Suppose that( 0.743,0.857) is an approximate 99.56% confidence interval for an unknown population proportion parameter p. Using this confidence interval, determine a)  the relevant value of zk, b) the sample size n.

A hotel chain wants to estimate the mean number of rooms rented daily in a given month. The population of rooms rented daily is assumed to be normally distributed for each month with a standard deviation of 240 rooms. During February, a sample of 25 days has a sample mean of 370 rooms. The critical value for a 90% confidence interval for this sample is ________.   Question 12 options:   1)  2.58   2)  1.96   3)  2.649   4)  1.645

Estimate the minimum sample size needed to achieve the margin of error E = 0.029 for a 95% confidence interval. The minimum sample size is an example (Round up to the nearest integer.)

If X=115, 25, and n = 31, construct a 99% confidence interval estimate of the population mean, μ. ☐ sμs ☐ (Round to two decimal places as needed.)

Estimate the minimum sample size needed to achieve the margin of error E = 0.026 for a 95% confidence interval. The minimum sample size is (Round up to the nearest integer.)

A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.9 and the sample standard deviation is found to be s=12.8. Construct a​ 99% confidence interval for the population mean. a.) what is the lower bound? b.) what is the upper bound?

Use the following information to find the 95% confidence interval to estimate μ₁ −μ₂. Assume x is normally distributed in the populations and the variances of the populations are approximately equal. Sample 2 Sample 1 n1 = 60 n2 = 45 X₁ = 21 = 24 $1=5 $2=4 O a. (-4.799, -1.201) O b. (-5.21, 0.324) O c. (-2.564, 1.258) O d. (0.254, 3.54)

A recent survey of 1050 U.S. adults selected at random showed that 647 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.