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6 December, 04:21

Suppose that competing hypotheses for a test are H0: p1 - p2 = 0 versus HA: p1 - p2 ≠ 0. A 95% confidence interval for the difference between the population proportions is calculated as [0.25, 0.40]. At the 5% significance level, the correct conclusion to the hypothesis test is

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  1. 6 December, 04:25
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    Step-by-step explanation:

    Given that in a hypothesis test for comparison of two proportions p1 and p2

    two tailed at 95% confidence level

    the confidence interval was (0.25,0.40)

    The hypothesis was for

    H0: p1 - p2 = 0 versus HA: p1 - p2 ≠ 0

    As per null hypothesis the difference between proportions should be 0.

    In our confidence interval we find lower limit is 0.25 and upper limit is 0.40

    i. e. 0 is not contained in this interval and 0 is significantly far from this 0.25 even lower limit

    So we can conclude that the difference between proportions cannot be 0 but is positive

    So reject null hypothesis.

    There is significant difference between proportions at 95% confidence level
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