You wish to test the following claim (Ha��) at a significance level of α=0.005�=0.005. Ho:p=0.89��:�=0.89 Ha:p>0.89��:�>0.89 You obtain a sample of size n=510�=510 in which there are 461 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 461 successful observations at least 461 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) α� greater than α� 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 0.89. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.89. The sample data support the claim that the population proportion is greater than 0.89. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.89.

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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Question

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

Ho:p=0.89��:�=0.89
Ha:p>0.89��:�>0.89

You obtain a sample of size n=510�=510 in which there are 461 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 461 successful observations
at least 461 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) α�
greater than α�

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 0.89.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.89.
The sample data support the claim that the population proportion is greater than 0.89.
There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.89.

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