State the appropriate null and alternative hypotheses. Ho: P 0.40 Ha: P = 0.40 Ho: P = 0.40 Ha: p > 0.40 Ho: P = 0.40 Ha: P < 0.40 Ho: 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. 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 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? Yes No

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A random sample of 146 recent donations at a certain blood bank reveals that 82 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.
Ho: P = 0.40
Ha: P = 0.40
Ho: P = 0.40
Ha: p > 0.40
Ho: P = 0.40
Ha: p < 0.40
Ho: 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 not 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%.
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%.
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 146 recent donations at a certain blood bank reveals that 82 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. Ho: P = 0.40 Ha: P = 0.40 Ho: P = 0.40 Ha: p > 0.40 Ho: P = 0.40 Ha: p < 0.40 Ho: 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 not 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%. 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%. Would your conclusion have been different if a significance level of 0.05 had been used? O Yes O No
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