In: Statistics and Probability
You wish to test the following claim (H1H1) at a significance
level of α=0.01
Ho:p1=p2Ho:p1=p2
H1:p1
You obtain 52.4% successes in a sample of size n1=563 from the
first population. You obtain 53.8% successes in a sample of size
n2=797 from the second population.
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...
The statistical software output for this problem is :
Test statistics = -0.510
P-value = 0.3051
The p-value is greater than α .
Fail to reject the null hypothesis .
There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.