Question

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

H0: p=0.79 versus H1: p≠0.79

n=500, x=390, α=0.1

Now find p.

p=________

​(Type an integer or a decimal. Do not​ round.)

Answer 1

Solution :

Given that,

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.79

H_a : p 0.79

n = 500

x = 390

= x / n = 390 / 500 = 0.78

P₀ = 0.79

1 - P₀ = 1 - 0.79 = 0.21

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

=0.78 - 0.79 / [0.79 * 0.21 / 500 ]

= - 0.549

Test statistic = z = - 0.549

P-value = 0.583

= 0.01

P-value ≥

0.583 ≥ 0.01

Do not Reject the null hypothesis .

There is insufficient evidence to suggest that .