You wish to test the following claim (Ha) at a significance level of α=0.002α Ho:p=0.44 Ha:p<0.44You obtain a sample of size n=289 in which there are 121 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the critical value for this test? (Report answer accurate to two decimal places.)critical value = What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)standardized test statistic = The standardized test statistic is: choose one of two possible answers.in the critical regionnot in the critical regionThis standardized test statistic leads to a decision to: choose one of three possible answers.reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that: choose one of four possible answers.There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.44.There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.44.The sample data support the claim that the population proportion is less than 0.44.There is not sufficient sample evidence to support the claim that the population proportion is less than 0.44.

Sample proportion = 121/289 = 0.42 The null and alternative hypotheses Ho:p=0.44 Ha:p<0.44

Answered: What is the critical value for this…

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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You wish to test the following claim (Ha) at a significance level of α=0.002α

Ho:p=0.44
Ha:p<0.44

You obtain a sample of size n=289 in which there are 121 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the critical value for this test? (Report answer accurate to two decimal places.)
critical value =

What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)
standardized test statistic =

The standardized test statistic is: choose one of two possible answers.

in the critical region
not in the critical region

This standardized test statistic leads to a decision to: choose one of three possible answers.

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that: choose one of four possible answers.

There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.44.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.44.
The sample data support the claim that the population proportion is less than 0.44.
There is not sufficient sample evidence to support the claim that the population proportion is less than 0.44.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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