2. a. Define the parameter and state the hypotheses. b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic ( or p), and clearly identify your test statistic as either a z-score or a t-score. Observed Sample Statistic:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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An online clothing retailer knows that historically 40% of potential customers that visit its website actually buy something.
To see if they can increase the proportion of visitors who buy something, they randomly select 1500 visitors to the website
and offer them free shipping if they make a purchase. Of the 1500 visitors who receive this offer, 640 actually buy
something. The company wants to test to see if offering free shipping to all customers would increase the proportion who
would buy something.
2. a. Define the parameter and state the hypotheses.
b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic ( or p),
and clearly identify your test statistic as either a z-score or a t-score.
Observed Sample Statistic:
Test Statistic:
c. Find the p-value of your test statistic. You are required to provide a graph with the test statistic on its
corresponding distribution, shade the appropriate area, and provide correct calculator/Statkey documentation. Box
final answer.
d. Make a generic decision about Ho.
e. Make a conclusion in the context of the problem.
f. Do you have any concerns with this hypothesis test? Clearly answer "yes" or "no".
and provide calculations. (Hint: Check the conditions.)
Explain your answer
Transcribed Image Text:An online clothing retailer knows that historically 40% of potential customers that visit its website actually buy something. To see if they can increase the proportion of visitors who buy something, they randomly select 1500 visitors to the website and offer them free shipping if they make a purchase. Of the 1500 visitors who receive this offer, 640 actually buy something. The company wants to test to see if offering free shipping to all customers would increase the proportion who would buy something. 2. a. Define the parameter and state the hypotheses. b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic ( or p), and clearly identify your test statistic as either a z-score or a t-score. Observed Sample Statistic: Test Statistic: c. Find the p-value of your test statistic. You are required to provide a graph with the test statistic on its corresponding distribution, shade the appropriate area, and provide correct calculator/Statkey documentation. Box final answer. d. Make a generic decision about Ho. e. Make a conclusion in the context of the problem. f. Do you have any concerns with this hypothesis test? Clearly answer "yes" or "no". and provide calculations. (Hint: Check the conditions.) Explain your answer
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