Question

Suppose 52% of the doctors in a hospital are surgeons. If a sample of 563 doctors...

Suppose 52% of the doctors in a hospital are surgeons. If a sample of 563 doctors is selected, what is the probability that the sample proportion of surgeons will differ from the population proportion by more than 5%? Round your answer to four decimal places.

Homework Answers

Answer #1

n = 563

p = 0.52

= p = 0.52

= sqrt(p(1 - p)/n)

= sqrt(0.52(1 - 0.52)/563)

= 0.0211

P(0.47 < < 0.57)

= P((0.47 - )/ < ( - )/ < (0.57 - )/)

= P((0.47 - 0.52)/0.0211 < Z < (0.57 - 0.52)/0.0211)

= P(-2.37 < Z < 2.37)

= P(Z < 2.37) - P(Z < -2.37)

= 0.9911 - 0.0089

= 0.9822

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
Suppose 52% of the doctors in a hospital are surgeons. If a sample of 563 doctors...
Suppose 52% of the doctors in a hospital are surgeons. If a sample of 563 doctors is selected, what is the probability that the sample proportion of surgeons will differ from the population proportion by less than 5%? Round your answer to four decimal places
Suppose 43% of the doctors in a hospital are surgeons. If a sample of 478 doctors...
Suppose 43% of the doctors in a hospital are surgeons. If a sample of 478 doctors is selected, what is the probability that the sample proportion of surgeons will be greater than 39%? Round your answer to four decimal places.
Suppose 52% of the population has a college degree. If a random sample of size 563...
Suppose 52% of the population has a college degree. If a random sample of size 563 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by more than 5%? Round your answer to four decimal places.
Suppose 55% of the doctors in America are dentists. If a random sample of size 405...
Suppose 55% of the doctors in America are dentists. If a random sample of size 405 is selected, what is the probability that the proportion of doctors who are dentists will differ from the population proportion by less than 6%? Round your answer to four decimal places.
Suppose 52% of the students in a university are baseball players. If a sample of 411...
Suppose 52% of the students in a university are baseball players. If a sample of 411 students is selected, what is the probability that the sample proportion of baseball players will differ from the population proportion by less than 5%? Round your answer to four decimal places.
Suppose 52% of politicians are lawyers. If a random sample of size 411 is selected, what...
Suppose 52% of politicians are lawyers. If a random sample of size 411 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 5%? Round your answer to four decimal places.
Suppose 51% of the students in a university are baseball players. If a sample of 773...
Suppose 51% of the students in a university are baseball players. If a sample of 773 students is selected, what is the probability that the sample proportion of baseball players will differ from the population proportion by more than 5%? Round your answer to four decimal places.
Suppose a large shipment of microwave ovens contained 14% defectives. If a sample of size 278...
Suppose a large shipment of microwave ovens contained 14% defectives. If a sample of size 278 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 5%? Round your answer to four decimal places.
1. Suppose a large shipment of telephones contained 7% defectives. If a sample of size 247...
1. Suppose a large shipment of telephones contained 7% defectives. If a sample of size 247 is selected, what is the probability that the sample proportion will be greater than 9%? Round your answer to four decimal places 2. Suppose 48% of the population has myopia. If a random sample of size 484 is selected, what is the probability that the proportion of persons with myopia will differ from the population proportion by less than 3%? Round your answer to...
5. Suppose a large shipment of compact discs contained 12% defectives. If a sample of size...
5. Suppose a large shipment of compact discs contained 12% defectives. If a sample of size 457 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%? Round your answer to four decimal places. 11. A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 644 pet dogs would be...