Question

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

$h_0: p = 0.74$ versus $h_1: p \
eq 0.74$
$n = 500$, $x = 360$, $\alpha = 0.01$

is $np_0(1 - p_0)\geq10$? select the correct choice below and fill in the answer box to complete your choice.
(type an integer or a decimal. do not round.)

$\bigcirc$ a. yes, because $np_0(1 - p_0)=$
$\bigcirc$ b. no, because $np_0(1 - p_0)=$

Explanation:

Step1: Substitute values into formula

Given \(n = 500\), \(p_0=0.74\). Calculate \(np_0(1 - p_0)\) using the formula \(np_0(1 - p_0)\).

$$
LATEXBLOCK0
$$

Step2: Perform multiplications

First, \(500\times0.74 = 370\). Then \(370\times0.26=96.2\)

Answer:

A. Yes, because \(np_0(1 - p_0)=96.2\)