60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 130 of the 241 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than
for students who play intramural sports? 130 of the 241 students who played intramural sports received a
degree within six years. What can be concluded at the level of significance of a = 0.01?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho:1?v
Но:
7Select an answer v
(please enter a decimal)
H1:1?v|Select
an answer v
(Please enter a decimal)
c. The test statistic ?
(please show your answer to 3 decimal places.)
d. The p-value
(Please show your answer to 4 decimal places.)
e. The p-value is ? va
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusiion is that ..
The data suggest the population proportion is not significantly smaller than 60% at a = 0.01,
so there is not sufficient evidence to conclude that the population proportion of students who
played intramural sports who received a degree within six years is smaller than 60%.
The data suggest the populaton proportion is significantly smaller than 60% at a = 0.01, so
there is sufficient evidence to conclude that the population proportion of students who played
Intramural sports who received a degree within six years is smaller than 60%
%3D
The data suggest the population proportion is not significantly smaller than 60% at a = 0.01,
so there is sufficient evidence to conclude that the population proportion of students who
played intramural sports who received a degree within six years is equal to 60%.
h. Interpret the p-value in the context of the study.
If the population proportion of students who played intramural sports who received a degree
within six years is 60% and if another 241 students who played intramural sports are surveyed
then there would be a 2.74 chance fewer than 54% of the 241 students surveyed received a
degree within six year5.
E7°E Clouudy
Transcribed Image Text:60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 130 of the 241 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho:1?v Но: 7Select an answer v (please enter a decimal) H1:1?v|Select an answer v (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusiion is that .. The data suggest the population proportion is not significantly smaller than 60% at a = 0.01, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is smaller than 60%. The data suggest the populaton proportion is significantly smaller than 60% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of students who played Intramural sports who received a degree within six years is smaller than 60% %3D The data suggest the population proportion is not significantly smaller than 60% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 60%. h. Interpret the p-value in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 241 students who played intramural sports are surveyed then there would be a 2.74 chance fewer than 54% of the 241 students surveyed received a degree within six year5. E7°E Clouudy
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