For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p̂ is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p > 0.55; a = 0.08. Sample statistics: p̂ = 0.60, n = 150. Let q = 1 - p and let q̂ = 1 - p̂. A normal sampling distribution (can or cannot) be used here, since (np̂ or np) is (< or ≥) 5 and (nq̂ or nq) is (< or ≥) 5. a) If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. H0: p ___ 0.55 , Ha: p _ 0.55. b) If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. z0 = _. c) If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer blank(s) to complete your choice. The rejection region is z _ _. d) If a normal sampling distribution can be used, identify standardized test statistic z. z = ____. e) If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p̂ is the sample proportion, and n is the sample size. If it can be used, test the claim.

Claim: p > 0.55; a = 0.08. Sample statistics: p̂ = 0.60, n = 150.

Let q = 1 - p and let q̂ = 1 - p̂. A normal sampling distribution (can or cannot) be used here, since (np̂ or np) is (< or ≥) 5 and (nq̂ or nq) is (< or ≥) 5.

a) If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
H0: p _______ 0.55 , Ha: p _______ 0.55.

b) If a normal sampling distribution can be used, identify the critical value(s) for this test. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. z0 = _______.

c) If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer blank(s) to complete your choice. The rejection region is z _______ _______.

d) If a normal sampling distribution can be used, identify standardized test statistic z.

z = ________.

e) If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution