# Hypothesis Testing and Correlation Strength

**Use the States.sav database to answer this question.  You are trying to determine whether there is a statistically significant relationship between the percentage of the population age 65 or older (over64) and per capita income (prcapinc).  What is the p-value of this relationship to three decimal points (0.XXX)?  (Note: both variables are ratio level)

**Use the States.sav database to answer this question.  You are trying to determine whether there is a statistically significant relationship between the percentage of the population living in urban areas (urban) and per capita income (prcapinc).  Run the appropriate hypothesis test  (Note: both variables are ratio level).  Based on the result, what will you do to the null hypothesis?

I will reject the null hypothesis because the p-value is below 0.05.

I will fail to reject the null hypothesis because the p-value is above 0.05.

I will fail to reject the null hypothesis because the p-value is below 0.05.

I will reject the null hypothesis because the p-value is above 0.05

**Use the States.sav database to answer this question.  You are trying to determine whether there is a statistically significant relationship between the percentage of the population in a union (union) and per capita income (prcapinc).  Run the appropriate hypothesis test  (Note: both variables are ratio level).  What is the Pearson’s r value to three decimal places (0.XXX)?

**Use the States.sav database to answer this question.  You are trying to determine whether there is a statistically significant difference between  New England states and South Atlantic states in the census divisions (division) with regard to per capita income (prcapinc).  What is the p-value of the difference? (Note: group differences!)

**Use the States.sav database to answer this question.  You are trying to determine whether there is a  statistically significant difference among the census regions of the United States (region) with regard to per capita income.  Is there a statistically significant difference?  (Note: there are four groups being compared)

No, there is no statistically significant difference as the p-value is greater than 0.05.

No, there is no statistically significant difference as the p-value is lower than 0.05.

Yes, there is a statistically significant difference as the p-value is lower than 0.05.

Yes, there is a statistically significant difference as the p-value is greater than 0.05.

**Use the States.sav database to answer this question.  You are trying to determine whether there is a  statistically significant relationship between the high school education rate in four categories (hscat4) and per capita income (prcapinc).  Which of the following statements is accurate?  (Note: hscat is ordinal level data).

There is no statistically significant relationship and a correlation strength of 0.305.

There is a statistically significant relationship and a negligible correlation strength at 0.089.

There is a statistically significant relationship and a weak correlation strength at 0.313.

There is a statistically significant relationship and a correlation strength of 0.305.

There is no statistically significant relationship and a correlation strength of 0.089.

**Use the States.sav database to answer this question.  You are trying to determine whether the census region (region) a person lives in affects whether their state was a battleground state in 2004 (battle04).  What is the p-value associated with this relationship?  (Note: nominal level data)
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