Here
pooled proportion is
The standard error for proportion is
The test statistic can be written as
Now,
The value of the test statistic
a 95% confidence interval estimate of is
QUESTION 11 Consider the following information: ni=100, xl=60, n2 100, and X2 = 40, The statistics...
QUESTION 11 Consider the following information n1 100 , χ!= 60, n2= 100, and X2=40. The statistics analyst wants to know if there is evidence of a significant differences between tre two population proportions? Refer to the information given on question 11 the p-value for a two-tailed test is 1. 0.0023 2. 0.9977 3. 0.0046 4. 0.9974 5. 0.0026
Construct a 95% confidence interval for p1 - p2. The sample statistics listed below are from independent samples. Sample statistics: n1 = 100, x1 = 35, n2 = 60, x2 = 50 A) (-0.141, 0.208) B) (-0.871, 0.872) C) (-2.391, 3.112) D) (-1.341, 1.781)
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 ni = 400 n2= 300 P1= 0.44 P2= 0.36 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
Use the following information to complete steps (a) through (d) below. A random sample of ny = 135 individuals results in xy = 40 successes. An independent sample of n2 = 150 individuals results in x2 = 60 successes. Does this represent sufficient evidence to conclude that P, <P2 at the a = 0.10 level of significance? (a) What type of test should be used? A. A hypothesis test regarding the difference between two population proportions from independent samples. B....
1. Suppose YPoisson(A) and Y2 ~Poisson(2X) are two independent observations. (a) Derive the MLE of λ based on (Yi,Yo) (b) Show that the estimator λ (Y + Y)/3 is unbiased for λ and compute its variance. (c) With as much rigor as possible, show that if A is large then (A-X)/v is approximately normally distributed. (d) Derive a 95 percent confidence interval for A based on the asymptotic distribution of λ in part (c) (e) Extra Credit Based on part...
photos for each question are all in a row (1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question Provide an appropriate response. 1) Find the critical value,te for 0.99 and n-10. A) 3.250 B) 3.169 1.833 D) 2.262 2) Find the critical value to forc=0.95 and n=16. A) 2.947 B) 2.602 2120 D) 2.131 3) Find the value of E, the margin of error, for A) 1.69 B) 0.42 0.99, n=16 and s=2.6. C)...