Voice-Controlled Assistants Voice-controlled video assistants are being incorporated into a wide variety of consumer products, including smartphones, tablets, and stand-alone devices such as the Amazon Echo or Google Home. A Pew Research poll found that 46% of Americans reported using a voice-controlled digital assistant. Suppose a group of 50 Americans is randomly selected. a. Find the probability that more than half of the sample uses a voice-controlled digital assistant. b. Find the probability that at most 20 use a voice-controlled digital assistant. c. In a group of 50 Americans, how many would we expect use one of these devices? d. Find the standard deviation for this binomial distribution. Using your answers to parts c and d, would it be surprising to find that fewer than 10 used one of these devices? Why or why not?
Voice-Controlled Assistants Voice-controlled video assistants are being incorporated into a wide variety of consumer products, including smartphones, tablets, and stand-alone devices such as the Amazon Echo or Google Home. A Pew Research poll found that 46% of Americans reported using a voice-controlled digital assistant. Suppose a group of 50 Americans is randomly selected. a. Find the probability that more than half of the sample uses a voice-controlled digital assistant. b. Find the probability that at most 20 use a voice-controlled digital assistant. c. In a group of 50 Americans, how many would we expect use one of these devices? d. Find the standard deviation for this binomial distribution. Using your answers to parts c and d, would it be surprising to find that fewer than 10 used one of these devices? Why or why not?
Solution Summary: The author determines the probability that more than half of the sample uses a voice controlled digital assistant. The required probability is 0.239.
Voice-Controlled Assistants Voice-controlled video assistants are being incorporated into a wide variety of consumer products, including smartphones, tablets, and stand-alone devices such as the Amazon Echo or Google Home. A Pew Research poll found that 46% of Americans reported using a voice-controlled digital assistant. Suppose a group of 50 Americans is randomly selected.
a. Find the probability that more than half of the sample uses a voice-controlled digital assistant.
b. Find the probability that at most 20 use a voice-controlled digital assistant.
c. In a group of 50 Americans, how many would we expect use one of these devices?
d. Find the standard deviation for this binomial distribution. Using your answers to parts c and d, would it be surprising to find that fewer than 10 used one of these devices? Why or why not?
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
What does the margin of error include? When a margin of error is reported for a survey, it includes
a. random sampling error and other practical difficulties like undercoverage and non-response
b. random sampling error, but not other practical difficulties like undercoverage and nonresponse
c. practical difficulties like undercoverage and nonresponse, but not random smapling error
d. none of the above is corret
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License