MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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As such, the final conclusion is that...
There is sufficient evidence to warrant
rejection of the claim that the population
proportion is not equal to 0.61.
There is not sufficient evidence to warrant
rejection of the claim that the population
proportion is not equal to 0.61.
The sample data support the claim that the
population proportion is not equal to 0.61.
There is not sufficient sample evidence to
support the claim that the population
proportion is not equal to 0.61.
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Transcribed Image Text:As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.61. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.61. The sample data support the claim that the population proportion is not equal to 0.61. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.61.
You wish to test the following claim (H) at a
significance level of a = 0.01.
H.:p = 0.61
Ha:p + 0.61
You obtain a sample of sizen = 645 in which there
are 424 successful observations.
What is the critical value for this test? (Round answer
to three decimal places.)
critical value = ±
%3D
What is the test statistic for this sample? (Do not
round in between steps. Round only at the end to
three decimal places.)
test statistic
expand button
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.01. H.:p = 0.61 Ha:p + 0.61 You obtain a sample of sizen = 645 in which there are 424 successful observations. What is the critical value for this test? (Round answer to three decimal places.) critical value = ± %3D What is the test statistic for this sample? (Do not round in between steps. Round only at the end to three decimal places.) test statistic
Expert Solution
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Step 1

The significance level is 0.01.

Computation of critical value:

α=0.01α2=0.0051-α2=0.995

The critical value of z-distribution can be obtained using the excel formula “=NORM.S.INV (0.995)”. The critical value is 2.576.

Thus, the critical value is ±2.576.

The sample proportion is,

p^=xn=424645=0.6574

The sample proportion is 0.6575.

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