12. You are conducting a study to see if the proportion of men over 50 who regul
ID: 3351740 • Letter: 1
Question
12. You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.46. You use a significance level of =0.02.
H0:p=0.46H0:p=0.46
H1:p0.46H1:p0.46
You obtain a sample of size n=167 in which there are 92 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...
A less than (or equal to)
B greater than
This test statistic leads to a decision to...
A reject the null
B accept the null
C fail to reject the null
As such, the final conclusion is that...
A 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 0.46.
B 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 0.46.
C The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.46.
D 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 0.46.
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.46
HA : p 0.46
Hypothesis test results:
Hence,
Test statistic = 2.357
P - value = 0.0184
P - value is less than or equal to .
Reject the Null
The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.46. Option C is correct.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 92 167 0.5508982 0.038567151 2.3568815 0.0184Related Questions
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