Question

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

$h_{0}:p = 0.74$ versus $h_{1}:p\
eq0.74$
$n = 500,x = 360,\alpha=0.01$

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)

a. yes, because $np_{0}(1 - p_{0})=96.2$

b. no, because $np_{0}(1 - p_{0})=\square$

now find $\hat{p}$.

$\hat{p}=\square$ (type an integer or a decimal. do not round)

Explanation:

Step1: Calculate the sample proportion

The formula for the sample proportion $\hat{p}$ is $\hat{p}=\frac{x}{n}$.
Given $n = 500$ and $x = 360$, we substitute these values into the formula:
$\hat{p}=\frac{360}{500}=0.72$

Answer:

$\hat{p}=0.72$