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Probability

Explain whether the differences between what occurred and what you might expect is due to a chance occurence.

a. 500 tosses of a coin you see 30 tails
b. 85% free throw shooter(basketball) makes 24 of 30 freethrows
c. It rains in Phoenix for 5 days in a row in August

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a. 500 tosses of a coin you see 30 tails

for a fair coin the probability of tail=probability of head = 0.5 or 50%

p= 50.00%
q= 50.00%
n= 500
sp=standard error of proportion=square root of (pq/n)= 2.24% =square root of ( 50.% * 50.% / 500)

sample proportion= 6.00% =30/500

z=(sample proportion-population proportion)/ standard error= -19.6429 =(6.%-50.%)/2.24%

P(z) ...

Solution Summary

Explains whether the differences between what occurred and what you might expect is due to a chance occurence.

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