When testing the claim that the mean weight of African elephants is equal to 2000​ kg, there is not sufficient evidence to reject the null hypothesis. What is the correct wording of the final​ conclusion?

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Part 1

Choose the correct answer below.

A.

There is not sufficient evidence to warrant rejection of the claim that the mean weight of African elephants is equal to 2000 kg.

B.

There is sufficient evidence to support the claim that the mean weight of African elephants is equal to 2000 kg.

C.

There is not sufficient evidence to support the claim that the mean weight of African elephants is equal to 2000 kg.

D.

There is sufficient evidence to warrant rejection of the claim that the mean weight of African elephants is equal to 2000 kg.

The correct answer is:

**A. There is not sufficient evidence to warrant rejection of the claim that the mean weight of African elephants is equal to 2000 kg.**

### Explanation:
Since there is not enough evidence to reject the null hypothesis, we cannot conclude that the mean weight is different from 2000 kg. Thus, the correct conclusion is to state that we do not have sufficient evidence to reject the claim, rather than implying any support for it.

Would you like more details, or do you have any questions about hypothesis testing?

### Related Questions:
1. What is the difference between "not rejecting" the null hypothesis and "accepting" the null hypothesis?
2. How does the p-value relate to the decision to reject or not reject a hypothesis?
3. What are Type I and Type II errors in hypothesis testing?
4. How would increasing the sample size impact the power of the hypothesis test?
5. How does setting a lower significance level affect the test's outcome?

### Tip:
Remember, "not sufficient evidence to reject" does not imply that the null hypothesis is true, only that we don't have enough proof to conclude otherwise.

When testing the claim that the mean weight of African elephants is equal to 2000 kg, there is not sufficient evidence to reject the null hypothesis. What is the correct wording of the final conclusion?

Learn how to interpret the results of hypothesis testing, specifically when testing claims about the mean weight of African elephants. This problem discusses the proper conclusion when there is not enough evidence to reject the null hypothesis. Ideal for students in Grades 10-12 studying statistics.

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