In a clinical trial, a random sample of 500 participants is used to test a new drug Out of these, 280 participants showed improvement. Test whether the population proportion of improvement differs from 0.55 (let α=0.04). a) State the null and alternative hypotheses associated with the test b) What is the critical value of the associated test statistic? c) What is the calculated value of the associated test statistic? d) What is the p-value of the associated test statistic? e) State your decision about the null hypothesis by comparing the critical and calculated values of the test statistic or by comparing the p-value with a. (

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