You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:p=0.42 Ha:p>0.42You obtain a sample of size n=558 in which there are 271 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)The p-value for this test is (assuming Ho is true) the probability of observing...at most 271 successful observationsat least 271 successful observationsWhat is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) ααgreater than ααThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.42.There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.42.The sample data support the claim that the population proportion is greater than 0.42.There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.42.

Name: You wish to test the following claim (Ha) at a significance level of α
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Description: You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:p=0.42 Ha:p>0.42You obtain a sample of size n=558 in which there are 271 successful observations. For this test, you should use the (cumulative) binomial distr

The number of successful observations are 271, and sample size is 558. The claim is population…

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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You wish to test the following claim (Ha) at a significance level of α=0.005.

Ho:p=0.42
Ha:p>0.42

You obtain a sample of size n=558 in which there are 271 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming Ho is true) the probability of observing...

at most 271 successful observations
at least 271 successful observations

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.42.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.42.
The sample data support the claim that the population proportion is greater than 0.42.
There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.42.

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