6 Question 452 237 52.4 0.023 -1.13 0.1292 7 Question 8 Question If the significance level for their test is 0.05, what should they conclude? 9 Question Fail to reject Ho because the P-value is greater than 0.05. 10 Question Reject Ho because the P-value is greater than 0.05. Reject Ho because the P-value is less than 0.05. 11 Question O Fail to reject Ho because the P-value is less than 0.05. 12 Question 13 Question 14 Question 15 Question 16 Question
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