Chapter 10, Problem 10.2P

$\boxed{PS}$ As mentioned in this chapter, many analysts have noted a “gender gap” in U.S. elections, with women more likely to vote for the Democratic candidate. A sample of university faculty has been asked about their political party preference. Do their responses indicate a significant relationship between gender and party preference for this group?

	Gender
Party Preference	Male	Female	Totals
Democrat	10	15	25
Republican Totals	$\frac{15}{25}$	$\frac{10}{25}$	$\frac{25}{50}$

a. Is there a statistically significant relationship between gender and party preference?

b. Compute column percentages for the table to clarify the pattern of the relationship. Which gender is more likely to prefer the Democrats?