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nata0808 [166]
3 years ago
10

We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent

governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of +/-0. 06 at 95% confidence?.
SAT
1 answer:
Lunna [17]3 years ago
5 0

Using the appropriate sample size formula, the minimum number of samples required is 267

<u>Using</u><u> </u><u>the</u><u> </u><u>relation</u><u> </u><u>:</u>

  • N = [(Z² × pq) / e²]
  • e = Error Margin = 0.06² = 0.0036
  • p = 0.5
  • q = 1 - 0.5 = 0.5
  • Zcritical at 95% = 1.96

<u>Substituting the values into the equation</u> :

N = [(1.96² × (0.5 × 0.5)) / 0.0036]

N = (0.9604 / 0.0036)

N = 266.777

N = 267

Hence, the minimum number of samples required is 267

Learn more : brainly.com/question/25587684

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