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horsena [70]
3 years ago
6

Determine the area under the standard normal curve that lies to the left of ​(a) upper z equals 0.02 comma ​(b) upper z equals n

egative 0.19​, ​(c) upper z equals negative 0.38​, and ​(d) upper z equals negative 1.74

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0
A) 0.50798
b) 0.42465
c) 0.35197
d) 0.040930

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Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

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Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

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Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

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