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Aleks04 [339]
3 years ago
5

A random sample of 5200 permanent dwellings on an entire reservation showed that 1571 were traditional hogans.

Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

Given that

A random sample of 5200 permanent dwellings on an entire reservation showed that 1571 were traditional hogans.

Sample proportion p = \frac{1571}{5200} =0.3021

p follows a normal distribution with mean = 0.3021 and variance

=\frac{pq}{n} =\frac{0.3021(0.3677)}{5200} =0.00002136

std dev of p=0.00462

For 99% confidence level we use Z critical value 2.58

Margin of errror = 2.58 (std error) =0.0119

Confidence interval lower bound = 0.3021-0.0119 =0.2902

Upper bound = 0.3021+0.0119 =0.3140

quester [9]3 years ago
4 0
P^ = 1571/5200 = 0.3021

99% C I = 0.3021 + or - 2.58sqrt((0.3021(1 - 0.3021))/5200) = 0.3021 + or - 0.0064 = 0.296 to 0.309
lower limit = 0.296
upper limit = 0.309
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