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?

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

winxgirlryan winxgirlryan · Answer 2 · 2021-04-01T20:02:33+02:00

winxgirlryan winxgirlryan

01-04-2021

Answer:

0.0302

Step-by-step explanation:

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