A recent study conducted by the Pew Research Center in December of 2016 surveyed

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   

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