A company is criticized because only 16 of 46 executives at

A company is criticized because only 16 of 46 executives at a local branch are women. The company explains that although this proportion is lower than it might wish, it

Solution

sigma = sqrt((0.4*0.6)/46) = 0.0722

P-value:

= P( z < ((16/46)-0.4)/0.722))

=P(z<-0.722)

=normal df (-100 , -0.722)

=0.2358

Data only for this company, cannot generalize to others.

H0: p = 0.40

Ha: p < 0.40 one tail test, to left

z = -0.7221

P-value = 0.2358,

The P-value is not small, it is large enough to not reject the null hypothesis.

These data do not show that the proportion of women executives is less than the 40% of women in the company in general.