he Pew Research Center surveyed adults who own/use the following technologies: Internet, smartphone, e-mail and land-line phone (USA Today, March 26, 2014) and asked which of these technologies would be “very hard” to give up. The following responses were obtained: Internet 53%, smartphone 49%, e-mail 36% and land-line phone 28%. a. If 20 adult Internet users are surveyed, what is the probability that 3 users will report that it would be very hard to give up? b. If 20 adults who own a land-line phone are surveyed, what is the probability that 5 or fewer will report that it would be very hard to give up? c. If 2000 owners of smartphones were surveyed, what is the expected number that will report that it would be very hard to give up? d. If 2000 users of e-mail were surveyed, what is the expected number that will report that it would be very hard to give it up? What is the variance and standard deviation in this case? Show in Excel file and the Word file.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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The Pew Research Center surveyed adults who own/use the following technologies: Internet,
smartphone, e-mail and land-line phone (USA Today, March 26, 2014) and asked which of
these technologies would be “very hard” to give up. The following responses were obtained:
Internet 53%, smartphone 49%, e-mail 36% and land-line phone 28%.
a. If 20 adult Internet users are surveyed, what is the probability that 3 users will report
that it would be very hard to give up?
b. If 20 adults who own a land-line phone are surveyed, what is the probability that 5 or
fewer will report that it would be very hard to give up?
c. If 2000 owners of smartphones were surveyed, what is the expected number that will
report that it would be very hard to give up?
d. If 2000 users of e-mail were surveyed, what is the expected number that will report
that it would be very hard to give it up? What is the variance and standard deviation
in this case?

Show in Excel file and the Word file.

 

Fowle Marketing Research, Inc. bases charges to a client on the assumption that telephone
surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time
is necessary , a premium rate is charged. A sample of 35 surveys provided the survey times
shown in the file named Fowle. Based upon past studies, the population standard deviation
is assumed known with δ = 4 minutes. Is the premium rate justified?
a. Formulate the null and alternative hypothesis for this application.
b. Compute the value of the test statistic.
c. What is the p-value?
d. At α = 0.01, what is your conclusion?

show in Excel ful.

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