The Environmental Protection Agency wanted to compare the proportion of plants i
ID: 3127776 • Letter: T
Question
The Environmental Protection Agency wanted to compare the proportion of plants in violation of air quality standards for two different industries: steel and utility. Two independent samples of plants were selected and monitored. The following data was recorded:
Steel: n1 = 150 Number of violations =x1 = 12
Utility: n2 = 160 Number of violations = x2 = 12
Test using = 0.01.
The null and alternate hypothesis used:
H0: p1-p2=0 vs. Ha: p1-p2 not equal 0
The test statistic is:
0.1645
What is the correct conclusion regarding this test?
There is not enough information given
Accept the null hypothesis
Fail to reject the null hypothesis
Reject the null hypothesis
A.There is not enough information given
B.Accept the null hypothesis
C.Fail to reject the null hypothesis
D.Reject the null hypothesis
Explanation / Answer
As
z = 0.1645
which is very small (nobody rejects Ho because of a z less than 1), then
OPTION C: Fail to reject the null hypothesis [ANSWER]
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