In: Statistics and Probability
You wish to test the following claim (Ha) at a significance
level of α=0.005.
Ho:p1=p2
Ha:p1≠p2
You obtain a sample from the first population with 117 successes
and 176 failures. You obtain a sample from the second population
with 164 successes and 132 failures. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
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 = -2.915
P-value = 0.0035
The p-value is less than (or equal to) α
reject the null
There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion.