The answer is 709
Z for 90% confidence interval = Z0.05 = 1.645
a) p = 0.38
Margin of error = Z0.05 [tex]\times[/tex][tex]\sqrt{(p\times (1 - p) / n)}[/tex]
or, 0.03 = 1.645 [tex]\times[/tex][tex]\sqrt{(0.38 \times0.62 / n)}[/tex]
or, n = 708.4
or, n = 709
What is Margin of error ?
- A margin of error is a statistical metric that accounts for the gap between actual and anticipated survey findings in a random sample. In layman's words, the margin of error measures the degree of unpredictability in data and study results.
- A margin of error indicates how many percentage points your results will deviate from the true population figure.
- A 95% confidence interval with a 4% margin of error, for example, suggests that your statistic will be within 4 percentage points of the true population figure 95% of the time.
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