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4. You are employed as a behavioural scientist at a substance rehabilitation institution. You are tasked with a behaviour change intervention targeting reckless drivers. You conduct an intervention in which two samples of ten drivers are randomised to an experimental and a control group. Both groups are asked to drive through a test circuit, and the number of errors made by each member is recorded. The first group tackled the circuit sober, while the second group tackled the circuit immediately after consuming two units of alcohol. The results obtained are given in the following table: NUMBER OF ERRORS Group 1 (No Units Of Alcohol) Group 2 (Two Units Of Alcohol) 3 11 2 6 8 7 5 4 5 10 6 9 3 8 6 6 4 7 5 6 Perform an appropriate hypothesis test at the 5% significance level to determine whether consumption of two units of alcohol has a significant impact on driving ability, as measured by the number of errors made on a test circuit. Show all calculations, both manually, and using MS Excel. Include the following in your hypothesis test: a. State the null and alternate hypotheses b. State the design requirements and assumptions (assume assumptions have been met) c. State the decision rule d. Calculate the value of the test statistic and make a decision e. State the conclusion f. Calculate and interpret effect size, if appropriate

          4. You are employed as a behavioural scientist at a substance rehabilitation 
institution. You are tasked with a behaviour change intervention targeting 
reckless drivers. You conduct an intervention in which two samples of ten 
drivers are randomised to an experimental and a control group. Both groups 
are asked to drive through a test circuit, and the number of errors made by each 
member is recorded. The first group tackled the circuit sober, while the second 
group tackled the circuit immediately after consuming two units of alcohol. 
The results obtained are given in the following table:
NUMBER OF ERRORS
Group 1 (No Units Of Alcohol) Group 2 (Two Units Of Alcohol)
3 11
2 6
8 7
5 4
5 10
6 9
3 8
6 6
4 7
5 6
Perform an appropriate hypothesis test at the 5% significance level to 
determine whether consumption of two units of alcohol has a significant 
impact on driving ability, as measured by the number of errors made on a test 
circuit. Show all calculations, both manually, and using MS Excel.
Include the following in your hypothesis test:
a. State the null and alternate hypotheses
b. State the design requirements and assumptions (assume assumptions 
have been met)
c. State the decision rule
d. Calculate the value of the test statistic and make a decision
e. State the conclusion
f. Calculate and interpret effect size, if appropriate

Added by Orefile N.

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