According to a recent report, 45% of college student internships are unpaid. A recent survey of 80 college interns at a local university found that 39 had unpaid internships. a. Use the five-step p-value approach to hypothesis testing and a 0.10 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.45. b. Assume that the study found that 46 of the 80 college interns had unpaid internships and repeat (a). Are the conclusions the same? Question content area bottom Part 1 a. Let π be the population proportion. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: π ▼ greater than> greater than or equals≥ equals= less than or equals≤ not equals≠ less than< enter your response here H1: π ▼ less than< less than or equals≤ equals= greater than or equals≥ greater than> not equals≠ enter your response here (Type integers or decimals. Do not round.) Part 2 What is the test statistic? ZSTAT=enter your response here (Round to two decimal places as needed.) Part 3 What is the p-value? The p-value is enter your response here. (Round to three decimal places as needed.) Part 4 What is the final conclusion? ▼ Do not reject Reject the null hypothesis. There ▼ is not is sufficient evidence that the proportion of college interns that had unpaid internships is ▼ different fromdifferent from greater thangreater than less thanless than 0.45 because the p-value is ▼ less thanless than greater thangreater than the level of significance.
According to a recent report, 45% of college student internships are unpaid. A recent survey of 80 college interns at a local university found that 39 had unpaid internships. a. Use the five-step p-value approach to hypothesis testing and a 0.10 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.45. b. Assume that the study found that 46 of the 80 college interns had unpaid internships and repeat (a). Are the conclusions the same? Question content area bottom Part 1 a. Let π be the population proportion. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: π ▼ greater than> greater than or equals≥ equals= less than or equals≤ not equals≠ less than< enter your response here H1: π ▼ less than< less than or equals≤ equals= greater than or equals≥ greater than> not equals≠ enter your response here (Type integers or decimals. Do not round.) Part 2 What is the test statistic? ZSTAT=enter your response here (Round to two decimal places as needed.) Part 3 What is the p-value? The p-value is enter your response here. (Round to three decimal places as needed.) Part 4 What is the final conclusion? ▼ Do not reject Reject the null hypothesis. There ▼ is not is sufficient evidence that the proportion of college interns that had unpaid internships is ▼ different fromdifferent from greater thangreater than less thanless than 0.45 because the p-value is ▼ less thanless than greater thangreater than the level of significance.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Related questions
Question
According to a recent report,
45%
of college student internships are unpaid. A recent survey of
80
college interns at a local university found that
39
had unpaid internships.a. Use the five-step p-value approach to hypothesis testing and a
0.10
level of significance to determine whether the proportion of college interns that had unpaid internships is different from
0.45.
b. Assume that the study found that
46
of the
80
college interns had unpaid internships and repeat (a). Are the conclusions the same?Question content area bottom
Part 1
a. Let
π
be the population proportion. Determine the null hypothesis,
H0,
and the alternative hypothesis,
H1.
H0:
π
enter your response here
▼
greater than>
greater than or equals≥
equals=
less than or equals≤
not equals≠
less than<
H1:
π
enter your response here
▼
less than<
less than or equals≤
equals=
greater than or equals≥
greater than>
not equals≠
(Type integers or decimals. Do not round.)
Part 2
What is the test statistic?
ZSTAT=enter your response here
(Round to two decimal places as needed.)
Part 3
What is the p-value?
The p-value is
enter your response here.
(Round to three decimal places as needed.)
Part 4
What is the final conclusion?
▼
Do not reject
Reject
▼
is not
is
▼
different fromdifferent from
greater thangreater than
less thanless than
0.45
because the p-value is
▼
less thanless than
greater thangreater than
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