Question

A genetics institute conducted clinical trials of a fertility method designed to increase the probability of conceiving a boy. Among 154

babies born to parents using the fertility​ method,

127

were boys. Calculate the margin of error and the​ 95% confidence interval for these clinical trials.

Answer 1

Solution :

Given that,

n = 154

x = 127

Point estimate = sample proportion = = x / n = 127 / 154 = 0.825

1 - = 1 - 0.825 = 0.175

At 95% confidence level

= 1 - 95%

=1 - 0.95 =0.05

/2 = 0.025

Z/2 = Z_{0.025 = 1.960}

Margin of error = E = Z _{/ 2} * (( * (1 - )) / n)

E = 1.96 (((0.825 * 0.175) / 154)

E = 0.060