Question

1. You have a two-tailed test. The t critical value is 2.36 and the test statistic is 3.11. Assume the null hypothesis is true. The result is (a) Type I error (b) Type II error (c) Correct decision

2. You have a right-tailed test. The t critical value is 1.74 and the test statistic is 1.46. Assume the null hypothesis is true. The result is (a)Type I error (b) Type II error (c) Correct decision

3. You have a right-tailed test. The t critical value is 2.13 and the test statistic is 2.04. Assume the null hypothesis is false. The result is (a)Type I error (b) Type II error (c) Correct decision

4. You have a left-tailed test. The t critical value is -1.66 and the test statistic is -2.11. Assume the null hypothesis is false. The result is (a)Type I error (b) Type II error (c) Correct decision

5. You have a hypothesis test. The p-value is 0.038 and the significance level is 0.04. Assume the null hypothesis is false. The result is (a)Type I error (b) Type II error (c) Correct decision

Answer #1

1. a) type 1 error

Calculated test statistic value is greater than critical value , reject null hypothesis

Type 1 error is rejecting a true hypothesis.

2. c) correct decision

Calculated test statistic value is less than critical value. Accept null hypothesis

Correct decision is accept null hypothesis when it is true.

3. b) Type 2 error

Calculated test statistic value is less than critical value. Accept null hypothesis.

Type 2 error is when null hypothesis is false and we accept null hypothesis

4. b)Type 2 error

Calculated test statistic value is less than critical value. Accept null hypothesis

Type 2 error is accept null hypothesis when null hypothesis is false

5. c) Correct decision

P value is less than significance level. Reject null hypothesis

Reject null hypothesis when it is false

Assume the computed t-statistic was t0=1.987
Find the t-critical value for a one-tailed test at the 0.05
significance level with 19
degrees of freedom. Is there sufficient evidence to reject the
null hypothesis?
Find the t-critical value for a one-tailed test at the 0.05
significance level with a sample
size of 30. Is there sufficient evidence to reject the null
hypothesis?
Find the t-critical value for a two-tailed test at the 0.05
significance level with 15
degrees of freedom. Is...

Question 26: (Pt. 1) If our obtained/calculated positive
t value is greater than our critical positive t value,
we:
A. have made a Type II error
B. have made a Type I error
C. reject the null hypothesis
D. retain the null hypothesis
(Pt. 2) If we reject the null hypothesis when in reality
the null hypothesis is true, we have:
A. made a Type 2 error
B. made a Type 1 error
C. made the correct decision
D. none...

1. All else held constant...
What happens to the magnitude of your test statistic if your sample
size increases?
Select one:
a. It increases in magnitude.
b. It decreases in magnitude.
c. Its magnitude does not change.
d. The magnitude will either increase or decrease, depending on
the initial value of β.
2. In a two-tail test of the population mean, if the null
hypothesis is rejected when the null hypothesis is false then
Select one:
a. a Type I...

1.) One tailed test or two tailed test?
You are performing a hypothesis test for the mean sample weight
of your fellow Intro to Statistics students. For your null
hypothesis , the hypothesized mean weight for the entire campus
student body is 165. You have no reason to know for your
alternative hypothesis whether the actual mean weight for the
entire student campus body is more or less than 165. So you decide
to make your alternative hypothesis as not...

1. A null hypothesis states that there is
A. No significant difference between a population parameter and
sample statistic.
B. A significant difference between a population parameter and
sample statistic.
C. The difference between the population parameter and sample
statistic is significant and can be attributed to sampling
error.
D. The difference between the population parameter and sample
statistic is insignificant and cannot be attributed to sampling
error.
E. None of the above
2. An alternative hypothesis states that there...

We have a left tail one sample test for the population mean.
Assume the null hypothesis is true. Use 4% for the significance
level. The sample size is 27, the sample mean is 32.8, the sample
standard deviation is 4.1, and the null mean is 35.
The test result is (a) a correct decision (b) a Type I error (c)
a Type II error 3.
The test statistic value for the previous problem is

10. In each part, we have given the value obtained for the test
statistic z in a one-mean z-test. We have also specified whether
the test is two tailed, left tailed, or right tailed. Determine the
P-value in each case and decide whether, at the 5% significance
level, the data provide sufficient evidence to reject the null
hypothesis in favor of the alternative hypothesis. EXPLAIN AND SHOW
ALL WORK
a. z = −1.25; left-tailed test
b. z = 2.36; right-tailed...

If one is making a two-tailed test and the value of the z test
statistic is -11.12, a correct conclusion from this is
Group of answer choices:
do not reject HO
a type II error has been made.
reject HO
reject HO at the .05 level but not at the .01 level.

For a one-tail (lower) hypothesis test, if the z- or t-test
statistic exceeds the critical value, we do not reject the null
hypothesis.
Select one:
True
False

If your critical value is 1.7 then you are running a:
left tailed test
two tailed test
unable to determine from this information
right tailed test
If your critical value is 1.7 and the test statistic is 0.7 you
would:
fail to reject the Ho
reject the Ho
unable to determine from this information
accept the Ho
If your critical value is 1.7 and the test statistic is 0.7 you
would be:
unable to show that the average is less...

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