Question

a fraction defactive of no more than 0.04 i random sample size of 195 yields 40 defects. What is the value of the test statistic?

Answer 1

Solution :

Given that,

= 0.04

1 - = 0.96

n = 195

x = 40

Level of significance = = 0.0

Point estimate = sample proportion = = x / n = 0.205

Test statistic

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

= ( 0.205 - 0.04) / (0.04*0.96) / 195

= 11.758