Question

Question 3.3. Solve the problem. A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, β, given that the true value of the population proportion is 0.72. The sample size is 50 and the significance level is 0.05. 0.4129 0.5754 0.7123 0.9706 11. Solve the problem. For large numbers of degrees of freedom, the critical χ2 values can be approximated as follows: χ2 = 12(z + 2k - 1)2, where k is the number of degrees of freedom and z is the critical value. To find the lower critical value, the negative z-value is used, to find the upper critical value, the positive z-value is used. Use this approximation to estimate the critical value of χ2 in a right-tailed hypothesis test with n = 143 and α = 0.01. χ2 ≈ 183.411 χ2 ≈ 189.286 χ2 ≈ 188.134 χ2 ≈ 184.549 Question 12.12. Solve the problem. A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, β, given that the true value of the population proportion is 0.72. The sample size is 50 and the significance level is 0.05. 0.4129 0.7123 0.5754 0.9706 19. Hypothesis testing is part of _________________. Descriptive statistics Inferential statistics Pie chart Decision support systems Question 20.20. The null hypothesis statement is the same as the alternate hypothesis statement. True False Question 21.21. The p-value is based on the assumption that the null hypothesis is false. True False Question 22.22. With hypothesis testing, do we ever Reject H1? Yes No Question 23.23. A Type I error is when we reject H0 when it is true. True False Question 24.24. A Type II error is when we do not reject H1 when it is true. True False Question 25.25. A Type II error is when we do not reject H0 when it is false. True False

Question 3.3. Solve the problem.
A hypothesis test is performed to test the claim that a population proportion is greater than 0.7.
Find the probability of a type II error, β, given that the true value of the population proportion is 0.72. The sample size is 50 and the significance level is 0.05.
0.4129
0.5754
0.7123
0.9706

11. Solve the problem.
For large numbers of degrees of freedom, the critical χ2 values can be approximated as follows:
χ2 = 12(z + 2k - 1)2,
where k is the number of degrees of freedom and z is the critical value. To find the lower critical value, the negative z-value is used, to find the upper critical value, the positive z-value is used.
Use this approximation to estimate the critical value of χ2 in a right-tailed hypothesis test with n = 143 and α = 0.01.
χ2 ≈ 183.411
χ2 ≈ 189.286
χ2 ≈ 188.134
χ2 ≈ 184.549

Question 12.12. Solve the problem.
A hypothesis test is performed to test the claim that a population proportion is greater than 0.7.
Find the probability of a type II error, β, given that the true value of the population proportion is 0.72. The sample size is 50 and the significance level is 0.05.
0.4129
0.7123
0.5754
0.9706

19. Hypothesis testing is part of _________________.
Descriptive statistics
Inferential statistics
Pie chart
Decision support systems

Question 20.20. The null hypothesis statement is the same as the alternate hypothesis statement.
True
False

Question 21.21. The p-value is based on the assumption that the null hypothesis is false.
True
False

Question 22.22. With hypothesis testing, do we ever Reject H1?
Yes
No

Question 23.23. A Type I error is when we reject H0 when it is true.
True
False

Question 24.24. A Type II error is when we do not reject H1 when it is true.
True
False

Question 25.25. A Type II error is when we do not reject H0 when it is false.
True
False

Added by Erin E.