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Sta1610 Assignment 5 2023
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9/25/23, 11:39 PM Assessment 5: Attempt reviewSTA1610-23-Y Welcome Message Assessment 5
QUIZ
Started on Monday, 25 September 2023, 11:21 PM
State Finished
Completed on Monday, 25 September 2023, 11:39 PM
Time taken 50 mins 13 secs
Marks 19.00/20.00
Grade 98.00 out of 100.00
Question 1
Correct
Mark 2.00 out of 2.00
Which one of the following statements is incorrect about a chi-square test of
independence between two variables?
a. The alternative hypothesis is that the two variables are independent of
each other.
b. The expected frequency for each cell is equal to (row total × column total)
n , where n is the sample size.
c. The test statistic has (r-1)(c-1) degrees of freedom, where r is the number of
rows and c is the number of columns.
d. The two variables are categorical.
e. If the observed and the expected frequency for each cell are equal, then the
test statistic will be equal to zero.
Question 2
Correct
Mark 2.00 out of 2.00
Now consider a contingency table with 5 rows and 2 columns (in a chi-square test of
independence). If the level of signi cance is 1%, what is the critical value?
a. 13.277
b. 18.307
c. 18.549
d. 34.805
e. 24.996
https://mymodules.dtls.unisa.ac.za/mod/quiz/review.php?attempt=13695785&cmid=621495 1/5
, 9/25/23, 11:39 PM Assessment 5: Attempt review
Question 3
Correct
Mark 2.00 out of 2.00
Consider the contingency table below to test the independence between the
distance from home to school and the school level. What is the expected frequency
of primary school learners travelling between 3km and 6km from home to
school? Choose the correct answer from the list of options below.
a. 122
b. 211
c. 0.12
d. 221
e. 119
Question 4
Correct
Mark 2.00 out of 2.00
The following 2×3 contingency table contains observed frequencies and expected
frequencies (in the brackets) from a sample of 348 observations. Calculate the chi-
square test statistic required to test the independence of row and column variables
and choose the correct answer from the list of options below.
a. 6.36
b. 9.40
c. 3.27
d. 2.54
e. 10.36
https://mymodules.dtls.unisa.ac.za/mod/quiz/review.php?attempt=13695785&cmid=621495 2/5
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