A survey posted on the web in a recent month asked respondents to provide a satisfaction rating regarding a certain Democratic politician's policies and their political affiliation. Of 202 respondents, 83 were Democrats. A total of 107 respondents thought the current politician was doing better than his predecessor. A total of 73 respondents were both Democratic and voted that he was doing better. How many respondents were not Democrats and did not think he was doing better? There were respondents who were not Democrats and did not think he was doing better. (Type a whole number.)

A fundraiser is offering a small gift to people making a donation.  The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle.  The fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference.  The data for n = 40 donors are below:

In a statistics activity, students are asked to spin a penny and a dime and determine the proportion of times that each lands with tails up. The students believe that since a dime is lighter, it will have a lower proportion of times landing tails up compared with the penny. The students are instructed to spin the penny and the dime 30 times and record the number of times each lands tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Let pp = the true proportion of times a dime will land tails up and pp = the true proportion of times a penny will land tails up. The P-value for this significance test is 0.296. Which of the following is the correct conclusion for this test of the hypotheses H Pp-Pp=0 and H, Po-Pp 0.05. There is sufficient evidence that the true proportion of times a dime will land tails up is significantly less than the penny. O The student should reject the null hypothesis since 0.296 > 0.05. There is insufficient…

In fall 2014, 36% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 14% with a Math SAT of less than 700 were admitted. Further, 34% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.) %