56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 170 of the 278 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10?
56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 170 of the 278 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10?
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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56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for
students who play intramural sports? 170 of the 278 students who played intramural sports received a
degree within six years. What can be concluded at the level of significance of a = 0.10?
F2
a. For this study, we should use [z-test for a population proportion
b. The null and alternative hypotheses would be:
Ho: p=
v 0.56
(please enter a decimal)
H₁: pv>
(Please enter a decimal)
c. The test statistic z
d. The p-value =
e. The p-value is ? a
f. Based on this, we should
g. Thus, the final conclusion is that ...
#3
✓0.56
= 1.730
(Please show your answer to 4 decimal places.)
(please show your answer to 3 decimal places.)
O The data suggest the populaton proportion is significantly larger than 56% at a = 0.10, 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 larger than 56%
O The data suggest the population proportion is not significantly larger than 56% at a = 0.10, 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 56%.
O The data suggest the population proportion is not significantly larger than 56% at a = 0.10, 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 larger than 56%.
h. Interpret the p-value in the context of the study.
Select an answer the null hypothesis.
O There is a 4.18% chance that more than 56% of all students who played intramural sports
received a degree within six years.
80
F3
O If the sample proportion of students who played intramural sports who received a degree
within six years is 61% and if another 278 students who played intramural sports are surveyed
then there would be a 4.18% chance of concluding that more than 56% of all students who
played intramural sports received a degree within six years.
O There is a 4.18% chance of a Type I error.
O If the population proportion of students who played intramural sports who received a degree
within six years is 56% and if another 278 students who played intramural sports are surveyed
then there would be a 4.18% chance that more than 61% of the 278 students surveyed received
a degree within six years
i. Interpret the level of significance in the context of the study.
$
54
O If the population proportion of students who played intramural sports who received a degree
within six years in 56% and if another 270 students who played intramural coorte are curves
F4
%
5
F5
A
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F6
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8
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F7
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F8
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F9
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