Math / Data & Statistics

QuestionBased on historical data in Oxnard college, we believe that $45 \%$ of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be $98 \%$ confident that your estimate is within $3.5 \%$ of the true population proportion. How large of a sample size is required? Do not round mid-calculation. $n=$

Studdy Solution
Calculate the sample size:
$n = \left( \frac{5.4289 \cdot 0.45 \cdot 0.55}{0.001225} \right)$
$n = \left( \frac{1.3446225}{0.001225} \right)$
$n \approx 1097.57$
Since the sample size must be a whole number, round up to the nearest whole number:
$n = 1098$
The required sample size is:
$\boxed{1098}$

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