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A physical education professor claims that 35% of third-grade children can do a handstand. If this claim is true:

a. Find the probability that 10 or more third-grade children out of a random sample of 25 can do a handstand.

i. Use the exact binomial distribution.

ii. Use the normal distribution without a continuity correction.

iii. Use the normal distribution with a continuity correction.

b. Find the probability that 40 or more third-grade children out of a random sample of 100 can do a handstand.

i. Use the normal distribution without a continuity correction.

ii. Use the normal distribution with a continuity correction.

c. Based on the results of parts a and b, is the correction for continuity more important in large or in small samples?

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