nku.instructure.com/courses/e06/quizzes747922/k In 2010, it was found that 60% o

Question

nku.instructure.com/courses/e06/quizzes747922/k In 2010, it was found that 60% of us, soda drinkers preferred Coke to Pepsi, we take a random sample of 750 soda drinkers across the U.S | a. Find the sampling distribution Conditions: RRUS? Yes or No? , 10 np - 1-p) > 10 round these values to 4 decimals pA approx-N b. Find the probability that at most 480 of those sampled prefer Coke to Pepsi round to 2 decimals round to 2 decimals Prob- round to 4 decimals 480 % of us soda drinkers prefer Coke to Pepsi, the probability that at most Assuming that U.S. soda drinkers prefer Coke to Pepsi is (probability you put above) of tA

Explanation / Answer

a)YEs

from above"

a) Conditions RUS: Yes

np =450

n(1-p)=300

phat approx ~N(0.6 ,0.01792)

b)

phat=0.64

z=2.24

prob =0.9875

assuming that 60% of US ........that at most 480 of 750 US soda......

for normal distribution z score =(p-p)/p here population proportion=     p= 0.600 sample size       =n= 750 std error of proportion=p=(p*(1-p)/n)= 0.0179

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