Question

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

Upper H 0 : p = 0.93 versus Upper H 1 : p not equals 0.93

n=500, x=450, a=0.05

Now find p ^  (Type an integer or a decimal. Do not​ round.)

Find the test statistic z0. (Type an integer or a decimal. Do not​ round.)

Find P-value (Type an integer or a decimal. Do not​ round.)

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.93

H_a : p 0.93

= x / n = 450 / 500 = 0.9

P₀ = 0.93

1 - P₀ = 0.07

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.9 - 0.93 / [(0.93 * 0.07) / 500]

= -2.629

P(z < -2.629) = 0.0043

P-value = 2 * 0.0043 = 0.0086