A health magazine reported that 27% of adult males smoke cigarettes. A competing magazine thinks this claim is false. To test th
is claim, they select 40 adult males at random and record if they smoke cigarettes. They calculate a 95% confidence interval for the proportion of adult males who smoke and find it is 0.22 to 0.28. (a) Interpret the confidence interval.
(b) Calculate the point estimate and margin of error used to create this confidence interval.
Point estimate:___________
Margin of error:___________
(c) Based on the confidence interval, is it plausible that the true proportion of adult males who smoke cigarettes is 27%? Explain.
Given that the number is x, 10% increase will give us a new number of: 110/100*x =1.1x 10% decrease will give us a new number of: 90/100*1.1x =0.99x This implies the new number is less than the original number