O O O A social media survey found that 71% of parents are "friends" with their children on a certain online networking site. A random sample of 160 parents was selected. Complete parts a through d below a. Calculate the standard error of the proportion. op- (Round to four decimal places as needed.) b. What is the probability that 118 or more parents from this sample are "friends with their children on this online networking site? P(118 or more parents from this sample are "friends" with their children) = (Round to four decimal places as needed.) c. What is the probability that between 114 and 122 parents from this sample are "friends" with their children on this online networking site? P(Between 114 and 122 parents from this sample are "friends" with their children) = (Round to four decimal places as needed.) O CE O d. If 97 parents responded that they are "friends" with their children on this online networking site, does this result support the findings of the social media survey? OA. Yes, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is less than 0.05. OB. No, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is greater than 0.05. OC. No, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is less than 0.05. OD. Yes, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is greater than 0.05. Time Remaining: 01:2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A social media survey found that 71% of parents are "friends" with their children on a certain online networking site. A random sample of 160 parents was selected. Complete parts a through d below.
a. Calculate the standard error of the proportion.
=(Round to four decimal places as needed.)
b. What is the probability that 118 or more parents from this sample are "friends" with their children on this online networking site?
P(118 or more parents from this sample are "friends" with their children) =
(Round to four decimal places as needed.)
c. What is the probability that between 114 and 122 parents from this sample are "friends" with their children on this online networking site?
P(Between 114 and 122 parents from this sample are "friends" with their children) =
(Round to four decimal places as needed.)
d. If 97 parents responded that they are "friends" with their children on this online networking site, does this result support the findings of the social media survey?
A. Yes, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is less than 0.05.
OB. No, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is greater than 0.05.
OC. No, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is less than 0.05.
OD. Yes, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is greater than 0.05.
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Transcribed Image Text:A social media survey found that 71% of parents are "friends" with their children on a certain online networking site. A random sample of 160 parents was selected. Complete parts a through d below. a. Calculate the standard error of the proportion. =(Round to four decimal places as needed.) b. What is the probability that 118 or more parents from this sample are "friends" with their children on this online networking site? P(118 or more parents from this sample are "friends" with their children) = (Round to four decimal places as needed.) c. What is the probability that between 114 and 122 parents from this sample are "friends" with their children on this online networking site? P(Between 114 and 122 parents from this sample are "friends" with their children) = (Round to four decimal places as needed.) d. If 97 parents responded that they are "friends" with their children on this online networking site, does this result support the findings of the social media survey? A. Yes, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is less than 0.05. OB. No, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is greater than 0.05. OC. No, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is less than 0.05. OD. Yes, the probability of obtaining a result this small or smaller given that the findings of the social media survey are accurrate is greater than 0.05. MacBook Air CO Time Remaining: 01:22:37 F10 F11 N
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