Likely or Unlikely

1.  If you take a random sample of size 20 from a population with 40% yeses, will each sample proportion below be a likely or unlikely sample proportion?
a. .4
b.  .65
c.  .2
d.  .9
e.  .35

2.  For a random sample of size 20 from a population with 40% yeses, tell whether each result below gives a likely or unlikely sample proportion.
a.  20 yes, 0 no
b.  12 yes, 8 no
c.  10 no
d.  12 no
e.  4 yes
f.  0 yes
g.  7 yes

3.  Sixty percent of households watch cable TV.  Out of a sample of 100 people is it likely or unlikely that the number of cable TV viewers is
a.  40
b.  50
c.  60
d.  70
e.  80

4.  Eighty percent of households in rural areas own a dog.  Out of a sample of 40 people is it likely or unlikely that 36 people own a dog.

5.  About 80% of Americans are against paying highter taxes for defense.  If we obtain a random sample of 20 Americans and ask each person if he or she is against paying higher taxes for defense, what are the likely sample proportions?  What are the likely numbers of people?

6.  A movie critic thought that probably 60% of people in a certain town had seen a popular movie already.  When he asked a sample of 20 people, he found that only 9 people had seen it.  Was he wrong in his guess?  Why?

7.  Imagine you are taking a true-false test about the Byzantine civil service system.  For each of the 20 questions, you discreetly flip a coin and answer accordingly.  What possible scores are you likely to get?

8.  A random sample of size 80 contains a sample proportion of .4 yeses.  Which population percentages are likely?

9.  A random sample of 100 lower and middle class boys found that 8 had conduct disroders, such as stealing and fighting.  For which population percentages is this a likely sample proportion?

10.  The same study also investigated about 100 lower and middle class boys with symptoms of hyperactivity.  Of the boys in this sample, a proportion of .27 had conduct discorders.  For which population percentages is this a likley sample proportion?