Question

The following is on fish populations. Recent data show that 0.34 of fish are female in...

The following is on fish populations. Recent data show that 0.34 of fish are female in the sample of 120 from one pond. What is the confidence interval for the population proportion based on the estimate? (We are testing at the 95% confidence level)

SD = 0.16
Math   Statistics-And-Probability   
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Answer #1

Given that,

= 0.34

1- = 1-0.34 = 0.66

n = 120

At 95% confidence interval,

Z/2 = 1.960

95% confidence interval = Z/2 * √((1-)/n)

= 0.34 1.96 * √(0.34*0.66/120)

= 0.34 0.085

= (0.255, 0.425)

Therefore, the 95% confidence interval for the population proportion based on the estimate is between 0.255 and 0.425.

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