Question

test the hypothesis using the p - value approach. be sure to verify the requirements of the test

$h_0: p = 0.2$ versus $h_1: p>0.2$

$n = 125, x = 40, \alpha=0.1$

is $np_0(1 - p_0)\geq10$?

no
yes

use technology to find the p - value.

$p$-value $=0.000$
(round to three decimal places as needed.)

the null hypothesis, because the $p$-value is than $\alpha$

Explanation:

Step1: Recall the decision rule for P - value

If \(P - value<\alpha\), we reject the null hypothesis \(H_0\). If \(P - value\geq\alpha\), we fail to reject the null hypothesis \(H_0\).

Step2: Compare P - value and \(\alpha\)

We are given that \(P - value = 0.000\) (rounded to three decimal places) and \(\alpha=0.1\). Since \(0.000<0.1\).

Answer:

Reject the null hypothesis, because the P - value is less than \(\alpha\).