random sample of 156 recent donations at a certain blood bank reveals that 87 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 o A USE SALT State the appropriate null and alternative hypotheses. Hg:p= 0.40 Hp0.40 O Hại p = 0.40 O Hại p-0.40 Hp> 0.40 O Hg: p= 0.40 HP0.40 Calculate the test statistic and determine the Pvalue. (Round your test statistic to two decimal places and your Pvalue to four decimal places.) 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%. • Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations điffers from 40%. 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%.

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Chapter1: Combinatorial Analysis
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z and p value

A random sample of 156 recent donations at a certain blood bank reveals that 87 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.
n USE SALT
State the appropriate null and alternative hypotheses.
O Ho: p = 0.40
H: p # 0.40
O Ho: p = 0.40
H: p < 0.40
O Ho: p = 0.40
H: p > 0.40
O Ho:p # 0.40
H: 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
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%.
O 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
O No
Transcribed Image Text:A random sample of 156 recent donations at a certain blood bank reveals that 87 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. n USE SALT State the appropriate null and alternative hypotheses. O Ho: p = 0.40 H: p # 0.40 O Ho: p = 0.40 H: p < 0.40 O Ho: p = 0.40 H: p > 0.40 O Ho:p # 0.40 H: 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 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%. O 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 O No
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