A random sample of 164 recent donations at a certain blood bank reveals that 89 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. USE SALT State the appropriate null and alternative hypotheses. O Ho: P = 0.40 H₂: P = 0.40 O Ho: P = 0.40 H₂: P > 0.40 O Ho: P = 0.40 H₂: P < 0.40 O Ho: P = 0.40 H₂: 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 Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. O Do not reject the null hypothesis. There is not 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 Do not reject the null hypothesis. There is 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 O No

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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GLA2.6 Q2

A random sample of 164 recent donations at a certain blood bank reveals that 89 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.
USE SALT
State the appropriate null and alternative hypotheses.
O Ho: P = 0.40
H₂: P = 0.40
O Ho: P = 0.40
H₂: P > 0.40
Ho: P = 0.40
H₂: P < 0.40
O Ho: P = 0.40
H₂: 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 Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%.
O Do not reject the null hypothesis. There is not 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 Do not reject the null hypothesis. There is 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
O No
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:A random sample of 164 recent donations at a certain blood bank reveals that 89 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. USE SALT State the appropriate null and alternative hypotheses. O Ho: P = 0.40 H₂: P = 0.40 O Ho: P = 0.40 H₂: P > 0.40 Ho: P = 0.40 H₂: P < 0.40 O Ho: P = 0.40 H₂: 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 Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. O Do not reject the null hypothesis. There is not 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 Do not reject the null hypothesis. There is 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 O No You may need to use the appropriate table in the Appendix of Tables to answer this question.
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