Suppose the proportion of all college students who have used marijuana in the pa

Question

Suppose the proportion of all college students who have used marijuana in the past 6 months is p = 0.40. In a class of 200 students that are representative of all college students, would it be unusual for the proportion who have used marijuana in the past 6 months to be less than 0.32?

a) Yes, because the sample proportion is more than 2 standard deviations from the population proportion.

b) No, because the sample proportion is more than 2 standard deviations from the population proportion.

c) No, because the sample proportion is less than 2 standard deviations from the population proportion.

d) Yes, because the sample proportion is less than 2 standard deviations from the population proportion.

Explanation / Answer

standard error = sqrt( p * (1-p) / n)

= sqrt( 0.4 * (1-0.4) / 200)

= 0.035

95% of the data lies within 2 standard deviation

hence it not unusual since 0.32 is within in standard deviation

hence choose C)

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