12. [-/10.41 Points] DETAILS DEVORESTAT9 8.4.045.S. MY NOTES ASK YOUR TEACHER A random sample of 146 recent donations at a certain blood bank reveals that 88 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. LO USE SALT State the appropriate null and alternative hypotheses. OH : P = 0.40 Ha: p 0.40 OH : P # 0.40 Ha: p = 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.) Z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. O Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. O 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 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 Yes No You may need to use the appropriate table in the Appendix of Tables to answer this