Question

A courier service company wishes to estimate the proportion of people in various states that will...

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 228 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.

Homework Answers

Answer #1

Solution

Given that,

=  [p ( 1 - p ) / n] = [(0.06 * 0.94) / 228 ] = 0.0157

= P[(-0.03) / 0.0157 < ( - ) / < (0.03) / 0.0157]

= P(-1.91 < z < 1.91)

= P(z < 1.91) - P(z < -1.91)

= 0.9719 - 0.0281

= 0.9438

Probability = 0.9438

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A courier service company wishes to estimate the proportion of people in various states that will...
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 271 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.
courier service company wishes to estimate the proportion of people in various states that will use...
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 328 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05. If 212 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.07. If 298 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05. If 273 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
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 235 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.04? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.07. If 439 are sampled, what is the probability that the sample proportion will differ from the population proportion by more than 0.03? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
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 367 are sampled, what is the probability that the sample proportion will be less than 0.08? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04 . If 384 are sampled, what is the probability that the sample proportion will be less than 0.06? Round your answer to four decimal places.
A courier service company wishes to estimate the proportion of people in various states that will...
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 300 are sampled, what is the probability that the sample proportion will be less than 0.07? Round your answer to four decimal places.