1) Describe and diagram the relationship between alpha and beta. (6 marks)
2) Identifytheappropriateinferentialtestineachofthefollowingscenarios:(6marks)
a) A researcher is interested in attitudes about employment regulations. She administers a questionnaire, which is scored on an interval level of measurement, to a random sample of 30 students. She wants to test the hypothesis that the population mean is equal to a specified value of 50 without knowing the population variance.
b) Aresearcherisinterestedintheimpactofagroupsocialskillstrainingprogramon the perpetration of contact offences. She randomly samples 120 offenders and randomly assigns them to either (a) receive the training for six months, (b) receivethe training for twelve months, or (c) receive no training. The researcher wants to test the hypothesis that the training played a role in the average number of offences committed in the five years following the training.
c) A researcher is interested in the impact of a group social skills training program on the perpetration of contact offences. She randomly samples 80 offenders and using a stratified random assignment method assigns them to either receive the training for six months or to receive no training. The researcher wants to test the hypothesis that the training played a role in the average number of contact offences committed in the five years following the training compared to the control group.
d) A researcher is interested in attitudes about employment regulations. She administers a questionnaire, which is scored on an interval level of measurement, to a random sample of 30 students. She wants to test the hypothesis that the population mean is equal to a specified value of 50, knowing the population variance is equal to 15.
e) A researcher is interested in the impact of a group social skills training program on the perpetration of non-contact offences. She randomly samples 80 offenders and assigns them to receive the training for six months. The researcher wants to test the hypothesis that the training played a role in the average number of non-contact offences committed in the five years following the training. She compared this number to the average number of offences from the same 80 offenders over the five years prior to receiving the training.
f) A researcher is interested in examining the association between attitudes about employment regulations and attitudes about parenting. She administers two questionnaires, which are both scored on an interval level of measurement, to a random sample of 75 students. The researcher wants to test the hypothesis that there is a relationship between attitudes about employment regulations and parenting.
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