As such, the final conclusion is that...There is sufficient evidence to warrantrejection of the claim that the populationproportion is not equal to 0.61.There is not sufficient evidence to warrantrejection of the claim that the populationproportion is not equal to 0.61.The sample data support the claim that thepopulation proportion is not equal to 0.61.There is not sufficient sample evidence tosupport the claim that the populationproportion is not equal to 0.61. You wish to test the following claim (H) at asignificance level of a = 0.01.H.:p = 0.61Ha:p + 0.61You obtain a sample of sizen = 645 in which thereare 424 successful observations.What is the critical value for this test? (Round answerto three decimal places.)critical value = ±%3DWhat is the test statistic for this sample? (Do notround in between steps. Round only at the end tothree decimal places.)test statistic

Name: As such, the final conclusion is that...There is sufficient evidence
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Description: As such, the final conclusion is that...There is sufficient evidence to warrantrejection of the claim that the populationproportion is not equal to 0.61.There is not sufficient evidence to warrantrejection of the claim that the populationproportion

The significance level is 0.01. Computation of critical value: α=0.01α2=0.0051-α2=0.995 The critical…

Answered: You wish to test the following claim…

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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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

Expert Solution

Step 1

The significance level is 0.01.

Computation of critical value:

$\begin{array}{rcl} α & = & 0.01 \\ \frac{α}{2} & = & 0.005 \\ 1 - \frac{α}{2} & = & 0.995 \end{array}$

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 $\pm 2.576$ .

The sample proportion is,

$\begin{array}{rcl} \hat{p} & = & \frac{x}{n} \\ = & \frac{424}{645} \\ = & 0.6574 \end{array}$

The sample proportion is 0.6575.

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