A1 to A173 are random M or W MMen WWomen Lets assume M83 and

A1 to A173 are random (M or W)

M=Men, W=Women.

Let\'s assume, M=83, and W=90. Please give the formula with explaination of the answer. Thank you!

Solution

hypothesized proportion of male births = 0.52...

now, sample proportion = 83 / 173 = 0.4797688...

z-score for 90% confidence interval = + or - 1.644854......

standard error = sqrt [ 0.52 * ( 1- 0.52) / 173 ] = 0.03798387.....
lower limit = [ 0.52 - ( 0.03798387 * 1.644854) ] = 0.4575221...
upper limit = [ 0.52 + ( 0.03798387 * 1.644854) ] =  0.5824779...

the observed proportion = 0.4797688 which is inside this interval.
hence, yes we ACCEPT H0!