Question

A noted psychic was testing for ESP. The psychic was presented with 200 cards face down and asked to determine if the card featured one of five symbols: star, cross, circle, square, or three wavy lines. The psychic was correct in 48 cases.

a. If p represents the proportion of correct guesses the psychic made, what is the standard error of p?

Answer 1

0.0302

Explanation:

Answer 2

The standard error of proportion = 0.0301

Explanation:

Explanation:-

a) Given the psychic was presented with 200 cards face down and asked to determine if the card featured one of five symbols: star, cross, circle, square, or three wavy lines.

The sample size 'n' = 200

Given the psychic was correct in 48 cases.

The sample proportion of given data

`p = (48)/(200) = 0.24`

Standard error of proportion:-

The standard error of proportion

`S.E = \sqrt{(p(1-p))/(n) }`

`S.E = \sqrt{(0.24(1-0.24))/(200) } = √(0.000912) = 0.03019`

Conclusion:-

The standard error of proportion = 0.0301