Question 4 (Refer to Section 6.1) In this question, you will perform a hypothesis test using statistical theory, rather than bootstrap and randomisation distributions. Use the methods described in section 6.1 of the lecture notes and course textbook. In answering the questions below make sure you use appropriate notation where necessary. Do you believe in ghosts? Data collected from 1000 randomly selected adults found that 30% believed in ghosts. Does this provide enough evidence that more than 25% of adults believe in ghosts? Determine at a 5% significance level (a). (i) What are the null and alternative hypotheses for the research question highlighted above? (ii) Calculate the test statistic. Include your working. (iii) Explain what conditions are necessary for this test and check they are met. (iv) Calculate the p-value for this test. (v) Use your p-value to assess the strength of evidence against the null hypothesis, in context