Answered

If a sample proportion is 0.55, which of the following could be a 90% confidence interval for the population proportion? Select all that apply.
(a) Lower bound: 0.50; Upper bound: 0.60 (b) Lower bound: 0.53; Upper bound: 0.59 (c) Lower bound: 0.52; Upper bound: 0.58 (d) Lower bound: 0.60; Upper bound: 0.70 (e) Lower bound: 0.45; Upper bound: 0.60​

Answer :

Answer:

The correct options are a and c.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.

Sample proportion is 0.55

So options for the confidence interval are:

Lower bound - upper bound

0.54 - 0.56

0.53 - 0.57(which means that option b is wrong)

0.52 - 0.58(which means that option c is right)

...

0.5 - 0.6(which means that option a is right).

The correct options are a and c.

fichoh

The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C

Hence, the upper and lower boundary would the same error value above and below the mean proportion.

Evaluating the options given :

Error below = 0.50 - 0.55 = -0.05

Error above = 0.60 - 0.55 = 0.05

Error below = 0.53 - 0.55 = -0.02

Error above = 0.59 - 0.55 = 0.04

Error below = 0.52 - 0.55 = -0.03

Error above = 0.58 - 0.55 = 0.03

Error below = 0.60 - 0.55 = 0.05

Error above = 0.70 - 0.55 = 0.15

Error below = 0.45 - 0.55 = -0.10

Error above = 0.60 - 0.55 = 0.05

Therefore, the only options with equal margin of error, above and below the mean are options A and C.

Learn more : https://brainly.com/question/15111061

Other Questions