2. Before you solve problem A and B, first categorize it by answering the following question: Are we testing a single mean or a single proportion?( a) What is the level of significance? State the null and alternate hypotheses.( b) What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?( c) Find ( or estimate) the P- value. Sketch the sampling distribution and show the area corresponding to the P- value.( d) Based on your answers in parts ( a) to ( c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?( e) Interpret your conclusion in the context of the application.a. Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part- time or full- time full-time jobs. A random sample of 81 students shows that 39 have jobs. Do the data indicate that more than 35% of the students have jobs? ( Use a 5% level of significance.) Asked on yahoo. 5-28b. The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with A random sample of 94 Nero matchboxes shows the average number of matches per box to be 43.1. Using a 1% level of significance, can you say that the average number of matches per box is more than 40?