I need help with the random variable problem. If you could provide a brief explanation. Thank you for all of your help.

- 15 points Devore State 8 . E . 045 My Notes + Ask Your Teacher A random sample of 148 recent donations at a certain blood bank reveals that 85 were type A blood . Does this suggest that the actual percentage of type A donations differs from 40% , the percentage of the population having type A blood ? Carry out a test of the appropriate hypotheses using a significance level of 0. 01 State the appropriate null and alternative hypotheses 0: 0 = 0 .40 HIPS 0. 40 Ho : p # 0.40 Hai = 0.40 HO : = 0. 40 HAD * 0.40 HO : D = 0. 40 Ha : 1 5 0.40 Calculate the test statistic and determine the P - value . ( Round your test statistic to two decimal places and your P - value to four decimal places . ) P - value State the conclusion in the problem context Reject the null hypothesis . There is sufficient evidence to conclude that the percentage of type A donations differs from 40 Do not reject the null hypothesis . There is not sufficient evidence to conclude that the percentage of type A donations differs from 40% Do not reject the null hypothesis . There is sufficient evidence to conclude that the percentage of type A donations differs from 40 % Reject the null hypothesis . There is not sufficient evidence to conclude that the percentage of type A donations differs from 40% Would your conclusion have been different if a significance level of 0 .05 had been used ? O es NO You may need to use the appropriate table le in the Appendix of Tables to answer this question Need Help ? Read Talk to a Tuto