Question

1. what does failing to reject the null hypothesis imply?

a. the null hypothesis is proven true beyond a doubt
b. the alternative hypothesis is definitely false
c. there was a calculation error in determining the p - value
d. there isnt sufficient evidence to support the alternative hypothesis

Explanation:

• In hypothesis testing, failing to reject the null hypothesis does not prove it true (so option a is wrong).
• It also does not mean the alternative hypothesis is definitely false (so option b is wrong).
• It is not about a calculation error in the p - value (so option c is wrong).
• Hypothesis testing is based on evidence. When we fail to reject the null hypothesis, it means that, based on the sample data and the test conducted, there isn't enough evidence to support the alternative hypothesis.

Answer:

d. There isn't sufficient evidence to support the alternative hypothesis