Damage to the brain’s right hemisphere is most likely to reduce a person’s ability to a. recite the alphabet rapidly. b. make inferences. c. understand verbal instructions. d. solve arithmetic problems.

During the Bush and Obama administrations, there has been a great deal of discussion about partisanship. Did partisanship have an impact on approval ratings in public polls? The following tables display the approval ratings of both presidents during November of their third year in office (http://www. gallup.com/poll/124922/Presidential-Approval-Center.aspx?ref=interactive). The first table shows the approval numbers for each president from voters of his own party (Democrats for Obama, Republicans for Bush). The second table displays the percentage of opposition party voters that approve of each president (Republicans for Obama, Democrats for Bush). The figures match the percentages listed on www.gallup.com.

$$\begin{aligned} &\text { President's Own Party }\\ &\begin{array}{lcc} \hline & \begin{array}{c} \text { Obama } \\ \text { (April 2011) } \end{array} & \begin{array}{c} \text { Bush } \\ \text { (April 2003) } \end{array} \\ \hline \begin{array}{l} \text { Approve } \\ \text { Not sure/ } \\ \text { disapprove } \end{array} & 693 & 775 \\ \hline \end{array} \end{aligned}$$

$$\begin{aligned} &\text { President's Opposition Party }\\ &\begin{array}{lcc} \hline & \begin{array}{c} \text { Obama } \\ \text { (April 2011) } \end{array} & \begin{array}{c} \text { Bush } \\ \text { (April 2003) } \end{array} \\ \hline \begin{array}{l} \text { Approve } \end{array} & 171 \\ \begin{array}{l} \text { Not sure/ } \\ \text { disapprove } \end{array} & 99 & 729 \\ \hline \end{array} \end{aligned}$$

a. Check the relationship between the approval ratings from members of their own party at a $1 \%$ level of significance. b. Assess the relationship between the opposing party voters' approval ratings at a $1 \%$ significant level.

Mike claims that he has developed the ability to roll a 6 almost every time that he rolls a die. You test his claim by having Mike roll a die five times, and he gets a 6 each time. If Mike has no ability to affect the outcomes, find the probability that he will roll five consecutive 6s when a die is rolled five times. Is that probability low enough to rule out chance as an explanation for Mike's results?