random sample of 110 observations is selected from a binomial population with unknown probability of success p. The computed value of p^ is 0.77 (1)    Test H0: p=0.5 against Ha: p>0.5. Use α=0.01. test statistic z= critical z*score     The final conclusion is A. We can reject the null hypothesis that p=0.5 and accept that p>0.5 B. There is not sufficient evidence to reject the null hypothesis that p=0.5

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A random sample of 110 observations is selected from a binomial population with unknown probability of success p. The computed value of p^ is 0.77
(1)    Test H0: p=0.5 against Ha: p>0.5. Use α=0.01.

test statistic z=

critical z*score    

The final conclusion is

A. We can reject the null hypothesis that p=0.5 and accept that p>0.5
B. There is not sufficient evidence to reject the null hypothesis that p=0.5

(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. There is not sufficient evidence to reject the null hypothesis that p=0.55p=0.55.
B. We can reject the null hypothesis that p=0.55p=0.55 and accept 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=0.01α=0.01.

test statistic z=z= 

positive critical zz score    

negative critical zz score    
The final conclusion is

A. We can reject the null hypothesis that p=0.5p=0.5 and accept that p≠0.5p≠0.5.
B. There is not sufficient evidence to reject the null hypothesis that p=0.5p=0.5.

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