please help solve these questions th

A delivery company found that there were frequent problems in meeting their delivery schedules. In general, 30% of all deliveries are delayed. To try and solve the problem, the company implemented a new delivery system. In a random sample of 100 deliveries using the new system, 26 of the deliveries were not on time. We wish to test at the 5% level of significance if the new delivery system is effective. a. State the alternative hypotheses. Briefly explain your choice of alternative hypothesis. (2 marks) b. Calculate the test statistic. Show your working. (1 mark) c. State the p-value for this test. Provide the probability statement for the p-value and a well-labelled diagram showing the p-value. (2 marks) d. Based on the sample data, do we have sufficient evidence to reject the null hypothesis? Is the new system effective? Explain briefly. (2 marks) e. The company finds the new delivery system ineffective when it is effective, is that a Type I or Type II Error? Explain your reasoning. (2 marks) What is the business implication of this type of error? (1 mark