Question

test the hypothesis using the p - value approach

$h_{0}:p = 0.45$ versus $h_{1}:p<0.45$
$n = 150,x = 62,\alpha=0.05$

perform the test using the p - value approach.

p - value = 0.1841 (round to four decimal places as needed)

choose the correct answer below.

○ a. since p - value $<\alpha$, reject the null hypothesis
○ b. since p - value $>\alpha$, do not reject the null hypothesis
○ c. since p - value $>\alpha$, reject the null hypothesis.
○ d. since p - value $<\alpha$, do not reject the null hypothesis.

Explanation:

Step1: Compare P - value and α

We are given \(P - value=0.1841\) and \(\alpha = 0.05\).

Step2: Make a decision

Since \(0.1841>0.05\) (i.e., \(P - value>\alpha\)).

Answer:

B. Since P - value > α, do not reject the null hypothesis