Question

In: Statistics and Probability

We wish to estimate p to within 0.02 units with 99% confidence, but are unsure on...

We wish to estimate p to within 0.02 units with 99% confidence, but are unsure on the possible value of p. What value of p yields the largest possible sample size?

  • A. p= unknown
  • B. p=0.5
  • C. Either p=0 or p=1
  • D. p=p^ from a preliminary study

Solutions

Expert Solution

Solution :

Given that,

= 0.5

1 - = 1 - 0.5= 0.5

margin of error = E = % = 0.02

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.58    ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.58 / 0.02)2 * 0.5 * 0.5

Sample size = 4160

CORRECT OPTION BB. p=0.5

orchestra answered 3 years ago
Next > < Previous

Related Solutions

Assume that a sample is used to estimate a population proportion p. Find the 99% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 297 with 166 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 99% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 99% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 322 with 219 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. Confidence interval =
Compute the 99% confidence interval estimate for the population proportion, p, based on a sample size...
Compute the 99% confidence interval estimate for the population proportion, p, based on a sample size of 100 when the sample proportion, p (overbar), is equal to 0.26
Suppose you wish to estimate a population mean correct to within 0.15 with a confidence level...
Suppose you wish to estimate a population mean correct to within 0.15 with a confidence level of .90. You do not know sigma squared σ2​, but you know that the observations will range in value between 32 and 40. Complete parts a and b. a. Find the approximate sample size that will produce the desired accuracy of the estimate. You wish to be conservative to ensure that the sample size will be ample for achieving the desired accuracy of the...
1.) The estimate of the population proportion is to be within plus or minus 0.02, with...
1.) The estimate of the population proportion is to be within plus or minus 0.02, with a 90% level of confidence. The best estimate of the population proportion is 0.18. How large a sample is required? (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round up your answer to the next whole number.) 2.) In a poll to estimate presidential popularity, each person in a random sample of 1,390 voters was asked to agree with one of...
Suppose we wish to estimate the mean heart rate, using a 95% confidence interval, for a...
Suppose we wish to estimate the mean heart rate, using a 95% confidence interval, for a par- ticular population. We observe 130 individuals to see a sample mean of 98.249 and a sample standard deviation of 0.733. We then find the tc-value, corresponding to the value on the t-distribution (d.f. = 130) so that the area to the left of it is equal to 95%, which ends up being: tc ≈ 1.656659. Next we compute the error and obtain our...
We want to construct a 95% confidence interval to estimate p t − p c using...
We want to construct a 95% confidence interval to estimate p t − p c using the sample data in the table below. Assume that p is the proportion who tested positive. Treatment Control Total Positive 4 8 12 Negative 80 86 166 Total 84 94 178 Is it appropriate to use the z distribution to approximate the sampling distribution when constructing this confidence interval? Group of answer choices Yes, the z distribution may be used No, the z distribution...
In a sample, we have n=140 and p=0.80. Using the normal distribution to find 99% confidence...
In a sample, we have n=140 and p=0.80. Using the normal distribution to find 99% confidence interval for the population proportion p. Round all answers to 3 decimal places. What is the standard error? What is the margin of error? Construct a 99% confidence interval for the population proportion p.
you are a travel agent and wish to estimate with 90% confidence in the proportion of...
you are a travel agent and wish to estimate with 90% confidence in the proportion of vacationers who use an online service or the internet to make travel reservations. your estimate must be accurate to within 3% of the population proportion a. find the minimum sample size needed to perform this estimation if you do not use any prior estimates for the sample proportion. b.find the minimum sample size needed to perform this estimation if you assume that a prior...
A researcher wishes to? estimate, with 99 ?% ?confidence, the population proportion of adults who are...
A researcher wishes to? estimate, with 99 ?% ?confidence, the population proportion of adults who are confident with their? country's banking system. His estimate must be accurate within 2 ?% of the population proportion. ?(a) No preliminary estimate is available. Find the minimum sample size needed. ?(b) Find the minimum sample size? needed, using a prior study that found that 36 ?% of the respondents said they are confident with their? country's banking system. ?(c) Compare the results from parts...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT