A recent article in the Daily Mirror newspaper reported that only one in three new college graduates are able to obtain a job. The reason stated is that there is an overabundance of college graduates and a weak economy. A survey of 200 college graduates revealed that 80 had jobs. Using a significance level of a=0.02, conduct a hypothesis test to examine if a larger proportion of college graduates have jobs than the newspapers claim. (a)State the null hypothesis and the alternate hypothesis. HO: It 0.33 (2 marks) (b)State the decision rule for 0.02 significance level. (State your answer to 2 decimal places) Reject Ho if z is > (2 marks) (c) Compute the value of the test statistic. (State your answer to 2 decimal places) Test Statistic = (3 marks) (d) Test at the 0.02 level of significance whether the proportion of college graduates that have jobs is larger than the newspapers claim. v Ho. There is evidence to conclude that a larger proportion of college graduates have jobs than the newspapers claim