If you make the significance level smaller (a) the p-value gets smaller (b) the t critical...

Question

Question

If you make the significance level smaller

(a) the p-value gets smaller

(b) the t critical value moves closer to zero

(c) the probability of a Type I error increases

(d) the probability of a Type II error increases

Answer 1

Answer #1

probability of a Type I error is rejecting the null hypothesis when it is true.

If p-value is less than we reject the null hypothesis,

Answer: (c) the probability of a Type I error increases

Answer 2

Similar Homework Help Questions

If you decided to make the critical p-value or alpha for significance as 0.001 as opposed...

If you decided to make the critical p-value or alpha for significance as 0.001 as opposed to the conventional 0.05, what would the consequences be? Group of answer choices You would be less likely to make a Type I error All of the answers There would be fewer instances when the null hypothesis would be rejected You would be more likely to make a Type II error
Which of the following will increase the power of a significance test? (A) Increase the Type...

Which of the following will increase the power of a significance test? (A) Increase the Type II Error probability (B) Increase the significance level alpha (C) Select a value for the alternative hypothesis closer to the value of the null hypothesis (D) Decrease the sample size. (E) Reject the null hypothesis only if the P-value is smaller than the level of significance.
Q6.) A null hypothesis is not rejected at a given level of significance. As the assumed value of the mean gets further a...

Q6.) A null hypothesis is not rejected at a given level of significance. As the assumed value of the mean gets further away from the true population mean, the Type II error will _____________. A. Increase B. Decrease C. Stay the same D. Randomly fluctuate

26. ____ In analysis of variance, observed mean differences appear, somewhat disguised, as variability a) between...

26. ____ In analysis of variance, observed mean differences appear, somewhat disguised, as variability a) between groups b) between subjects c) within groups d) within subjects 27. ____ When all possible difference between pairs of population means are evaluated not with F test, but a series of regular t tests, the probability of a a) type I error is larger than the level of significance b) type I error is smaller than the level of significance c) type II error...
a. Explain a Type II error and power in context of choosing a smaller level of significance. b. Explain a Type II error...

a. Explain a Type II error and power in context of choosing a smaller level of significance. b. Explain a Type II error and power in context of a greater difference between the null hypothesis claim and the true value of the population parameter.
A significance level for a hypothesis test is given as . Interpret this value. The probability of...

A significance level for a hypothesis test is given as . Interpret this value. The probability of making a Type II error is .99. The smallest value of α that you can use and still reject H0 is .01. There is a 1% chance that the sample will be biased. The probability of making a Type I error is .01.

You take a random sample of size 30 and conduct a hypothesis test at the 5...

You take a random sample of size 30 and conduct a hypothesis test at the 5 % level of significance . If instead , you take a random sample of size 50 and conduct the same hypothesis test at the same 5 % level of significance , what can you say about the probability of a type I and type II error (all else being equal ) ? A. P (Type I errror ) decreases and P (Type II error...
1. a) For a test at a fixed significance level, and with given null and alternative...

1. a) For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? b) For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the significance level was changed from 5% to 1%. c) A test of a given null hypothesis against a given alternative...
Suppose you used 5% significance level to make a decision: you failed to reject Ho. Now,...

Suppose you used 5% significance level to make a decision: you failed to reject Ho. Now, based on your decision, which one of the below sentence is correct: We made type I error We might have made type I error We made type II error We might have made type II error

Find the critical value and rejection region for the type of t-test with level of significance...

Find the critical value and rejection region for the type of t-test with level of significance a and sample size n. Right-tailed test, a = 0.05, n = 37 O A. to = 1.687;t>1.687 OB. to = 1.688;t> 1.688 O c. to = -1.688; t< -1.688 OD. to =2.719;t> 2.719