A random sample of 145 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest th 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 H₂: 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 t 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 donation differs from 40%. O Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations diffe 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? Yes No

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A random sample of 145 recent donations at a certain blood bank reveals that 81 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
H₂: P = 0.40
a
Ho: P = 0.40
Ha: p > 0.40
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.
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations
differs from 40%.
Reject the null hypothesis. There not 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%.
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?
Yes
No
Transcribed Image Text:A random sample of 145 recent donations at a certain blood bank reveals that 81 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 H₂: P = 0.40 a Ho: P = 0.40 Ha: p > 0.40 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. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. Reject the null hypothesis. There not 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%. 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? Yes No
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