Suppose that a recent report from the Current Population Survey (CPS) of the United States Census Bureau states that 46% of Americans say that now is a good time to find a quality job. Cory works for the mayor's office in a medium-sized city in Texas. The mayor would like to be able to state that the proportion of people in his city are more optimistic about job prospects than people are nationwide and has asked Cory to conduct a study. To test this claim, Cory forms the following null and alternative hypotheses. Ho: p = 0.46 H₁: p > 0.46 The variable p represents the proportion of people in his city who state that now is a good time to find a quality job. The alternative hypothesis, H₁, represents his claim that the proportion of people in his city who state that now is a good time to find a quality job is greater than 46%. To see if his assumption is correct, Cory randomly selects 500 residents of his city. His results are displayed. Sample Sample Sample Standard size count proportion error p SE 0.49 0.02 n 500 X 245 There is The decision is to Statistic evidence that the Z 1.35 If Cory requires his results to be statistically significant at level a = 0.10, choose the correct decision for him to make about this test, along with the correct reason for making that decision. the null hypothesis at significance level a = 0.10 (p = 0.0892). Probability value who state that now is a good time to find a quality job is p-value 0.0892
Suppose that a recent report from the Current Population Survey (CPS) of the United States Census Bureau states that 46% of Americans say that now is a good time to find a quality job. Cory works for the mayor's office in a medium-sized city in Texas. The mayor would like to be able to state that the proportion of people in his city are more optimistic about job prospects than people are nationwide and has asked Cory to conduct a study. To test this claim, Cory forms the following null and alternative hypotheses. Ho: p = 0.46 H₁: p > 0.46 The variable p represents the proportion of people in his city who state that now is a good time to find a quality job. The alternative hypothesis, H₁, represents his claim that the proportion of people in his city who state that now is a good time to find a quality job is greater than 46%. To see if his assumption is correct, Cory randomly selects 500 residents of his city. His results are displayed. Sample Sample Sample Standard size count proportion error p SE 0.49 0.02 n 500 X 245 There is The decision is to Statistic evidence that the Z 1.35 If Cory requires his results to be statistically significant at level a = 0.10, choose the correct decision for him to make about this test, along with the correct reason for making that decision. the null hypothesis at significance level a = 0.10 (p = 0.0892). Probability value who state that now is a good time to find a quality job is p-value 0.0892
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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Transcribed Image Text:Suppose that a recent report from the Current Population Survey (CPS) of the United States Census Bureau states that 46%
of Americans say that now is a good time to find a quality job. Cory works for the mayor's office in a medium-sized city in
Texas. The mayor would like to be able to state that the proportion of people in his city are more optimistic about job
prospects than people are nationwide and has asked Cory to conduct a study.
To test this claim, Cory forms the following null and alternative hypotheses.
Ho: P = 0.46
H₁: p > 0.46
The variable p represents the proportion of people in his city who state that now is a good time to find a quality job. The
alternative hypothesis, H₁, represents his claim that the proportion of people in his city who state that now is a good time
to find a quality job is greater than 46%.
To see if his assumption is correct, Cory randomly selects 500 residents of his city. His results are displayed.
Sample Sample Sample Standard
size
count
proportion
error
P
SE
0.49
0.02
n
500
X
245
There is
The decision is to
Statistic
evidence that the
Z
1.35
If Cory requires his results to be statistically significant at level a = 0.10, choose the correct decision for him
about this test, along with the correct reason for making that decision.
the null hypothesis at significance level a = 0.10 (p = 0.0892).
Probability
value
who state that now is a good time to find a quality job is
p-value
0.0892
make
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