An animal activist group collected data on a sample of 70 male dogs from the various shelter thru the state. Of the 70 male dogs 42 came to the shelter as strays. The group want help to construct a 95% confidence interval for the population proportion of male dogs who come to shelter as strays. find the 95% confidence interval.
Given that, n = 70 and x = 42
=> sample proportion = 42/70 = 0.6
A 95% confidence level has significance level of 0.05 and critical value is,
The 95% confidence interval for the population proportion is,
Therefore, a 95% confidence interval for the population proportion of male dogs who come to shelter as strays is (0.4852, 0.7148).
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