Question

Your friend claims that he averages a 95% on his exams. You want to test his claim.

Identify the null hypothesis. (h_0 and h_a)


Identify the alternative hypothesis.

A hypothesis test is conducted at the 7% significance level. If the p-value is 0.049, what conclusion should be drawn?
A. You cannot conclude that your friend doesn't average a 95% on his exams.
B. You conclude that your friend doesn't average a 95% on his exams.

Answer 1

To test your friend's claim about his average exam score, we can set up the hypotheses as follows:

**Null Hypothesis (H0):** Your friend's average exam score is 95%.
Mathematically, this can be stated as:
H0: μ = 95

**Alternative Hypothesis (Ha):** Your friend's average exam score is not 95%.
Mathematically, this can be stated as:
Ha: μ ≠ 95

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Given a significance level of 7% (α = 0.07) and a p-value of 0.049, we can make a decision.

**Conclusion:**
Since the p-value (0.049) is less than the significance level (0.07), we reject the null hypothesis (H0).

Therefore, the correct answer is:
**B. You conclude that your friend doesn't average a 95% on his exams.**