Question

It’s a Boy Genetics Labs claim their procedures improve the chances of a boy being born. The results for a test of a single population proportion are as follows:

$H_0:p=0.50,H_a:p>0.50$

$\alpha =0.01$

$p$-value$=0.025$.

Interpret the results and state a conclusion in simple, non-technical terms.

Short answer

We do now no longer have sufficient proof to forged severe doubt at the truthfulness of${\mathrm{H}}_0$.

Step-by-step solution

Introduction

Boy Genetics Labs improves their procedure in order to improve the chances of a boy being born.

The results of thetest are as follows:

$H_0:p=0.5,H_a:p\ne 0.5$

$\alpha =0.01$and $p$-value$=0.025$.

It is said that if the p value is greater than the specified alpha value, the null hypothesis is not rejected.

Explanation

Now, we see that

$p$value$=0.025>0.01=\alpha$

Therefore, we will not refuse.

$H_0:\mu =0.5$

It simply means that there is not enough evidence to cast serious suspicion on its credibility of$H_0$