Choose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all the expected counts are 5 or more. Since each expected count is the condition that all the expected counts are 5 or more (Simplify your answer.) Step 3: Compute to Compare An incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic. x² = (4-72)² 7.2 (15-72)² 7.2 x²=(Round to two decimal places as needed.) Find the p-value for this test. p-value=(Round to three decimal places as needed.) Step 4: Interpret Reject or do not reject the null hypothesis, and pick an interpretation from those below. OA. Do not reject the null hypothesis. Humans have not been shown to be different from random number generators. OB. Reject the null hypothesis. Humans have been shown to be different from random number generators MacBook Pro Next
Choose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all the expected counts are 5 or more. Since each expected count is the condition that all the expected counts are 5 or more (Simplify your answer.) Step 3: Compute to Compare An incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic. x² = (4-72)² 7.2 (15-72)² 7.2 x²=(Round to two decimal places as needed.) Find the p-value for this test. p-value=(Round to three decimal places as needed.) Step 4: Interpret Reject or do not reject the null hypothesis, and pick an interpretation from those below. OA. Do not reject the null hypothesis. Humans have not been shown to be different from random number generators. OB. Reject the null hypothesis. Humans have been shown to be different from random number generators MacBook Pro Next
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:1
A professor collected data from classes to see whether humans made selections randomly, as a random number generator would. Each of 36 students had to pick an integer from one to five. The
data are summarized in the table below. A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humans
are not like random number generators. Use a significance level of a = 0.05, and assume these data were from a random sample of students.
Click the icon to view the integer selection data.
Z
Choose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all the
expected counts are 5 or more.
Since each expected count is the condition that all the expected counts are 5 or more
(Simplify your answer.)
Step 3: Compute to Compare
An incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic.
!
21
7
Q
W
S
x²
Find the p-value for this test.
p-value (Round to three decimal places as needed.)
Step 4: Interpret
Reject or do not reject the null hypothesis, and pick an interpretation from those below.
X
x² = (4-72)² (15-7.2)²
7.2
7.2
H
command
OA. Do not reject the null hypothesis. Humans have not been shown to be different from random number generators.
OB. Reject the null hypothesis. Humans have been shown to be different from random number generators.
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Transcribed Image Text:A professor collected data from classes to see whether humans made selections randomly, as a random number generator would. Each of 36 students had to pick an integer from one to five. The
data are summarized in the table below. A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humans
are not like random number generators. Use a significance level of a = 0.05, and assume these data were from a random sample of students.
Click the icon to view the integer selection data.
n
Q
A
1
Step 1: Hypothesize
Ho: Humans are like random number generators and produce numbers in equal quantities.
State the alternative hypothesis. Choose the correct answer below.
@
HEF
2
W
Z
Since each expected count is, the condition that all the expected counts are 5 or more
(Simplify your answer.)
Step 3: Compute to Compare
An incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic.
S
X
OA. H: Humans are not like random number generators and are equally likely to pick all the integers.
OB. H: Humans are not like random number generators and are more likely to pick odd integers.
OC. H₂ Humans are not like random number generators and are more likely to pick even integers.
OD. H: Humans are not like random number generators and do not produce numbers in equal quantities.
Step 2: Prepare
Choose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all the
expected counts are 5 or more.
H
command
x² = (4-72)² (15-7-2)²
72
7.2
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