Question

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test.

H0​:p = 0.8 versus H1​: p>0.8

n=200; x=165​,a=0.01

A) Is npO (1 - P0) > 10?

Yes Or No

B) Use technology to find the P-Value

P-value = __

__The null hypothesis, because the P-value is __ a

a-Reject or Do not reject

b-Less or Greater

Answer 1

Solution :

This hypothesis test is a right tailed test .

The null and alternative hypothesis is

H₀ : p =0.8

H_a : p > 0.8

A) Yes

= x / n = 165 / 200 = 0.825

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.825 - 0.8/ [(0.825 * 0.175) / 200]

= 0.884

P-value = 0.1884

= 0.01

Do not reject , greater