(2 points) A random sample of 110 observations is selected from a binomial popul
ID: 3357086 • Letter: #
Question
(2 points) A random sample of 110 observations is selected from a binomial population with unknown probability of success pp. The computed value of p^ is 0.750.
(1) Test H0:p0.6 against Ha:p>0.6. Use =0.05.
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.
(2) Test H0:p0.5 against Ha:p<0.5. Use =0.05.
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=0.5 against Ha:p0.5. Use =0.01.
test statistic z=
positive critical z score
negative 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.
Explanation / Answer
From the statistical software outputs, the required test statistic will be:
1) Test statistic = 3.211
Critical value = 1.645
B. There is sufficient evidence to reject the null hypothesis.
2) Test statistic = 5.244
Critical z score = -1.645
A. There is not sufficient evidence to reject the null hypothesis.
3) Test statistic = 5.244
Positive critical z score = 2.576
Negative critical z score = -2.576
B. There is sufficient evidence to reject the null hypothesis.
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