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In a survey for a sample of 300 individuals, 180 persons gave responses 'Yes' and 100 gave responses 'No' and 20 gave "No response". Then point estimate of proposition in the population who responded "Yes" is

Solution

✅ Correct Option: 3

The point estimate of proportion is calculated as the number with the characteristic divided by the total sample size.

Given information:

Total sample size = 300 individuals

"Yes" responses = 180 persons

"No" responses = 100 persons

"No response" = 20 persons


The point estimate uses the total sample size of 300 (not 280) in the denominator. The 20 individuals who gave no response are still part of the sample and represent a segment of the population.

Point Estimate =Number of "Yes" responsesTotal sample size= \dfrac{\text{Number of "Yes" responses}}{\text{Total sample size}}

Point Estimate =180300= \dfrac{180}{300}

Point Estimate =0.6= 0.6


The point estimate of the proportion in the population who responded "Yes" is 0.60.6 or 60%60\%.

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