Hi...

I need understanding some of the conceptual based problems in the Hypothesis testing...

--->Is it true if the p-value = .058 and the significance level is .05, then we accept the null hypothesis.

I think here we are going to use the rejection rule: if alpha(significance level) < .05 then p-value<alpha

Mr F says: The p-value is the probability of getting the data given that H0 is true ....... For a 0.05 significance level, if p-value < 0.05 you reject H0, if p-value > 0.05 you do not reject H0.
---> H0: mu = 52 and HA: mu < > 52

then, If we reject the above null hypothesis at the .05 significance level, then 52 is not in our 95% Confidence Interval for mu.

Mr F says: Correct.
---> If the 90% confidence interval for the difference between two population proportions contains zero, then we cannot conclude that the proportions are different.

Mr F says: Correct, provided your level of significance is 0.1.
Thanks for the help!