Question 3
You are conducting a study to see if the proportion of women
over 40 who regularly have mammograms is significantly different
from 0.12. You use a significance level of α=0.05.
H0:p=0.12
H1:p≠0.12
You obtain a sample of size n=229 in which there are 23
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...
This test statistic leads to a decision to...
As such, the final conclusion is that...
H0: p = 0.12
Ha: p 0.12
Sample proportion = 23 / 229 = 0.1004
Test statistics
z = ( - p ) / sqrt ( p ( 1 - p) / n )
= ( 0.1004 - 0.12) / sqrt ( 0.12 ( 1 - 0.12) / 229)
= -0.913
p-value = 2 * P(Z < z)
= 2 * P(Z < -0.913)
= 2 * 0.1806
= 0.3612
The p-value is greater than
This test statistic leads to a decision to fail to reject the null
There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.12
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