Forty-two percent of the members in a book club prefer to read nonfiction books. Use the Table of Random Digits below to simulate randomly selecting and asking 15 members, “Do you prefer to read fiction or nonfiction books?”
Let the digits 01 through 42 represent a response of nonfiction.
(1) Start at the beginning of line 122 and write the first 30 digits as two-digit numbers. Circle those that represent a response of nonfiction.
(2) Write p and p̂ for the situation.
Ok I solved the first part:
the digits 01 through 42 represent a response of nonfiction.
47 71 18 92 00 20 40 89 02 26 48 33 77 84 74
But can anyone help understand What does p and p̂ mean - in this context??
"However, the p hat symbol is used to refer to an even smaller group: a proportion of the sample of the entire group. The p hat is often used when discussing the results of surveys. For example, a statistician asks a sample group of 500 adults if they like grape soda; 342 say yes, 100 say no and 58 have no opinion. The statistician is interested in which proportion like grape soda, so an equation will be formulated to find the p hat, or the proportion that answered "yes." The p hat will then be expressed as a percentage or a fraction of the sample group."
Had to look that up.... so I think p-hat will be 6 out of 15 = .4 (or 40 percent)
"To understand what the p hat symbol represents and how it is used, the difference between a population and a sample must first be understood. In the study of statistics, the word "population" refers to the entire group that is being studied. A "sample," on the other hand, is only a part of that group. A sample is, ideally, representative of the entire group, meaning that a statistician can study the habits, behaviors and characteristics of that small group and then generalize the findings to the entire population. In statistics, a lower-case p without a caret above it stands for "population proportion." When a statistician calculates the population proportion, the entire group is being factored into the equation."
So I THINK p is the percentage of the entire population that likes non-fiction and is given as 42 percent or .42
I am not sure of these answers.....but I know you needed SOMEthing....maybe someone will now chime in and tell if I am correct or incorrect in my 'guess'. (I think this part is incorrect.......will get back to ya)