If the researcher had used a significance level of 1% then (a) the p-value would have decreased
How to get the p value
When the significance level of a hypothesis test is decreased from 5% to 1%, it means that the researcher is becoming more stringent in rejecting the null hypothesis. The significance level (alpha) represents the probability of incorrectly rejecting the null hypothesis when it's actually true.
Decreasing the significance level from 5% to 1% implies that the researcher is requiring stronger evidence against the null hypothesis to reject it. As a result, the critical region for rejection becomes more stringent, and it's harder for the observed data to fall into this region.
question
A researcher performs a right-tailed hypothesis test for the mean of a certain population. The researcher used a significance level of 5%. If the researcher had used a significance level of 1% then
(a) the p-value would have decreased
(b) the p-value would have remained the same
(c) the p-value would have increased
(d) we do not know what effect it would have on the p-value