13. Companies are interested in the demographics of those who listen and call in to the radio programs they sponsor. Suppose that only 20% of listeners phoning in to a morning talk show are male. (a) If the station takes a random sample of 200 callers, what is the probability that the sample proportion of males will be at least 0.25? (b) The station management wonders if adding a male host to the program will increase the proportion of callers who are male. After adding the male host, the station selects a random sample of 200 callers and finds that 25% are male. Does this provide convincing evidence to suggest that the proportion of male callers has increased from 20%? Explain.
13. Companies are interested in the demographics of those who listen and call in to the radio programs they sponsor. Suppose that only 20% of listeners phoning in to a morning talk show are male. (a) If the station takes a random sample of 200 callers, what is the probability that the sample proportion of males will be at least 0.25? (b) The station management wonders if adding a male host to the program will increase the proportion of callers who are male. After adding the male host, the station selects a random sample of 200 callers and finds that 25% are male. Does this provide convincing evidence to suggest that the proportion of male callers has increased from 20%? Explain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:13. Companies are interested in the demographics of those who listen and call in to the radio programs
they sponsor. Suppose that only 20% of listeners phoning in to a morning talk show are male.
(a) If the station takes a random sample of 200 callers, what is the probability that the sample proportion
of males will be at least 0.25?
(b) The station management wonders if adding a male host to the program will increase the proportion of
callers who are male. After adding the male host, the station selects a random sample of 200 callers and
finds that 25% are male. Does this provide convincing evidence to suggest that the proportion of male
callers has increased from 20%? Explain.
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