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Pol 660 Research Methods

1.) What is the critical value for a chi-square test with 7 degrees of freedom at the 5 percent level of significance (p-value = 0.05)?
2.)  If the chi-square statistic were 17.25, and the critical value was 18.307, what would you conclude regarding the null hypothesis?
3. What is the critical value for a chi-square test with 15 degrees of freedom at the 1 percent level of significance (p-value = 0.01)?
4.)  If the chi-square statistic were 20.45, and the critical value was 18.475, what would you conclude regarding the null hypothesis?
5.) Below is a scatterplot for unemployment and educational attainment for the 50 states in 2001.
a.) Construct a directional hypothesis for which this scatterplot could have been constructed.
b.) What information can you glean from this scatterplot and what does this information suggest about the hypothesis that you constructed?
6.)ou are a program manager for a social welfare agency and are interested in determining if there is a relationship between the length of time that an individual receives welfare assistance (measured in months) and their educational attainment (measured in years). The results of the model in which “welfare assistance duration” is regressed on “educational attainment” are provided below.
a.) What is the equation of the regression line? (Identify a and b in the equation Y = a + bX.)
b.) Interpret the regression coefficient.
c.) Interpret the constant term (the intercept).
d.) Is the relationship mentioned above statistically significant? (Be sure to consult the p-value for “Education.” Use a 95 percent confidence level.)
e.) What is the R2 value? What does this value tell us?
7.) You are interested in investigating variation in the violent crime rate of the 50 states in 2015. The violent crime rate is defined as the number of violent crimes committed per 100,000 population. Based on the literature, you believe there is a relationship between the unemployment rate (an independent variable) of a state and its violent crime rate (the dependent variable). In our dataset, VIOLENT_CRIME is a continuous variable measured as the number of violent crimes committed per 100,000 population. UNEMP is a continuous variable measured as a percentage