Question

PLZZZ HURRY

A sample with a sample proportion of 0.4 and which of the following sizes
will produce the widest 95% confidence interval when estimating the
population parameter?
A. 90
B. 60
C. 75
D. 120

Answer 1

B



- Harvard university professor

Answer 2

The size 60 will produce the widest 95% confidence interval when estimating the population parameter.

What is confidence interval?

'A confidence interval is the mean of your estimate plus and minus the variation in that estimate.'

According to the given problem,

IN a sample with n number of people surveyed with a probability of a success of $\pi$ and a confidence level of 1-α , we have the following confidence interval of proportions.

$\pi$ ± $z\sqrt{\frac{\pi (1-\pi )}{n} }$

In which, z is the z score that has a p value of 1 -(α/2)

The margin of error is:

M = z $\sqrt{\frac{\pi (1-\pi )}{n} }$

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want, the widest possible interval, we should select the smallest possible confidence interval.

Hence, we can conclude that 60 is the correct answer.

Learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ2