Questions: Does the 90% confidence interval you constructed contradict the claim from the study?
Choose the best answer from the choices below.
No, the confidence interval does not contradict the claim. The proportion 0.3 from the study is inside the 90% confidence interval.
No, the confidence interval does not contradict the claim. The proportion 0.3 from the study is outside the 90% confidence interval.
Yes, the confidence interval contradicts the claim. The proportion 0.3 from the study is inside the 90% confidence interval.
Yes, the confidence interval contradicts the claim. The proportion 0.3 from the study is outside the 90% confidence interval.
Transcript text: (c) Does the $90 \%$ confidence interval you constructed contradict the claim from the study?
Choose the best answer from the choices below.
No, the confidence interval does not contradict the claim. The proportion 0.3 from the study is inside the $90 \%$ confidence interval.
No, the confidence interval does not contradict the claim. The proportion 0.3 from the study is outside the $90 \%$ confidence interval.
Yes, the confidence interval contradicts the claim. The proportion 0.3 from the study is inside the $90 \%$ confidence interval.
Yes, the confidence interval contradicts the claim. The proportion 0.3 from the stüdy is outside the $90 \%$ confidence interval.
Solution
Solution Steps
Step 1: Identify the 90% Confidence Interval
The 90% confidence interval is given as (0.321, 0.579).
Step 2: Identify the Proportion from the Study
The proportion from the study is 0.3.
Step 3: Determine if the Proportion is Inside the Confidence Interval
Check if 0.3 is within the interval (0.321, 0.579). Since 0.3 is less than 0.321, it is outside the interval.
Final Answer
Yes, the confidence interval contradicts the claim. The proportion 0.3 from the study is outside the 90% confidence interval.