n 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. (see attachments) What is the level of significance?___________________

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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. (see attachments)

What is the level of significance?___________________

 

What condition for using a z-distribution is met?
The sample taken was a simple random sample.
Pick
nce?
A simple random sample of more than 30 customers was taken.
The sample taken was a simple random sample.
10? The true population proportion is known.
Transcribed Image Text:What condition for using a z-distribution is met? The sample taken was a simple random sample. Pick nce? A simple random sample of more than 30 customers was taken. The sample taken was a simple random sample. 10? The true population proportion is known.
Customer sample
What is the population parameter?
59
made a purchase
The number of customers in the sample who made a purchase on the site
Pick
Observations
100
Confidence Level
95%
1.95 Wha The number of customers in the sample who made a purchase on the site
Critical value
test statistic (2)
1.8
The number of customers sampled
The proportion of all customers in the sample who made a purchase on the site
p-value
0.072
What is the level of significance? The proportion of all customers who made a purchase on the site
Transcribed Image Text:Customer sample What is the population parameter? 59 made a purchase The number of customers in the sample who made a purchase on the site Pick Observations 100 Confidence Level 95% 1.95 Wha The number of customers in the sample who made a purchase on the site Critical value test statistic (2) 1.8 The number of customers sampled The proportion of all customers in the sample who made a purchase on the site p-value 0.072 What is the level of significance? The proportion of all customers who made a purchase on the site
Expert Solution
Step 1

Solution:

Given information:

p= 0.50 Population proportion. 

Confidence level = C=95% 

Claim: The proportion of customers who visit the site and make a purchase is different than 50%. 

The null and alternative hypothesis is 

Ho:p=0.50    Vs  Ha:p0.50

Test statistic z =1.8   Given 

P value = 0.072  Given 

 

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