In an ESP experiment, a subject is asked to guess randomly generated numbers fro

Question

In an ESP experiment, a subject is asked to guess randomly generated numbers from 1 to 10. In 900 guesses, the subject guesses correctly 102 times. If the subject is merely guessing, he should guess correctly times. The standard error (SE) is. Compute the z-test statistic for 102. Find the observed significance level or P-value of the statistic(answer in decimal form). Let's reject the null hypothesis if the P-value is less than 5 percent. In this problem, should you reject the null hypothesis that the subject is merely guessing and any variation is due to chance? Enter yes or no.

Explanation / Answer

1) In an ESP experiment, a subject is asked to guess randomly generated numbers from 1 to 10. In 900 guesses, the subject guesses correctly 102 times.

a) If the subject is merely guessing, he should guess correctly 90 times.

Expectation = np = 90

Variance = np(1 - p) = 81

Standard deviation = 9

b) The standard error (SE) is 9 . (Hint: This is the standard error for the sum.)

c) Compute the z-test statistic for 102.

Z=(102-90)/9= 1.33

d) Find the observed significance level or P-value of the statistic(answer in decimal form). ______ .

P=0.1836

e) Let's reject the null hypothesis if the P-value is less than 5 percent. In this problem, should you reject the null hypothesis that the subject is merely guessing and any variation is due to chance? Enter yes or no.

No

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