random sample of 144 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.   State the appropriate null and alternative hypotheses. H0: p = 0.40 Ha: p < 0.40H0: p = 0.40 Ha: p > 0.40    H0: p ≠ 0.40 Ha: p = 0.40H0: 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. 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%.    Do not 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 not sufficient evidence to conclude that the percentage of type A donations differs from 40%.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A random sample of 144 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.

 

State the appropriate null and alternative hypotheses.

H0p = 0.40
Hap < 0.40H0p = 0.40
Hap > 0.40    H0p ≠ 0.40
Hap = 0.40H0p = 0.40
Hap ≠ 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.

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%.    Do not 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 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?

YesNo    


You may need to use the appropriate table in the Appendix of Tables to answer this question.

A random sample of 144 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.
n USE SALT
State the appropriate null and alternative hypotheses.
O Ho: p = 0.40
H:p < 0.40
O Ho: p = 0.40
Ha: p > 0.40
O Ho: p + 0.40
H: p = 0.40
O 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 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%.
O Do not 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 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
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:A random sample of 144 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. n USE SALT State the appropriate null and alternative hypotheses. O Ho: p = 0.40 H:p < 0.40 O Ho: p = 0.40 Ha: p > 0.40 O Ho: p + 0.40 H: p = 0.40 O 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 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%. O Do not 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 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 You may need to use the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
Step 1

We have given that 

Sample size n =144

Favorable cases x=89

Sample proportion p^=x/n 

=89/144

=0.6181

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