91Ó°ÊÓ

A large candy machine has $=15\%$orange candies

Sample candies $=25$

8 orange candies (that's $32\%$orange)

5 orange candies ( $20\%$orange)$=?$

There are no dots above or below the sample proportion of or $0.32$in figure $7.13$'s dot plot.

This means that obtaining a proportion of $32$is extremely improbable, therefore $8$orange candies are an unexpected result.

The dot plot in figure $7.11$illustrates that the sample proportion of $20\%$, or $0.20$, has a lot of dots above it, indicating that getting a sample proportion of $20\%$is extremely possible; thus, $5$orange candies are not unusual.

A large candy machine has $=15\%$orange candies

Sample candies $=25$

Either Sample of $25$candies in which $32\%$are orange or a sample of $50$candies in which$32\%$are orange is surprising ?

The center of this distribution, according to figure $7.13$, is around $0.15.$

However, three-quarters of this proportion, or $0.32$, does not match the $0.15$population proportion.

It is more odd to receive a sample proportion that is distant from the average for samples with a higher sample size (which contains more information about the population), therefore $32$percent orange candies out of $50$candies is more unexpected.