Question```latex
State the conclusion. Choose the correct answer below.
A. Reject . There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
B. Reject . There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
C. Do not reject . There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
D. Do not reject . There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hello! It looks like you've captured a math problem related to hypothesis testing. However, the critical information needed to choose the correct conclusion is missing. Could you please provide the test statistic, p-value, or any significance level used for this hypothesis test? With that information, I can help determine the correct conclusion for the problem.
P value= 0.0000
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Studdy Solution
STEP 1
1. The null hypothesis () states that half or more of all teenagers feel that grades are the greatest source of pressure.
2. The alternative hypothesis () claims that fewer than half of all teenagers feel that grades are the greatest source of pressure.
3. The p-value is given as 0.0000.
4. A typical significance level () is 0.05 unless otherwise specified.
STEP 2
1. Compare the p-value to the significance level.
2. Decide whether to reject or not reject the null hypothesis.
3. State the conclusion based on the decision.
STEP 3
Compare the p-value to the significance level:
Given p-value:
Typical significance level:
Since , the p-value is less than the significance level.
STEP 4
Since the p-value is less than the significance level, we reject the null hypothesis ().
STEP 5
Based on rejecting the null hypothesis, we conclude:
There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
The correct answer is:
A. Reject . There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
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