a courier service company wishes to estimate the proportion of people in various states that will use its services. suppose the true proportion is 0.06. if 221 are sampled, what is the probability that the sample proportion will be greater than 0.1? round your answer to four decimal places.



Answer :

The probability that the sample proportion will be 0.104.

What is Probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something has been likely to happen is basically what probability means. You will learn the potential outcomes for just a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total list of answers is necessary before we can calculate the likelihood that a specific event will occur.

Given that

p= 0.06

1 - p = 1 + 0 * 6 = 0 * 94

n = 221

p' = p = 0.06

sigma( p) = [tex]\sqrt{\frac{P(1 - P))}h{} }[/tex]

= [tex]\sqrt{\frac{0.06*0.94}{221} }[/tex]

=0.0159

p( p' > 0.1 )=1-p( p' <0.1)

= 1 - p(z < 2.51)

=1- .896

= 0.104

Hence the Probability will be 0.104

Learn more about Probability , by the following link.
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