Please answer the first three areas. Thank you! An online retailer would like to know whether the proportion of customers who visit the site and make a purchase isdifferent than 50%. A simple random sample of customers is taken. The results of the sample are shown below.Customer sampleWhat is the population parameter?59made a purchaseObservations100PickConfidence Level95%Critical value1.95 What condition for using a z-distribution is met?test statistic (2)p-value1.8Pick0.072What is the level of significance? Ex: 0.12What is the null hypothesis H,? PickWhat is the alternative hypothesis H,? PickShould Ho be rejected or does H, fail to be rejected? PickWhat conclusion can be drawn from the data?|evidence exists to support the claim that the number of customers who visit the site and make apurchase is not 50%.Pick

Name: Please answer the first three areas. Thank you! An online retailer wo
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Description: Please answer the first three areas. Thank you! An online retailer would like to know whether the proportion of customers who visit the site and make a purchase isdifferent than 50%. A simple random sample of customers is taken. The results of the s

Answered: An online retailer would like to know…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please answer the first three areas. Thank you!

An online retailer would like to know whether the proportion of customers who visit the site and make a purchase is
different than 50%. A simple random sample of customers is taken. The results of the sample are shown below.
Customer sample
What is the population parameter?
59
made a purchase
Observations
100
Pick
Confidence Level
95%
Critical value
1.95 What condition for using a z-distribution is met?
test statistic (2)
p-value
1.8
Pick
0.072
What is the level of significance? Ex: 0.12
What is the null hypothesis H,? Pick
What is the alternative hypothesis H,? Pick
Should Ho be rejected or does H, fail to be rejected? Pick
What conclusion can be drawn from the data?
|evidence exists to support the claim that the number of customers who visit the site and make a
purchase is not 50%.
Pick

Expert Solution

Step 1

Given Information:

Sample size (n) = 100

X = 59

Hypothesized value of population proportion is $p_{0} = 0.50$

To test whether the proportion of customers who visit the site and make a purchase is different than 50%.

Population parameter is the Population proportion $p$ .

Conditions required for using a z-distribution are: $n p \geq 10$ and $n (1 - p) \geq 10$

That is:

$n p = 100 (0.50) = 50 > 10$

$n (1 - p) = 100 (1 - 0.50) = 50 \geq 10$

Thus, the two conditions are met.

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