Question

A random sample of 140 observations is selected from a binomial population with unknown probability of success p. The computed value of p^ is 0.71.

(1) Test H0:p≤0.65 against Ha:p>0.65. Use α=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:p≥0.5 against Ha:p<0.5. Use α=0.01. test statistic z= critical z score The decision is A. There is not sufficient evidence to reject the null hypothesis.

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

(3) Test H0:p=0.65 against Ha:p≠0.65. Use α=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.

Answer 1

1)

from above test statsitic z=1.49

crtiical z score =2.33

There is not sufficient evidence to reject the null hypothesis.

2)

test statsitic z =4.97

crtiical z score=-2.33

There is not sufficient evidence to reject the null hypothesis.

3)

tst statsitic =1.49

positive critical z =2.58

negative critical z =-2.58

There is not sufficient evidence to reject the null hypothesis.