A study of homeless men in the city revealed that out of 242 selected to be...

A study of homeless men in the city revealed that out of 242 selected to be interviewed, 65 had been employed within the last year. Provide a 95% confidence interval for the proportion of all homeless men who had been employed within the past year. Interpret your result.

Solutions

Expert Solution

GIVEN:

Size of homeless men in the city selected to be interviewed

Number of homeless men who are employed within the last year

FORMULA:

The formula for 95% confidence interval for population proportion is,

where is the z critical value at 95% confidence level.

CRITICAL VALUE:

The two tailed z critical value at 95% confidence level is .

CALCULATION:

The sample proportion is given by,

The 95% confidence interval for the proportion of all homeless men who had been employed within the past year is,

The 95% confidence interval for the proportion of all homeless men who had been employed within the past year is . Thus we are 95% confident that the true proportion of all homeless men who had been employed within the past year lies between 0.2127 and 0.3245.

orchestra answered 1 year ago

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