Question

The p-value is greater than the significance level. (a) We can have a Type I error...

The p-value is greater than the significance level.

(a) We can have a Type I error

(b) The absolute value of the test statistic is less than the absolute value of the t critical value

(c) If we had used a larger value for alpha the p-value would have been smaller

(d) We must have had a two tail test

Homework Answers

Answer #1

(b) The absolute value of the test statistic is less than the absolute value of the t critical value.

We know the decision rule in terms of p-value and critical value are given as below:

We reject the null hypothesis when the p-value is less than the alpha value or level of significance and we do not reject the null hypothesis when the p-value is greater than the alpha value.

We reject the null hypothesis when the absolute test statistic value is greater than the absolute critical value, and we do not reject the null hypothesis when the absolute test statistic value less than the critical value.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We have a one sample test for the population mean. The significance level is a fixed...
We have a one sample test for the population mean. The significance level is a fixed value. Suppose we increase the sample size. Assume the true mean equals the null mean. (a) The t critical value moves closer to zero. (b) The size of the rejection region decreases (c) The probability of a Type I error decreases (d) The probability of a Type I error increases
Multiple Choice Questions Q1. In a hypothesis test, Beta is best described by P (Type I...
Multiple Choice Questions Q1. In a hypothesis test, Beta is best described by P (Type I error) P (Test Stat>|Observed Stat|) Power P (Type II error) Q2. Which alternative hypothesis would I need to double the p-value in a test for the mean? No feasible answer Lower tailed alternative Two sided alternative Upper tailed alternative Suppose our p-value is .184. What will our conclusion be at alpha levels of .10, .05, and .01? We will reject Ho at alpha=.10 or...
For the given significance test, explain the meaning of a Type I error, a Type II...
For the given significance test, explain the meaning of a Type I error, a Type II error, or a correct decision as specified. A health insurer has determined that the "reasonable and customary" fee for a certain medical procedure is $1200. They suspect that the average fee charged by one particular clinic for this procedure is higher than $1200. The insurer performs a significance test to determine whether their suspicion is correct using α = 0.05. The hypotheses are: H0:...
1. Which of the following statements is correct? a. For a given level of significance, the...
1. Which of the following statements is correct? a. For a given level of significance, the critical value of Student's t increases as n increases. b. A test statistic of t = 2.131 with d.f. = 15 leads to a clear-cut decision in a two-tailed test at d = .05. c. It is harder to reject the null hypothesis when conducting a two-tailed test rather than a one-tailed test. d. If we desire α = 0.10 then a p-value of...
Statistical significance (alpha level; p-value) reflects the odds that a particular finding could have occurred by...
Statistical significance (alpha level; p-value) reflects the odds that a particular finding could have occurred by chance. If the p-value for a difference between two groups is 0.05, it would be expected to occur by chance just 5 times out of 100 (thus, it is likely to be a “real” difference). We define a p-value of less than 0.05 to indicate statistical significance. Suppose a pizza place claims their delivery times are 30 minutes or less on average but you...
a. We are testing H0: μ1 - μ2 = 0. Our 95% confidence interval is (-23.95,-7.41)....
a. We are testing H0: μ1 - μ2 = 0. Our 95% confidence interval is (-23.95,-7.41). We should expect the t-statistic to be _____( greater than 2 /between 0 and 2/ between 0 and -2 /less than -2) . We should expect the p-value to be _______ (less than .05/ greater than .05/ equal to .05). We should ______(reject /fail to reject)  H0 and conclude that the group 1 population average is _____(smaller/ larger) than the group 2 population average. It...
1. You have a two-tailed test. The t critical value is 2.36 and the test statistic...
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...
  Provide a real world example of a Type I error. 2.  Explain what a critical value is,...
  Provide a real world example of a Type I error. 2.  Explain what a critical value is, and explain how it is used to test a hypothesis. 3.  Explain what a p-value is, and explain how it is used to test a hypothesis. 4.  How do we decide whether to use a z test or a t test when testing a hypothesis about a population mean?
Suppose that before we conduct a hypothesis test we pick a significance level of ?. When...
Suppose that before we conduct a hypothesis test we pick a significance level of ?. When the test is conducted, we get a p-value of 0.023. Given this p-value, we a. can reject the null hypothesis for any significance level, ?, greater than 0.023. b. cannot reject the null hypothesis for a significance level, ?, greater than 0.023. c. can reject the null hypothesis for a significance level, ?, less than 0.023. d. draw no conclusion about the null hypothesis.
Assume that the significance level is alpha equals 0.05. Use the given information to find the?...
Assume that the significance level is alpha equals 0.05. Use the given information to find the? P-value and the critical? value(s). The test statistic of z = -1.07 is obtained when testing the claim that p greater than 0.4.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT