A two-tailed t-test of the null hypothesis that the population mean differs from zero has a p-value of 0.0275. Using a significance level of 5%, the most appropriate conclusion is: A. reject the null hypothesis. B. accept the null hypothesis. C. the chosen significance level is too high. Answer = AA is correct. The p-value is the smallest level of significance at which the null hypothesis can be rejected. In this case, the given p-value is less than the given level of significance and we reject the null hypothesis. Just wondering: When they quote p-value, do we assume 2 sided p-values ? Because i took 5% sig level and divdided by 2, and answered B instead of A. Since 0.0275 < 0.025.

since it is two tailed test divide both values by 2 and you will get p-value=.0275/2=0.01375 which is less than CV, 0.05/2=0.025. since pv<cv i.e. 0.01375<0.025, reject the null hypothesis. That’s it…