Suppose you want to test the claim that mean is not equal 3.5. Given a sample size of n = 45 and a level of
significance of a = 0.10, when should you reject H0 ?
A) Reject H0 if the standardized test statistic is greater than 1.96 or less than -1.96
B) Reject H0 if the standardized test statistic is greater than 1.645 or less than -1.645.
C) Reject H0 if the standardized test statistic is greater than 2.575 or less than -2.575
D) Reject H0 if the standardized test statistic is greater than 2.33 or less than -2.33.
Look up Z scores under a table in the back of your statistics text labeled something like "areas under the normal distribution." There you will find that for a two-tailed test, if Z = 1.96, P = .05. Find the values for the other alternatives to answer your question.
I hope this helps.
Suppose you want to test the claim that Given a sample size of n = 48 and a level of significance of when should you reject ?
To determine when to reject the null hypothesis (H0) in this scenario, we need to calculate the critical value for the test statistic.
The test statistic that follows the standard normal distribution is commonly denoted as Z.
Given that the level of significance (α) is 0.10, we need to find the critical value of Z that corresponds with this significance level.
In option A, the critical value is +/- 1.96, which corresponds to a level of significance of 0.05 (two-tailed test). Therefore, option A is incorrect.
In option B, the critical value is +/- 1.645, which corresponds to a level of significance of 0.05 (one-tailed test). Since the level of significance is 0.10 in this scenario, option B is incorrect as well.
In option C, the critical value is +/- 2.575, which corresponds to a level of significance of 0.005 (two-tailed test). Therefore, option C is also incorrect.
In option D, the critical value is +/- 2.33, which corresponds to a level of significance of 0.01 (two-tailed test). Since the level of significance is 0.10 in this scenario, option D is the correct answer.
Therefore, you should reject the null hypothesis if the standardized test statistic is greater than 2.33 or less than -2.33.