The manager of a computer network has collected data on the number of times that service has been in

ngihlungeqtr

ngihlungeqtr

Answered question

2022-04-21

The manager of a computer network has collected data on the number of times that service has been interrupted on each day over the past 500 days. The results are as follows as shown in the table.
Does this distribution of service interruptions follow the expected percentages which are 0=30%, 1=30%, 2= 20%, 3=12%, 4=3%, 5=3%, and 6=2%? Use the 0.01 level of significance.
 Interruptions per Day  Number of Days 0160117528634141851268
1. What type of hypothesis testing should be used?
a. Chi-square Goodness of Fit Test
b. Chi-square Test on Independence
2. What are the null and alternative hypothesis?
a. H0: The observed frequency does not follow the expected distribution; H1: the observed frequency follows the expected distribution
b. H0: The observed frequency follows the expected distribution; H1: The observed frequency does not follow the expected distribution
3. What are the significance level and the type of test?
a. α=0.01, Right-tailed
b. α=0.01, left-tailed
c. α=0.01, two-tailed

Answer & Explanation

Aarav Stokes

Aarav Stokes

Beginner2022-04-22Added 15 answers

The data shows the number of days that the services has been interrupted.
1. Chi-square Goodness of fit test: The chi-square is a non-parametric test which is used for comparing the categorical variables. The chi-square goodness of fit test helps in determining how the observed distribution fits the expected distribution. It is used for comparing the observed data with the expected data.
The variables number of interrupts per day and number of days are categorical. The chi-square goodness of fit test can be used for testing the distribution of service interruptions by using the expected percentages.
Thus, the type of hypothesis testing should be used is Chi-square Goodness of Fit Test.
Correct Answer: a.
2. The hypothesis is,
Null hypothesis:
H0: The observed frequency follows the expected distribution.
Alternative hypothesis:
H1: The observed frequency does not follow the expected distribution.
Correct Answer: b.
Isla Preston

Isla Preston

Beginner2022-04-23Added 12 answers

3. The chi-square test is a right-tailed test.
Thus, the significance level is 0.01 and right-tailed test.
Correct Answer is a).

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?