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Question

In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes. Conduct the following tests at $\alpha=0.05$.

a. $H_0: p \geq 0.45 ; H_A: p<0.45$

b. $H_0: p=0.45 ; H_A: p \neq 0.45$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 11Considering this task we know that hypotheses look like this:

$\begin{aligned} H_0&:p\geq0.45\\ H_A&:p<0.45 \end{aligned}$

and the sample of $n = 320$ observations has a $x=128$ successful observations.

We need to calculate the value of the test statistic, $p-$ value, and conduct tests of the above hypotheses if $\alpha=0.05$.

*How can we find a statistic value test for the population proportion? Under what conditions is this test statistic feasible?*

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