Question

ohn ran an experiment and found the "t" value to be significant at the .05 level....

ohn ran an experiment and found the "t" value to be significant at the .05 level. In actual fact the null hypothesis is true. What error has John committed and what are his chances of doing so?

Type I error; 1 chance in 20.
Type I error; 1 chance in 100.
Type II error; 1 chance in 20.
Type II error; about 85% chance
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Here, we have found the t statistic to be significant at 5% level of significance, which means that we reject the null hypothesis at that level of significance. But we are given here that in reality the null hypothesis is true. Rejecting a true null hypothesis is called Type I error.

Also the probability of type I error is equal to the level of significance which is 0.05 here that is 1 in 20.

Therefore Type I error, 1 chance in 20 is the correct answer here.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Setting the significance level cutoff at .10 instead of the more usual .05 increases the...
1. Setting the significance level cutoff at .10 instead of the more usual .05 increases the likelihood of a. a Type I error. b. a Type II error. c. failing to reject the null hypothesis. d. accepting the null hypothesis when, in fact, it is false. 2. A Type I error is the result of a. improper measurement techniques on the part of the researcher. b. failing to reject the null hypothesis when, in fact, it is true. c. incorrectly...
Setting the significance level cutoff at .10 instead of the more usual .05 increases the likelihood...
Setting the significance level cutoff at .10 instead of the more usual .05 increases the likelihood of A. a Type I error. B. accepting the null hypothesis when, in fact, it is false. C. a Type II error. D. failing to reject the null hypothesis.
Question 26: (Pt. 1) If our obtained/calculated positive t value is greater than our critical positive...
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...
An engineer is designing an experiment to test if airplane engines are faulty and unsafe to...
An engineer is designing an experiment to test if airplane engines are faulty and unsafe to fly. The engineer expects 0.0001% of engines to be unsafe. The null hypothesis is that the probability of an unsafe engine is less than or equal to 0.1% and the alternative hypothesis is that the probability the engine is unsafe is greater than 0.1%. We consider two types of errors in the hypothesis testing: a Type I error and Type II error. A Type...
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...
T F 1. A p-value of .008 in hypothesis testing means there is only a .8%...
T F 1. A p-value of .008 in hypothesis testing means there is only a .8% chance we could get such sample statistics from the population if the null hypothesis is as stated. Such an event is considered unlikely and we would reject the null hypothesis. T F 2. As a general rule in hypothesis testing, it is always safer to set up your alternate hypothesis with a greater-than or less-than orientation. _____3. If the level of significance is .02...
Consider the following statements. (i) If a hypothesis is tested at the 5% significance level with...
Consider the following statements. (i) If a hypothesis is tested at the 5% significance level with a given data set, then there is a lower chance that the null hypothesis will be rejected than if that same hypothesis is tested at the 1% significance level with the same data set. (ii) P(Type I Error) + P(Type II Error) = 1. (iii) If a hypothesis test is performed at the 5% significance level, and if the alternative hypothesis is actually true,...
1 The probability of type II error becomes bigger if the level of significance is changed...
1 The probability of type II error becomes bigger if the level of significance is changed from 0.01 to 0.05. True False 2 Increasing the sample size reduces the probability of committing a Type I and Type II simultaneously. True False 3 In testing a hypothesis about a population mean with an unknown population standard deviation (σ ) the degrees of freedom is used in the denominator of the test statistic. True False 4 When a researcher fails to reject...
Five years? ago, 10.3?% of high school students had tried marijuana for the first time before...
Five years? ago, 10.3?% of high school students had tried marijuana for the first time before the age of 13. A school resource officer? (SRO) thinks that the proportion of high school students who have tried marijuana for the first time before the age of 13 has increased since then. ?(a) Determine the null and alternative hypotheses. Which of the following is? correct? A. Upper H 0?: pequals0.103?; Upper H 1?: pgreater than0.103 B. Upper H 0?: pequals0.103?; Upper H...
If the alpha level is changed from .05 to .01, what affect does that have on...
If the alpha level is changed from .05 to .01, what affect does that have on beta? Beta decreases Beta increases beta is unaffected cannot be determined 3 points    QUESTION 18 If alpha is 0.05 and the p value for your obtained statistic is 0.01, you could be making a _________. either a Type II error or correct decision either a Type II error or a Type I error either a Type I error or a correct decision all...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT