Question

A research report says that t(63) = 1.99; p = .03. From that information, can you reject the null hypothesis with 95% confidence? No. Yes. It depends on the sample size. It depends on the size of the Type I error.

Answer 1

Answer:

Yes, we can reject the null hypothesis with 95% confidence.

Step-by-step explanation:

We are given that t(63) = 1.99; p = .03 and confidence level = 0.95

Confidence Level = 95% = 0.95

Significance level ($\alpha$) = 1 - 0.95 = 0.05 or 5%

P- value = 0.03 or 3%

As we know that;

           If p-value < significance level  ⇒ Reject null hypothesis

            If p-value > significance level  ⇒ Accept null hypothesis

Since, P-value is less than significance level as 3% < 5%, so we can reject null hypothesis with 95% confidence.

Answer 2

Answer:

Yes, I can reject the null hypothesis with 95% confidence.

Step-by-step explanation:

Critical value t(63) = 1.99

p-value = 0.03

Confidence level (C) = 95% = 0.95

Significance level = 1 - C = 1 - 0.95 = 0.05

Conclusion:

Reject the null hypothesis because the p-value 0.03 is less than the significance level 0.05.