9)
Solution :
A null hypothesis is rejected at = 5% .
So more than = 5% will be
rejected in any situation .
=
20%
d)
9. (Bonus: 5 points) A researcher rejected a null hypothesis in a test when α 5%....
11. If the null hypothesis is rejected at a 05 significance level, it (a) must also be rejected at a.10 significance level. (b) might also be rejected at a .10 significance level. (c) must not be rejected at a.10 significance level. (d) none of the above lfte null hypothesis İs not rejected at a .05 significance level, it: (a) will also not be rejected at a.01 significance level. (b) might be rejected at a .01 significance level. (e) will be...
. When we carry out a statistical test with significance level α = 5%, the probability of rejecting the null hypothesis when it is true is 5%. Suppose that we independently select 5 random samples of size 100, and for each sample carry out the same statistical test with significance level 5%. We know that the null hypothesis is true. What is the probability that we reject the null hypothesis at most once out of the 5 tests? (a) 0.02...
Explain why the null hypothesis is rejected when the test value exceeds or is equal to the critical value
Assume a researcher published a paper rejecting a null hypothesis at the 1% level of significance (that is, α = 0.01), which of the following statements is true? The finding may not be significant since it was not tested at an alpha level of 0.05 You cannot make any assumptions about the alpha at the 5% level without first calculating the value from the published data It is 5 times as likely the null hypothesis would be accepted at the...
suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of freedom for your t test. Answer the following questions: a) If test statistics t-2.25 5, use the rejection region to decide if Ho be rejected or not at a .0.05? Include a sketch, clearly label critical value(s) and rejection and nonrejection regions. b) If test statistics was t-1.14, use a 0.05, compute the p-value and decide if Ho b rejected or not...
If a null hypothesis is rejected at a significance level of 1%,
then we should say that it was rejected at 1%. Reporting that the
null was also rejected at the 5% level of significance is
unnecessary and unwise.
True
False
The p-value equals alpha, the level of significance of the
hypothesis test.
True
False
THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING
INFORMATION:
Let X1, X2,
X3, and X4 be a random
sample of observations from a population with...
Please answer all parts.
9. A occurs when the null hypothesis is rejected (accepted), when in fact the null hypothesis is true. 10. The power function is the probability of (accepting, rejecting) the null hypothesis for values of the null or alternative hypothesis as appropriate.
(a) When a null hypothesis is rejected, there is risk of committing which type of error? (b) When a null hypothesis is not rejected, there is risk of committing which type of error?
α is the probability of a Type I error, which occurs when we accept the alternative H1 when the null hypothesis Ho is true. True False A Type II error occurs when when a false null hypothesis is rejected. True False If a null hypothesis is rejected at the 5% significance level but not at the 1% significance level, then the p-value of the test is less than 1%. True False The power of a test is the probability of...
QUESTION 49 Assume a researcher published a paper rejecting a null hypothesis at the 1 % level of significance (that is, alpha-001). O a. The finding may not be significant since it was not tested at an alpha level of 0.05 b. You will also reject the null hypothesis at the 5% level of significance since alpha level of 0.01 is a more stringent test ] c. You cannot make any assumptions about the alpha at the 5% level without...