Question

Q16 A recent​ WSJ/NBC News poll was based on nationwide telephone interviews of 1000 adults. It was conducted March​ 23-27, 2020. Individuals were selected so that all listed landline telephone numbers had an equally likely chance to be included in the sample. The cellphone sample was selected from a list of cellphone users nationally.

Respondents to the survey were asked what they thought about social media sites like Facebook and Twitter.​ Specifically, they were asked if they believed that social media does more​ “to bring us​ together” or​ “to divide​ us” as a nation. 650 of the 1000 respondents said that social media does more​ “to bring us​ together” as a nation.  

Answer the following questions about this survey.

a. The point estimate of the population proportion of adults who believe that social media does more​ “to bring us​ together” is ​ _______.

A.

​0.35%

B.

​0.65%

C.

0.35

D.

0.65

b. Construct the​ 95% confidence interval estimate for the population proportion of adults who believe that social media does more​ “to bring us​ together”. That​ is, complete the​ statement:

According to the recent​ WJS/NBC News​ poll, the proportion of adults who believe that social media does more​ “ to bring us​ together” is​ __________ with a margin of error of​ _________.    

A.

0.65​ , 0.0004

B.

​0.65% , 0.030

C.

​0.65% ,​ .004%

D.

0.65​ , 0.030

c. The margin of error would​ _______ (increase,​ decrease) if the​ 95% confidence interval was constructed from a sample of 500​ adults, rather than 1000.

A.

increase

B.

decrease

d. Given the same sample size of​ 1000, the margin of error would​ ________ (increase,​ decrease) if a​ 99% confidence interval is constructed instead of a​ 95% confidence interval.

A.

decrease

B.

increase

Answer 1

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