Question

Two researchers, Jaime and Maria, each construct confidence intervals for the proportion of a population who is left-handed. They find the point estimate is 0.13. Each independently constructs a confidence interval based on the point estimate. Jaime’s interval is (0.097, 0.163) while Maria’s interval is (0.117, 0.173). Which interval is wrong and why?

Answer 1

Explanation:

From data give above we have

Point estimate
`= \hat{p} = 0.13`

Jamie interval = (0.097 , 0.163)

Mariya's interval = (0.117,0.173)

Mean value of jamie interval
`= (0.097+0.163)/(2) = 0.13`

therefore we can say jamie interval is equal to point estimate which is equal to 0.13

Now mean of Mariyah

`(0.117+0.173)/(2) = 0.145`

According to the given calculation, Mariyah interval is wrong due to mean value.