Question

A researcher has boiled her hypothesis test down to the following information.

H0: p=0.7, Ha: p<0.7, α=0.03
x=155, n=232

Find the p-value.

Answer 1

Solution :

Given that,

= 0.7

1 - = 0.3

n = 232

x = 155

Level of significance = = 0.0

Point estimate = sample proportion = = x / n = 0.668

This a left- tailed test.

Test statistics

z = ( - ) / *(1-) / n

= ( 0.668 - 0.7) / (0.7*0.3) / 232

= -1.06

P-value = P(Z < z )

= P(Z < -1.06 )

= 0.1445

The p-value. is 0.1445