Question

a random sample of 857 births included 427 boys. use a 0.01 significance level to test the claim that 51.1% of newborn babies are boys. do the results support the belief that 51.1% of newborn babies are boys? identify the null and alternative hypotheses for this test. choose the correct answer below. oa. ho: p = 0.511 h₁: p < 0.511 ob. ho: p = 0.511 h₁: p > 0.511 oc. ho: p ≠ 0.511 h₁: p = 0.511 od. ho: p = 0.511 h₁: p ≠ 0.511

Explanation:

The null hypothesis \(H_0\) is a statement of equality. Here, the claim is that \(p = 0.511\), so \(H_0:p = 0.511\). The alternative hypothesis \(H_1\) is the statement that the proportion is different from the value in the null hypothesis (since we are just testing if the proportion is equal to \(0.511\) or not, not specifically greater or less than). So \(H_1:p
eq0.511\).

Answer:

D. \(H_0:p = 0.511\), \(H_1:p
eq0.511\)