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20 MINS

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Please fill in the blank using three decimal places if a numerical answer is required and use NA if a question cannot be answered or there is more than one correct answer. Another recent poll of 1000 people also included information on their age and gender, and we are interested in seeing whether if these classications make a difference on their primary party choices. The data is available as below. Age Labor Coalition Greens Other Under 40 1 97 170 70 72 Over 40 170 206 46 69 Gender Labor Coalition Greens Other Male 178 195 55 T5 Female 189 181 61 66 Based on the above information perform a Two-Way Analysis to determine whether if Age or Gender make a difference to primary party choices. On the contingency tables. we expect to see people under 40 supporting the Coalition, and females supporting the Labor. For the analysis based on Age, the Chi-square test statistic value is , and the corresponding p-value is . An alpha value of 0.06 corresponds to a critical value of , and we (can/cannot) say that these two variables are dependent with that alpha value. For the analysis using Gender, the Chi-square test statistic value is , and the corresponding p-value is . An alpha value of 0.04 corresponds to a critical value of , a and we (can/cannot) say that these two variables are dependent with that alpha value. If we compare the population support proportion for Labor and Greens for males based on this sample, the p-value will be If we compare the population support proportion for Coalition and Greens for under 40s based on this sample, the p-value will be If we build a 90% condence interval for support proportion for Labor within the population of people who are under 40 years old, based on this sample, the lower bound will be percent. If we build a 90% condence interval for support proportion for Coalition within the female population, based on this sample, the upper bound will be percent