Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p = 0.72 versus Hy: př0.72 n=500, x = 350, a = 0.1 Is npo (1-po) 2 10? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. No, because npo (1-po) = . OB. Yes, because npo (1-po) = . Now find . p= (Type an integer or a decimal. Do not round.) Find the test statistic zo. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) State the conclusion of the hypothesis test. because the P-value is than a than a

Answer 1

Solution :

B) Yes because np0(1 - p0) = 500 * 0.72 * 0.28 = 100.8

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.72

H_a : p $\neq$ 0.72

$\hat p$ = x / n = 350 / 500 = 0.7

Test statistic = z

= $\hat p$ - P₀ / [$\sqrt$P_{0 *} (1 - P₀ ) / n]

= 0.7 - 0.72 / [$\sqrt$(0.72 * 0.28) / 500]

= -1.00

P-value = 0.319

Fail to reject , greater