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

Is np01−p0 ≥ 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.)

A. ​No, because np0 (1−p0) = ________.

B. ​Yes, because np0 (1−p0) = _________.

Answer 1

SOLUTION:

From given data,

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

Is np₀ (1−p₀ ) ≥ 10​? Select the correct choice below and fill in the answer box to complete your choice.

Is np₀ (1−p₀ ) ≥ 10

np₀ (1−p₀ ) = 500*0.79(1−0.79 )

np₀ (1−p₀ ) = 500*0.79*0.21

np₀ (1−p₀ ) = 82.95

​Yes, because np₀ (1−p₀) = 82.95

Answer : Option (B) is correct