A professor sampled 46 students from a large university to obtain a 95% confidence interval for the proportion of students in favor of raising ASB fees. The interval was (0.356, 0.397). If the professor had used a 90% confidence interval instead, the confidence interval would have been... A) Wider and would have a smaller chance of missing the true proportion. B) Narrower and would have a larger chance of missing the true proportion. C) Narrower and would have a smaller chance of missing the true proportion. D) Wider and would have a larger chance of missing the true proportion.

MATLAB: An Introduction with Applications
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A professor sampled 46 students from a large university to obtain a 95% confidence interval
for the proportion of students in favor of raising ASB fees. The interval was (0.356, 0.397). If
the professor had used a 90% confidence interval instead, the confidence interval would have
been ...
A) Wider and would have a smaller chance of missing the true proportion.
B) Narrower and would have a larger chance of missing the true proportion.
C) Narrower and would have a smaller chance of missing the true proportion.
D) Wider and would have a larger chance of missing the true proportion.
Transcribed Image Text:A professor sampled 46 students from a large university to obtain a 95% confidence interval for the proportion of students in favor of raising ASB fees. The interval was (0.356, 0.397). If the professor had used a 90% confidence interval instead, the confidence interval would have been ... A) Wider and would have a smaller chance of missing the true proportion. B) Narrower and would have a larger chance of missing the true proportion. C) Narrower and would have a smaller chance of missing the true proportion. D) Wider and would have a larger chance of missing the true proportion.
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