Question

1. n=10,? ̂=36, p=.44, α=.05, H₀: p = .44, H₁: p ≠ .44.
   1. Determine z-score _______
   2. Determine p= ____________
   3. Reject or fail to reject H₀ __________

Answer 1

n=10,= 0.36, p=.44, α=.05, H₀: p = .44, H₁: p ≠ .44.

This is two tailed test.

Test Stat :

=0.44

Determine z-score _-0.5271

p-value = 2P( Z > |Test stat|)

=2P( Z > 0.53)

= 2 * [1 - P(Z < 0.53)]

=2 * (1 - 0.7019) ..................using normal distribution probability tables

Determine p= 0.59611

Since p-value > 0.05

fail to reject H₀ at 5%.

There is insufficient evidence to conclude that true proportion is not 0.44.