A random sample of 100100 observations is selected from a binomial population with unknown probability of success pp. The computed value of p^p^ is 0.60.6. (1) Test H0:p=0.6H0:p=0.6 against Ha:p>0.6Ha:p>0.6. Use α=0.01α=0.01. test statistic z=z= critical zz score The final conclusion is
A random sample of 100100 observations is selected from a binomial population with unknown probability of success pp. The computed value of p^p^ is 0.60.6.
(1) Test H0:p=0.6H0:p=0.6 against Ha:p>0.6Ha:p>0.6. Use α=0.01α=0.01.
test statistic z=z=
critical zz score
The final conclusion is
A. We can reject the null hypothesis that p=0.6p=0.6 and accept that p>0.6p>0.6.
B. There is not sufficient evidence to reject the null hypothesis that p=0.6p=0.6.
(2) Test H0:p=0.55H0:p=0.55 against Ha:p<0.55Ha:p<0.55. Use α=0.05α=0.05.
test statistic z=z=
critical zz score
The final conclusion is
A. We can reject the null hypothesis that p=0.55p=0.55 and accept that p<0.55p<0.55.
B. There is not sufficient evidence to reject the null hypothesis that p=0.55p=0.55.
(3) Test H0:p=0.5H0:p=0.5 against Ha:p≠0.5Ha:p≠0.5. Use α=0.05α=0.05.
test statistic z=z=
positive critical zz score
negative critical zz score
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that p=0.5p=0.5.
B. We can reject the null hypothesis that p=0.5p=0.5 and accept that p≠0.5p≠0.5.
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