Question

a random sample of 870 births included 430 boys. use a 0.10 significance level to test the claim that 51.3% of newborn babies are boys. do the results support the belief that 51.3% of newborn babies are boys? identify the null and alternative hypotheses for this test. choose the correct answer below. ○ a. ( h_{0}: p = 0.513 ) ( h_{1}: p>0.513 ) ○ b. ( h_{0}: p
eq0.513 ) ( h_{1}: p = 0.510 ) ○ c. ( h_{0}: p = 0.513 ) ( h_{1}: p
eq0.513 ) ○ d. ( h_{0}: p = 0.513 ) ( h_{1}: p<0.513 )

Explanation:

Step1: Understand null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of equality. The claim is that \(p = 0.513\), so \(H_0:p = 0.513\).
The alternative hypothesis \(H_1\) is the statement that the parameter is different from the value in \(H_0\) (since we are just testing the claim without prior direction of inequality). So \(H_1:p
eq0.513\).

Answer:

C. \(H_0:p = 0.513\), \(H_1:p
eq0.513\)