Question

a random sample of 836 births included 430 boys. use a 0.05 significance level to test the claim that 50.5% of newborn babies are boys. do the results support the belief that 50.5% of newborn babies are boys? identify the null and alternative hypotheses for this test. choose the correct answer below. a. ( h_{0}: p = 0.505 ) ( h_{1}: p
eq 0.505 ) b. ( h_{0}: p = 0.505 ) ( h_{1}: p < 0.505 ) c. ( h_{0}: p
eq 0.505 ) ( h_{1}: p = 0.505 ) d. ( h_{0}: p = 0.505 ) ( h_{1}: p > 0.505 )

Explanation:

Step1: Understand null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of equality. The alternative hypothesis \(H_1\) is the claim we test against the null. Here, the claim is about a proportion. Since we are testing if the proportion is different from \(0.505\) (two - tailed test), the null hypothesis is \(H_0:p = 0.505\) and the alternative is \(H_1:p
eq0.505\).

Answer:

A. \(H_0:p = 0.505\), \(H_1:p
eq0.505\)