A customer bought a large bag
of several fun size (mini) bags of Skittles. She decided to open up one of the bags to see how
many purple skittles were in a single fun size bag. She noticed that there were 6 purple out of
24 total in the bag.

Determine , the approximate point
estimate of the population proportion of purple skittles.

A teacher was conducting a study to
about the population proportion of students that wear glasses in his school by investigating samples.
In his classroom 15 out of his 28 students wear glasses.

Based on the samples of size 28,
determine , the approximate standard deviation of the
sampling distribution.

At a department store, there are a total of 62 total employees. 28 of whose
employees work at the store full time. The store manager realizes that she has a sample of 8
cashiers working one night and only 2 of the cashiers were full-time. If the store manager was
conducting a study of the proportion of full-time employees, are the requirements of and met to guarantee the sampling distribution is
relatively normally distributed?

A researcher wishes to conduct a new
study on the proportion of the population of U.S. high school graduates that will immediately enlist
in the military. Last years study suggested it was roughly 2%. What is the minimum
sample size the researcher should use to ensure the distribution of the sample proportions are
relatively normal? (There are approximately 3.2 million U.S. high school graduates each
year.)

In the last few decades, more
females attend college than do males in the U.S. A researcher conducted a simple random sample
of 300 college students in the U.S. and 186 were female.

Construct a 95% confidence interval
for the proportion of U.S. college students that are female.

A political researcher wanted to
know if the candidate, Jack Johnson, who he is working for would win the election. So, he conducted a
random sample of 150 constituents in a voting district of 1,902,000. He found that 90 of the
150 said they were definitely voting for Jack Johnson.

Can you say using a 99% confidence
interval that Jack Johnson will receive at least 52% of the vote?

(Critical value for 99% confidence, )

a.

No, the 99% CI suggests Jack Johnson will receive at least 47.3% of the
vote.

b.

No, the 99% CI suggests Jack Johnson will receive at least 49.7% of the
vote.

c.

Yes, the 99% CI suggests Jack Johnson will receive at least 53.2% of the
vote.

d.

Yes, the 99% CI suggests Jack Johnson will receive at least 56% of the
vote.