Chapter 8, Bivariate Hypothesis Testing Video Solutions, The Fundamentals of Political Science Research

Problem 1

What form of bivariate hypothesis test would be appropriate for the following research questions:
(a) You want to test the theory that being female causes lower salaries.
(b) You want to test the theory that a state's percentage of college graduates is positively related to its turnout percentage.
(c) You want to test the theory that individuals with higher incomes are more likely to vote.

Karen Song

Numerade Educator

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Problem 2

Explain why each of the following statements is either true or false:
(a) The computer program gave me a $p$-value of 0.000 , so I know that my theory has been verified.
(b) The computer program gave me a $p$-value of 0.02 , so I know that I have found a very strong relationship.
(c) The computer program gave me a $p$-value of 0.07 , so I know that this relationship is due to random chance.
(d) The computer program gave me a $p$-value of 0.50 , so I know that there is only a 50 percent chance of this relationship being systematic.

Rashmi Sinha

Numerade Educator

02:50

Problem 3

Take a look at Figure 8.5. What is the dependent variable? What are the independent variables? What does this table tell us about politics?

Aarushi Singh

Numerade Educator

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Problem 4

What makes the table in Figure 8.5 so confusing?

Rashmi Sinha

Numerade Educator

00:50

Problem 5

Conduct a tabular analysis from the information presented in the following hypothetical discussion of polling results: "We did a survey of 800 respondents who were likely Democratic primary voters in the state. Among these respondents, 45 percent favored Obama whereas 55 percent favored Clinton. When we split the respondents in half at the median age of 40 , we found some stark differences: Among the younger half of the sample respondents, we found that 72.2 percent favored Obama to be the nominee and among the older sample respondents, we found that 68.2 percent favored Clinton."

Sheryl Ezze

Numerade Educator

Problem 6

For the example in Exercise 5, test the theory that age is related to preference for a Democratic nominee.

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01:27

Problem 7

A lot of people in the United States think that the Watergate scandal in 1972 caused a sea change in terms of US citizens' views toward incumbent politicians. Use the data in Table 8.14 to produce a difference of means test of the null hypothesis that average reelection rates were the same before and after the Watergate scandal. Because of the timing of the elections and the scandal, 1972 should be coded as a pre-scandal case. Do this test once for the House and once for the Senate. Show all of your work.

Nick Johnson

Numerade Educator

06:34

Problem 8

Using the data set "BES2005 Subset" (which is available on the textbook's web site at www.cambridge.org/fpsr), produce a table that shows the combination values for the variables "LabourVote" $(Y)$ and "IraqWarApprovalDich" $(X)$. Read the descriptions of these two variables and write about what this table tells you about politics in the United Kingdom in 2005. Compute a $\chi^2$ hypothesis test for these two variables. Write about what this tells you about politics in the United Kingdom in 2005.

Jeremiah Mbaria

Numerade Educator

09:28

Problem 9

Using the data set "BES2005 Subset," test the hypothesis that values for "BlairFeelings" $(Y)$ are different across different values of "IraqWarApprovalDich" $(X)$. Read the descriptions of these two variables and write about what this table tells you about politics in the United Kingdom in 2005.

Srikar Katta

Numerade Educator

01:34

Problem 10

Using the data set "BES2005 Subset," produce a scatter plot of the values for "BlairFeelings" $(Y)$ and "SelfLR" $(X)$. Calculate a correlation coefficient and $p$-value for the hypothesis that these two variables are related to each other. Read the descriptions of these two variables and write about what this table tells you about politics in the United Kingdom in 2005.

Nick Johnson

Numerade Educator