You wish to test the following claim (Ha) at a significance
level of α=0.10.
Ho:p1=p2
Ha:p1<p2
You obtain 13.3% successes in a sample of size n1=226 from the
first population. You obtain 21.4% successes in a sample of size
n2=541 from the second population. 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 statistic software output for this problem is:
test statistic = -2.606
P-value = 0.0046
P-value < 0.10
less than (or equal to) α
Reject the null hypothesis
There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion
You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:p1=p2 &n...
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