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?

Respuesta :

Answer:

The standard error of proportion = 0.0301

Step-by-step 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

                                         [tex]p = \frac{48}{200} = 0.24[/tex]

Standard error of proportion:-

The standard error of proportion

                                              [tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]

                                             [tex]S.E = \sqrt{\frac{0.24(1-0.24)}{200} } = \sqrt{0.000912} = 0.03019[/tex]

Conclusion:-

The standard error of proportion = 0.0301

Answer:

0.0302

Step-by-step explanation: