A random sample of 90 observations is selected from a binomial population with u

Question

A random sample of 90 observations is selected from a binomial population with unknown probability of success p. The computed value of p is 0.76.

(1)    Test H0: p 0.6H0: p 0.6 against Ha: p > 0.6 Ha:p > 0.6. Use =0.01

test statistic z=

critical z score     

The decision is

A. There is sufficient evidence to reject the null hypothesis.
B. There is not sufficient evidence to reject the null hypothesis.


(2)    Test H0:p0.55H0: p< 0.55 against Ha:p<0.55Ha:p<0.55. Use =0.01=0.01.

test statistic z=

critical z score     

The decision is

A. There is sufficient evidence to reject the null hypothesis.
B. There is not sufficient evidence to reject the null hypothesis.


(3)    Test H0:p=0.5 H0:p= 0.5 against Ha:p 0.5 Ha:p0.5. Use =0.01

test statistic z=

positive critical z score    

negative critical z score     

The decision is

A. There is sufficient evidence to reject the null hypothesis.
B. There is not sufficient evidence to reject the null hypothesis.

Explanation / Answer

From the statistical software output:

1) Test statistic = 3.0984

Critical value = 2.33

A. There is sufficient evidence to reject the null hypothesis.

2) Test statistic = 4.0045

Critical value = -2.33

B. There is not sufficient evidence to reject the null hypothesis.

3) Test statistic = 4.9332

Positive Critical z score = 2.576

Negative Critical z score = -2.576

A. There is sufficient evidence to reject the null hypothesis.

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