During routine screening, a doctor notices that 22% of her adult patients show h

Question

During routine screening, a doctor notices that 22% of her adult patients show higher than normal levels of glucose in their blood, a possible warning signal for diabetes. Hearing this, the medical research team at her hospital decide to conduct a large-scale study to estimate the proportion of patients with higher than normal levels of glucose in their blood. They assume the sample proportion is still 22% and the confidence level is 98%. How many adults must they test, if they want the margin of error to be 4%?

Question 18 options:

601

None of these answers

581

847

413

601

None of these answers

581

847

413

Explanation / Answer

P = 0.22

At 98% Confidence interval the critical value is 2.33

Margin of error = 0.04

Or, z* * sqrt (P * (1 - P )/n) = 0.04

Or, 2.33 * sqrt(0.22 * 0.78 /n) = 0.04

Or, sqrt (n) = 2.33 * sqrt(0.22 * 0.78)/0.04

Or, sqrt(n) = 24.13

Or, n = 582

Option-C is the correct answer.

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