A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.   better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 Express each of your first five answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456). What fraction of survey respondents identified themselves as affiliated with neither party? What fraction of survey respondents thought the economy was about the same? What fraction of those affiliated with neither party thought the economy was about the same? Among survey respondents who thought the economy was about the same, what fraction were affiliated with neither party? What fraction of survey respondents were affiliated with neither party who thought the economy was about the same?

The owners of an amusement park count the number of adults and children who attend the park on a Friday and Saturday. The completed table is shown below.    Friday Saturday Total Adults 245 371 616 Children 154 277 431 Total 399 648 1,047 How does the joint frequency for the number of adults who attended the amusement park on Friday compare to the joint frequency for the number of children who attended the amusement park on Saturday?     The joint frequency for the number of adults who attended the amusement park on Friday is 399, which is less than the joint frequency for the number of children who attended the amusement park on Saturday, 431. The joint frequency for the number of adults who attended the amusement park on Friday is 154, which is less than the joint frequency for the number of children who attended the amusement park on Saturday, 277. The joint frequency for the number of adults who attended the amusement park on Friday is 371, which is…

The Pew Research Center conducted a survey of randomly sampled American adults, asking them about their use of social networking sites such as Facebook. The table below shows the frequency of users "liking" content on Facebook, with the data shown by gender. Does the frequency of "liking" depend on the gender of the user? Į Liking/Gender Male Female Total Every day 77 142 219 3 – 5 days/week 39 54 93 1 – 2 days/week 62 69 131 Every few weeks 42 44 86 Less often 166 182 348 Total 386 491 877 Table 1 Gender and frequency of "liking" content on Facebook Round your answer for the chi-square statistic to one decimal place, and your answer for the p-value to three decimal places. chi-square statistic = i p-value i

Twenty-nine college students, identified as having a positive attitude about Mitt Romney as compared to Barack Obama in the 2012 presidential election, were asked to rate how trustworthy the face of Mitt Romney appeared, as represented in their mental image of Mitt Romney’s face. Ratings were on a scale of 0 to 7, with 0 being “not at all trustworthy” and 7 being “extremely trustworthy.” Here are the 29 ratings:  2.6 3.2 3.7 3.3 3.4 3.6 3.7 3.8 3.9 4.1 4.2 4.9 5.7 4.2 3.9 3.2 4.5 5.0 5.0 4.6 4.6 3.9 3.9 5.3 2.8 2.6 3.0 3.3 3.7   a 95% confidence interval for the mean rating. Is there significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)?