A recent study conducted by the Pew Research Center in December of 2016 surveyed
ID: 3224187 • Letter: A
Question
A recent study conducted by the Pew Research Center in December of 2016 surveyed a national random sample of 1,002 American adults. They found that 64% of those sampled said that ``completely made-up news has caused a great deal of confusion about the basic facts of current events.” A summary conclusion to the findings of this study is given below with several key words omitted. Your task is to fill in the missing words, using the list of terms below the summary. Note that some of the words in this list are not part of the summary.
According to the Pew Research Center, it is estimated that 64% of the (1)______of all US adults said that completely made-up news has caused a great deal of confusion about the basic facts of current events. This value of 64% is a (2)_______used to estimate the (3)________ in this study, namely the true (4)_________ of US adults who felt this way, denoted by p. Since this is a sufficiently large (5)________, the (6)__________of is approximately (7)________with (8) _________ p and standard deviation according to the (9)________. Based on this result, a confidence interval for the true proportion p with (10)________ 90% is given by (0.615, 0.665). This interval has a (11)_________ of 0.025. Because all of the values in this interval are greater than 50%, we can say that the difference between the true proportion p and 50% is (12)________ and conclude that a majority of US adults feel that ``completely made-up news has caused a great deal of confusion about the basic facts of current events.”
Word Choices: Central Limit Theorem standard error population bias
sampling distribution sampling variability sample mean
statistically significant margin of error statistic proportion
Randomization Condition confidence level parameter normal
Explanation / Answer
1 ) population
2 ) statistic
3 ) parameter
4 ) proportion
5 ) sample
6 ) sampling distribution
7 ) normal
8 ) mean
9 ) Central Limit Theorem
10 ) confidence level
11 ) margin of error
12 ) statistically significant