QUESTION 3 [7m] A news article makes the following claim: Obesity in children growing One-quarter of Australian children are overweight or obese. The Health Minister Katy Gallagher says it will assist the government in devising new strategies to reduce the number of overweight children. Source: Adapted from ABC News, 16 August 2017 A survey is undertaken to investigate the obesity in Australian children. Of the 850 children surveyed, 246 were found NOT overweight or obese. A two-tailed Z-test, at the 2.5% level of significance, is to be used to determine whether or not there is sufficient evidence that the proportion of all Australian children who are overweight or obese is different from one-quarter. (a) State the null hypothesis. (1 mark) (b) State the alternative hypothesis. (1 mark)(a) State the null hypothesis. (1 mark) (b) State the alternative hypothesis. (1 mark) (c) State the null distribution of the test statistic. (1 mark) (d) Determine whether or not the null hypothesis should be rejected. (3 mark) (e) What can you conclude from your answer to part (d)? (1 mark)