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If n=600 and ˆp=0.1, construct a 95% confidence interval about the population proportion. ROUND ANSWER TO...

If n=600 and ˆp=0.1, construct a 95% confidence interval about the population proportion. ROUND ANSWER TO THREE DECIMAL!

Preliminary:

  1. Is it safe to assume that n≤0.05 of all subjects in the population?
    • Yes
    • No

  2. Verify nˆp(1−ˆp)≥10 = ? ROUND ANSWER TO ONE DECIMAL.

    3. nˆp(1−ˆp)= ?

4. Confidence Interval: What is the 95% confidence interval to estimate the population proportion? ROUND ANSWER TO 3 DECIMAL PLACES!!!!!

5. ??????? < p < ???

Solutions

Expert Solution

Yes, n <= 0.05 N

n ( 1 - ) = 600 * 0.1 * ( 1 - 0.1) = 54 >= 10

95% confidence interval for p is

- Z* sqrt [ ( 1 - ) / n ] < p < + Z* sqrt [ ( 1 - ) / n ]

0.1 - 1.96 * sqrt [ 0.1 * ( 1 - 0.1) / 600] < p < 0.1 + 1.96 * sqrt [ 0.1 * ( 1 - 0.1) / 600]

0.076 < p < 0.124

orchestra answered 2 years ago
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