Question: In a study of young offenders, the types of offense for a random sample of 109 young female offenders, and for a random sample of 382 young male offenders, were recorded. A breakdown of the types of offences shown in the table below.

1. (2 points) For the male offenders, what percentage of their offences are drug offences? For the female offenders, what percentage of their offences are drug offences? Do these values suggest that the distributions for types of offense differ for the males and the females? Explain.
   Following the steps below, perform a test at a 1% significance level to find out if we have evidence that the distributions of the variable TYPE OF OFEENCE differs for females and males
   
2. (3 points) State appropriate hypotheses.
3. (3 points) Show how the two blanked-out terms in the table (for female drug offenders, the top right hand cell) are calculated from the original data in the 2-way table, using observed and expected values. Give the relevant formulae & details of the calculations.
4. (3 points) Report the p-value from the output, and show how an approximate p—value can be found from the appropriate table showing the degrees of freedom and the critical values from the appropriate table. P—value from output: Degrees of freedom: critical values) from table: p—value from table:
5. (2 points) Briefly assess the strength and significance of the evidence strength: . significance:
6. (3 points) State your conclusion in full context.
7. (2 points) State the expected cell frequency condition for the chi squared test. Does it hold for our data? Explain.

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