(a) A study looked into the views of workers towards a government policy of school closures in order to reduce coronavirus transmission. 300 participants from three sectors (hospitality, banking and construction) were interviewed and their responses were classified into three categories, namely positive, neutral and negative. The data are shown below. View Towards School Closure Positive Neutral Negative Total Hospitality Banking Construction 35 25 40 100 28 47 25 100 38 22 40 100 Total 101 94 105 300 i. Based on the data in the table, and without conducting a significance test, describe the differences of views across the different sectors. ii. Calculate the x² statistic and use it to test for independence, using a 5% significance level. What do you conclude?

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4. (a) A study looked into the views of workers towards a government policy of school
closures in order to reduce coronavirus transmission. 300 participants from
three sectors (hospitality, banking and construction) were interviewed and their
responses were classified into three categories, namely positive, neutral and
negative. The data are shown below.
View Towards School Closure
Positive Neutral Negative Total
Hospitality
Banking
Construction
35
25
40
100
28
47
25
100
38
22
40
100
Total
101
94
105
300
i. Based on the data in the table, and without conducting a significance test,
describe the differences of views across the different sectors.
ii. Calculate the x? statistic and use it to test for independence, using a 5%
significance level. What do you conclude?
(b)
i. Describe what selection bias is and when it may occur. Give an example.
ii. You have been asked to design a nationwide survey in your country to
find out about working conditions among employees in the postal offices.
Provide a probability sampling scl
would like to use. Identify a potential source of response bias that may
me and a sampling frame that you
occur and discuss how this issue could be addressed.
Transcribed Image Text:4. (a) A study looked into the views of workers towards a government policy of school closures in order to reduce coronavirus transmission. 300 participants from three sectors (hospitality, banking and construction) were interviewed and their responses were classified into three categories, namely positive, neutral and negative. The data are shown below. View Towards School Closure Positive Neutral Negative Total Hospitality Banking Construction 35 25 40 100 28 47 25 100 38 22 40 100 Total 101 94 105 300 i. Based on the data in the table, and without conducting a significance test, describe the differences of views across the different sectors. ii. Calculate the x? statistic and use it to test for independence, using a 5% significance level. What do you conclude? (b) i. Describe what selection bias is and when it may occur. Give an example. ii. You have been asked to design a nationwide survey in your country to find out about working conditions among employees in the postal offices. Provide a probability sampling scl would like to use. Identify a potential source of response bias that may me and a sampling frame that you occur and discuss how this issue could be addressed.
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