Question 3: A travel agent wants to know if the proportions of satisfied customers at two different resorts are different. In a random sample of 200 customers at Resort A, 160 were satisfied. In a random sample of 250 customer at Resort B, 172 were satisfied. At the 1% level of significance, do the resorts differ in customer satisfaction? (a) State the hypotheses for this test and define one of the parameters of interest in full context. (b) Verify that the assumptions for the test are met. 1. Independent Groups Assumption: 2. Independence Assumption, checked by the Randomization Condition: 3. Sample Size Assumption, checked by the Success/Failure Condition: 2/3 (c) Under the null hypothesis, compute the ingredients needed to calculate the test statistíc. P1 - P2 = E(Pi - P2) = Ppool %3D SEpool (P1 – P2) = (d) Compute the test statistic for this test. (e) Draw a rough normal diagram for this test statistic and compute the p-value for the test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Solve  question3 f,g,h,i only I will send the full picture of the question in form of images

(f) Assess the significance of this test:
(g) Make a conclusion for this test in full context.
(h) To estimate how different the two population proportions are, we will compute a 99% con-
fidence interval. What are the unpooled standard error and critical value?
z* =
Se(P1 - P2) =
(i) Compute the 99% confidence interval.
(1) Interpret this interval in full context.
(k) Does this interpretation of the interval agree with the conclusion of the hypothesis test?
Explain.
Transcribed Image Text:(f) Assess the significance of this test: (g) Make a conclusion for this test in full context. (h) To estimate how different the two population proportions are, we will compute a 99% con- fidence interval. What are the unpooled standard error and critical value? z* = Se(P1 - P2) = (i) Compute the 99% confidence interval. (1) Interpret this interval in full context. (k) Does this interpretation of the interval agree with the conclusion of the hypothesis test? Explain.
Question 3:
A travel agent wants to know if the proportions of satisfied customers at two different resorts are
different. In a random sample of 200 customers at Resort A, 160 were satisfied. In a random
sample of 250 customer at Resort B, 172 were satisfied. At the 1% level of significance, do the
resorts differ in customer satisfaction?
(a) State the hypotheses for this test and define one of the parameters of interest in full context.
(b) Verify that the assumptions for the test are met.
1. Independent Groups Assumption:
2. Independence Assumption, checked by the Randomization Condition:
3. Sample Size Assumption, checked by the Success/Failure Condition:
2/3
(c) Under the null hypothesis, compute the ingredients needed to calculate the test statistíc.
Pi - P2 =
E(fi – P2) =
Ppool
SEpool (P1 – P2)
(d) Compute the test statistic for this test.
(e) Draw a rough normal diagram for this test statistic and compute the p-value for the test.
Transcribed Image Text:Question 3: A travel agent wants to know if the proportions of satisfied customers at two different resorts are different. In a random sample of 200 customers at Resort A, 160 were satisfied. In a random sample of 250 customer at Resort B, 172 were satisfied. At the 1% level of significance, do the resorts differ in customer satisfaction? (a) State the hypotheses for this test and define one of the parameters of interest in full context. (b) Verify that the assumptions for the test are met. 1. Independent Groups Assumption: 2. Independence Assumption, checked by the Randomization Condition: 3. Sample Size Assumption, checked by the Success/Failure Condition: 2/3 (c) Under the null hypothesis, compute the ingredients needed to calculate the test statistíc. Pi - P2 = E(fi – P2) = Ppool SEpool (P1 – P2) (d) Compute the test statistic for this test. (e) Draw a rough normal diagram for this test statistic and compute the p-value for the test.
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