Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the anasazi period found at the wind mountain archaeological site. at one excavation, a sample of 167 potsherds indicated that 68 were of the three-circle, red-on-white pattern.
a. find a point estimate p for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern.
b. compute a 95 percent confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site.
c. consider the three-circle, red-on-white pattern discussed in the problem above. how many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p-hat of such potsherds is within 6% of the population proportion of three-circle, red-on-white patterns found at this excavation site?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Which property was used to simplify the expression? 3c+9 +4c=3c+4c+9

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.