Question
If in a two-tailed, two-sample test of proportions for independent samples, we fail to reject the...
If in a two-tailed, two-sample test of proportions for independent samples, we fail to reject the null hypotheses, then we can conclude that
Multiple Choice
-
a difference exists between the population proportions.
-
we have no evidence that a difference exists between the population proportions.
-
the difference between sample proportions is definitely zero.
-
the difference between the population proportions is 1.
Homework Answers
Answer #1
The correct answer is (2), i.e., "We have no evidence that a difference exists between the population proportions."
When we are performing a two-tailed hypothesis with a given
significance level of 
and based on the
test-statistic, if we Fail to reject the null hypothesis, then we
conclude that- "At significance level of the sample data
does not provide sufficient evidence to support the alternative
hypothesis." As in context of this question, we conclude that,
there is insufficient evidence to reject the null hypothesis.
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