Question

If you conduct a hypothesis test and conclude the null hypothesis is rejected at a 5%...

If you conduct a hypothesis test and conclude the null hypothesis is rejected at a 5% level of significance, then it _____.

a)

will never be tested at the 1% level

b)

will always be rejected at the 1% level

c)

may be rejected or not rejected at the 1% level

d)

will always be accepted at the 1% level

Homework Answers

Answer #1

One reject a null hypothesis at level of significance if P-value <

That means,

One will reject a null hypothesis at 5% level of significance if P-value < 0.05

Now,

if P-value < 0.05 is already known that will definitely ensure P-value < 0.01

Hence,

If you conduct a hypothesis test and conclude the null hypothesis is rejected at a 5% level of significance, then it -

ans-> b) will always be rejected at the 1% level

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
1.) Choose the true statement. a.) If a null hypothesis is rejected for a test statistic...
1.) Choose the true statement. a.) If a null hypothesis is rejected for a test statistic at the α=0.05 level, then at the α=0.01 level it would never reject. b.) If a null hypothesis is rejected for a test statistic at the α=0.05 level, then at the α=0.01 level it would always reject. c.) If a null hypothesis is rejected for a test statistic at the α=0.05 level, then at the α=0.01 level it may or may not reject. 2.)...
Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level;...
Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level. The most accurate statement that can be made about the p-value for this test is that: p-value = 0.01. p-value = 0.10. 0.01 < p-value < 0.05. 0.05 < p-value < 0.10. Complete the sentence: If we do not reject the null hypothesis, we conclude that _____....
If a two-sided null hypothesis is not rejected for a single mean at a given significance...
If a two-sided null hypothesis is not rejected for a single mean at a given significance level, the corresponding one-sided null hypothesis (i.e., the same sample size, the same standard deviation and the same mean) will _________ be rejected at the same significance level. A. Always B. Sometimes C. Never
32. If a one-sided null hypothesis is rejected at a given significance level, then the corresponding...
32. If a one-sided null hypothesis is rejected at a given significance level, then the corresponding two-sided null hypothesis (i.e., the same sample size, the same standard deviation and the same mean) will be _______ rejected at the same significance level A. never B. always C. sometimes
Using the critical value rule, if a two-sided null hypothesis cannot be rejected for a single...
Using the critical value rule, if a two-sided null hypothesis cannot be rejected for a single mean at a given significance level, then the corresponding one-sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean) will ______________ be rejected at the same significance level. a. never b. sometimes c. always
State T OR F? A)If a null hypothesis is rejected in favor of the alternative at...
State T OR F? A)If a null hypothesis is rejected in favor of the alternative at the 1% level, then using the same data, it must be rejected in favor of the alternative at the 5% level. B)If a null hypothesis is rejected against an alternative at the 5% level and at the 1% level, then you should report that the null was rejected at the 1% significance level. Reporting that it was also rejected at the 5% is redundant...
1. In testing a null hypothesis H0 versus an alternative Ha, H0 is ALWAYS rejected if...
1. In testing a null hypothesis H0 versus an alternative Ha, H0 is ALWAYS rejected if A. at least one sample observation falls in the non-rejection region. B. the test statistic value is less than the critical value. C. p-value ≥ α where α is the level of significance. 1 D. p-value < α where α is the level of significance. 2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0, suppose Z...
In a hypothesis testing problem, the decision as to whether the null hypothesis should be rejected...
In a hypothesis testing problem, the decision as to whether the null hypothesis should be rejected or not can be made by comparing the level of significance and the observed level of significance. The null hypothesis should be rejected if: A) the level of significance is bigger than the (nonzero) observed level of significance B) the level of significance is equal to one half of the (nonzero) observed level of significance C) the level of significance is smaller than the...
1. The P-value of a test of the null hypothesis is a. the probability the null...
1. The P-value of a test of the null hypothesis is a. the probability the null hypothesis is true. b. the probability the null hypothesis is false. c. the probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed. d. the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed. 2. The P-value...
Using either the critical value rule or the P-Value rule, if a one-sided null hypothesis for...
Using either the critical value rule or the P-Value rule, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis (i.e., the sample size, the same standard deviation, and the same mean) will __________ be rejected at the same significance level. a. Always b. Sometimes c. Never