You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.45. You use a significance level of α=0.002. H0:p=0.45 H1:p≠0.45You obtain a sample of size n=196 in which there are 81 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = 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 proportion of men over 50 who regularly have their prostate examined is different from 0.45. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45. The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45. There is not sufficient sample evidence to support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45.

Name: You are conducting a study to see if the proportion of men over 50 who
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Description: You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.45. You use a significance level of α=0.002. H0:p=0.45 H1:p≠0.45You obtain a sample of size n=19

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.45. You use a significance level of α=0.002.

H0:p=0.45
H1:p≠0.45

You obtain a sample of size n=196 in which there are 81 successes.

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

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 proportion of men over 50 who regularly have their prostate examined is different from 0.45.
There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45.
The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45.
There is not sufficient sample evidence to support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45.

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