Question
In: Statistics and Probability
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 2 years agoRelated Solutions
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