Math Problem Statement

When testing the claim that the mean weight of African elephants is greater than 2000​ kg, the null hypothesis is rejected. What is the correct wording of the final​ conclusion? Question content area bottom Part 1 Choose the correct answer below. A. There is sufficient evidence to reject the claim that the mean weight of African elephants is greater than 2000 kg. B. There is sufficient evidence to support the claim that the mean weight of African elephants is greater than 2000 kg. C. There is not sufficient evidence to reject the claim that the mean weight of African elephants is greater than 2000 kg. D. There is not sufficient evidence to support the claim that the mean weight of African elephants is greater than 2000 kg.

Solution

The correct answer is:

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

When the null hypothesis is rejected, it means there is enough evidence to support the alternative hypothesis, which in this case is that the mean weight of African elephants is greater than 2000 kg.

Would you like further details on hypothesis testing or have any questions?

Here are five related questions you might find useful:

  1. What are Type I and Type II errors in hypothesis testing?
  2. How do you set up null and alternative hypotheses in hypothesis testing?
  3. What is the significance level, and how does it affect hypothesis testing?
  4. How do you interpret p-values in hypothesis tests?
  5. What are some examples of real-world applications of hypothesis testing?

Tip: Always double-check the context of the hypothesis test to ensure you're correctly interpreting "rejecting" or "failing to reject" the null hypothesis.

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Null Hypothesis
Alternative Hypothesis
Statistical Significance

Formulas

Test Statistic Formula
P-value Calculation
Critical Value Approach

Theorems

Hypothesis Testing Theorem

Suitable Grade Level

Grades 11-12