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Please show your calculations and steps. In a recent national survey, 30 Canadian adults aged 18-24...

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Basic Math

Please show your calculations and steps. In arecent national survey, 30 Canadian adults aged 18-24 reportedhaving used cannabis for the first time since its legalisation in2018 compared to 68 among the 25-44-year-olds. Out of the 1500survey respondents, 125 were 18-24-year-olds and 400 were in the25-44 age group. The Public Health Agency has been concerned thatthe first time use of cannabis among the younger cohort is higherthan that among the older cohort.

a) Formulate the appropriate statistical hypotheses to test ifthe proportion of first-time cannabis users is higher among youngeradults.

b) Perform the appropriate hypothesis test manually using theP-value approach and a 2% significance level. Make sure you verifythat the relevant assumptions and conditions are met for thetest.

c) Using the corresponding confidence level, calculate aone-sided confidence interval for the difference in the proportionsof first-time cannabis users among the two age groups.

d) Are the results from b) and c) above consistent and why? e)Use Minitab or other appropriate software to perform thecalculations in b) and c) and comment on any differences.

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