Question

1) If n = 250 and ˆ p = .44 , find a 95% confidence interval....

1) If n = 250 and ˆ p = .44 , find a 95% confidence interval.

  • [0.378, 0.502]
  • [0.438, .442]
  • [0.388, .492]
  • [0.436, 0.444]

2) Which of the following is a condition for the sample proportion to be normally distributed?

  • n≥30n≥30
  • n≥10n≥10
  • np(1−p)≥10
  • np(1−p)≥30
Math   Statistics-And-Probability   
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Answer #1

using excel>addin>phstat>confidence interval

we have

Confidence Interval Estimate for the Proportion
Data
Sample Size 250
Number of Successes 110
Confidence Level 95%
Intermediate Calculations
Sample Proportion 0.44
Z Value -1.9600
Standard Error of the Proportion 0.0314
Interval Half Width 0.0615
Confidence Interval
Interval Lower Limit 0.378
Interval Upper Limit 0.5015

1) a 95% confidence interval.

  • [0.378, 0.502]

2) the condition for the sample proportion to be normally distributed is

  • np(1−p)≥10
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