Question

Can someone explain why the answer is B please?

Exercise The p-value for a two-sided test of the null hypothesis, Ho: u = 10 was found to be 0.06. Therefore, using the same data, A) a 90% confidence interval would contain the value of 10. B) a 95% confidence interval would contain the value of 10. C) Both 90% and 95% confidence interval would contain the value of 10. D) Neither 90% nor 95% confidence interval would contain the value of 10.

Answer 1

Given,

P_value = 0.06

also Ho :

u= 10

We know that,

If P_value >  $\alpha$ then we can not reject the null hypothesis.

Here, P_value > 0.05 ,

We can not reject the null hypothesis at alpha=0.05.

Also 95% confidence interval would contain the true parameter value.

Here true parameter value is 10.

It means that, for this problem we can say that 95% confidence interval contain the value of 10.

Therefore,option (B) is correct.