## A USA Today article claims that the proportion of people who believe global warming is a…

A USA Today article claims that the proportion of people who
believe global warming is a serious issue is 0.73, but given the
number of people you’ve talked to about this same issue, you
believe it is different from 0.73. The hypotheses for this test are
Null Hypothesis: p = 0.73, Alternative Hypothesis: p ≠ 0.73. If you
randomly sample 21 people and 12 of them believe that global
warming is a serious issue, what is your test statistic and
p-value?

Question 7 options:

 1) Test Statistic: 1.637, P-Value: 0.102
 2) Test Statistic: -1.637, P-Value: 0.898
 3) Test Statistic: -1.637, P-Value: 0.051
 4) Test Statistic: -1.637, P-Value: 0.949
 5) Test Statistic: -1.637, P-Value: 0.102

Question 8 (1 point)

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
less than 0.8, a claim you would like to test. The hypotheses for
this test are Null Hypothesis: p ≥ 0.8, Alternative Hypothesis: p
< 0.8. If you randomly sample 20 players and determine that 13
of them have a batting average higher than .300, what is the test
statistic and p-value?

Question 8 options:

 1) Test Statistic: 1.677, P-Value: 0.953
 2) Test Statistic: -1.677, P-Value: 0.094
 3) Test Statistic: -1.677, P-Value: 0.953
 4) Test Statistic: 1.677, P-Value: 0.047
 5) Test Statistic: -1.677, P-Value: 0.047

Question 9 (1 point)

As of 2012, the proportion of students who use a MacBook as
their primary computer is 0.33. You believe that at your university
the proportion is actually less than 0.33. The hypotheses for this
scenario are Null Hypothesis: p ≥ 0.33, Alternative Hypothesis: p
< 0.33. You conduct a random sample and run a hypothesis test
yielding a p-value of 0.7816. What is the appropriate conclusion?
Conclude at the 5% level of significance.

Question 9 options:

 1) The proportion of students that use a MacBook as their primary computer is significantly less than 0.33.
 2) We did not find enough evidence to say a significant difference exists between the proportion of students that use a MacBook as their primary computer and 0.33
 3) We did not find enough evidence to say the proportion of students that use a MacBook as their primary computer is larger than 0.33.
 4) The proportion of students that use a MacBook as their primary computer is greater than or equal to 0.33.
 5) We did not find enough evidence to say the proportion of students that use a MacBook as their primary computer is less than 0.33.

Question 10 (1 point)

As of 2012, the proportion of students who use a MacBook as
their primary computer is 0.42. You believe that at your university
the proportion is actually different from 0.42. The hypotheses for
this scenario are Null Hypothesis: p = 0.42, Alternative
Hypothesis: p ≠ 0.42. You conduct a random sample and run a
hypothesis test yielding a p-value of 0.7706. What is the
appropriate conclusion? Conclude at the 5% level of
significance.

Question 10 options:

 1) We did not find enough evidence to say a significant difference exists between the proportion of students that use a MacBook as their primary computer and 0.42
 2) The proportion of students that use a MacBook as their primary computer is significantly different from 0.42.
 3) The proportion of students that use a MacBook as their primary computer is equal to 0.42.
 4) We did not find enough evidence to say the proportion of students that use a MacBook as their primary computer is less than 0.42.
 5) We did not find enough evidence to say the proportion of students that use a MacBook as their primary computer is larger than 0.42.