$\text { Find the required sample size without making a guess for the observed value of } \hat { p } \text {. }$
-A manufacturer of kitchen utensils wishes to estimate the proportion of left handed people in the population. Obtain a sample size that will ensure a margin of error of at most 0.046 for a 93%
Confidence interval.
A)1549
B)18
C)10
D)388

Question

$\text { Find the required sample size without making a guess for the observed value of } \hat { p } \text {. }$
-A manufacturer of kitchen utensils wishes to estimate the proportion of left handed people in the population. Obtain a sample size that will ensure a margin of error of at most 0.046 for a 93%
Confidence interval. 
A)1549
B)18
C)10
D)388

Quizplus · Accepted Answer

To find the sample size without an initial guess for $\hat{p}$, use $\hat{p} = 0.5$ for maximum variability. The formula for sample size $n$ is $n = \left(\frac{Z \cdot \sqrt{0.5 \cdot 0.5}}{E}\right)^2$, where $Z$ is the Z-score for 93% confidence (approximately 1.81) and $E$ is the margin of error (0.046). Calculating this gives approximately 388.

Find the required sample size without making a guess for the observed value of p^. \text { Find the required sample size without making a guess for the observed value of } \hat { p } \text {. } Find the required sample size without making a guess for the observed value of p^​.

$\text { Find the required sample size without making a guess for the observed value of } \hat { p } \text {. }$