Question

a random sample of 857 births included 427 boys. use a 0.01 significance level to test the claim that 51.1% of new babies are boys. do the results support the belief that 51.1% of newborn babies are boys? d. fail to reject h₀. there is not sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. do the results support the belief that 51.1% of newborn babies are boys? a. the results do not support the belief that 51.1% of newborn babies are boys; the results merely show that there is not strong evidence against the rate of 51.1%. b. the results support the belief that 51.1% of newborn babies are boys because there was sufficient evidence to show that the belief is true. c. the results do not support the belief that 51.1% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue. d. the results support the belief that 51.1% of newborn babies are boys because there was no evidence to show that the belief is untrue.

Explanation:

When we fail to reject the null hypothesis (\(H_0\)) in a hypothesis - test, it does not mean that we have proven the null hypothesis to be true. It simply means that there is not enough evidence to reject it. In hypothesis - testing, we can only provide evidence against the null hypothesis, not in favor of it in a strict sense.

Answer:

A. The results do not support the belief that 51.1% of newborn babies are boys; the results merely show that there is not strong evidence against the rate of 51.1%.