About 6% of employed adults in the United States held multiple jobs. A random sample of 69 employed adults is chosen. Find the probability that the proportion of individuals in the sample of 339 who hold multiple jobs is between 0.056 and 0.11. Round the answer to at least four decimal places.
Answers
Answer:
(a) It is not appropriate to use Normal curve , since np = 69*0.06= 4.14 <10 (b) As n = 339 np = 339*0.06 = 20.34 > 10 , n(1-p) = 339*(1-0.06) = 318.66> 10 then we can use
Step-by-step explanation:
About 6% of employed adults in the United States held multiple jobs. A random sample of 69 employed adults is chosen. Use th TI-84 Plus calculator as needed. Part 1 of 5 (a) Is it appropriate to use the normal approximation to find the probability that less than 6.6% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not. It is appropriate to use the normal curve, since np - 4.14 < 10. Part 2 of 5 (b) A new sample of 339 employed adults is chosen. Find the probability that less than 6.6% of the individuals in this sample hold multiple jobs. Round the answer to at least four decimal places. The probability that less than 6.6% of the individuals in this sample hold multiple jobs is 0.6791 (c) Find the probability that more than 6.1% of the individuals in the sample of 339 hold multiple jobs. Round the answer to at least four decimal places. The probability that more than 6.1% of individuals in the sample of 339 hold multiple jobs is