You are conducting a study to see if the proportion of men over 50 who regularly have their0.01prostate examined is significantly different from 0.52. You use a significance level of aHo:p 0.52H p0.52You obtain a sample of size n = 715 in which there are 378 successes.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) aOgreater thanaThis p-value 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 proportion of menover 50 who regularly have their prostate examined is different from 0.52.There is not sufficient evidence to warrant rejection of the claim that the proportion ofmen over 50 who regularly have their prostate examined is different from 0.52.The sample data support the claim that the proportion of men over 50 who regularly havetheir prostate examined is different from 0.52.There is not sufficient sample evidence to support the claim that the proportion of menover 50 who regularly have their prostate examined is different from 0.52

Question
Asked Nov 13, 2019
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You are conducting a study to see if the proportion of men over 50 who regularly have their
0.01
prostate examined is significantly different from 0.52. You use a significance level of a
Ho:p 0.52
H p0.52
You obtain a sample of size n = 715 in which there are 378 successes.
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) a
Ogreater thana
This p-value 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 0.52.
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 0.52.
The sample data support the claim that the proportion of men over 50 who regularly have
their prostate examined is different from 0.52.
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 0.52
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You are conducting a study to see if the proportion of men over 50 who regularly have their 0.01 prostate examined is significantly different from 0.52. You use a significance level of a Ho:p 0.52 H p0.52 You obtain a sample of size n = 715 in which there are 378 successes. 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) a Ogreater thana This p-value 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 0.52. 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 0.52. The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.52. 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 0.52

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Expert Answer

Step 1

It is given that the sample size 715 and the number of successes is 378.

The population proportion is 0.52 and the level of significance is 0.01.

That is n 715, X 378 and P 0.52.a 0.01
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That is n 715, X 378 and P 0.52.a 0.01

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Step 2

The sample proportion is calculated below:

 

p
n
378
715
=0.5286
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p n 378 715 =0.5286

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Step 3

The value of the sample test statistic is given below:

Therefo...

р-Р
Z=
P(1-Р)
n
0.5286-0.52
0.52 (1-0.52)
715
0.0086
0.2496
715
0.0086
V0.000349
0.0086
0.0186
0.46
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р-Р Z= P(1-Р) n 0.5286-0.52 0.52 (1-0.52) 715 0.0086 0.2496 715 0.0086 V0.000349 0.0086 0.0186 0.46

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Hypothesis Testing

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