Question

Newborn babies are more likely to be boys than girls. A random sample found that the sample proportion of boys was 0.57 among 3074 newborn children. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? Here, we want to test H0: LaTeX: p=0.5 p = 0.5 vs. H1: LaTeX: p>0.5 p > 0.5 . What is the value of the z test statistic for these data? Round your answer to two decimal places.

Answer 1

Solution :

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.57 - 0.5 / [(0.5 * 0.5) / 3074]

= 7.76

the value of the z test statistic = 7.76