1. When performing a hypothesis test and the population standard deviation is known, what is the p-value for a test-statistic of -1.63? Round your answer to 4 decimal places.
2. if alpha = .01, then we say we are using a 1% level of significance. This means that in 100 similar situations, How would be rejected _____ time(s), on average, when it should not have been rejected. (your answer should be a number)
3. True or False: The p-value of a test statistic is the probability of our event happening while the alpha value is the probability we have made a mistake with our null hypothesis.
4. True or False: If the P value < alpha, then we do not reject the null hypothesis.
5. True or False: In a statistical test, usually, we do not know if an error has been made, and therefore, we can talk about only the probability of making an error.
6. True or False: If we fail to reject the null hypothesis, then we are proving the accuracy of the null hypothesis.
7. True or False: We use information from a sample to determine if we should reject or not reject the null hypothesis. However, we know that there will be variability among samples. A difference is likely to occur regardless of the truth of the null hypothesis. Essentially, a statistical test determines if the difference is significant enough to warrant rejecting the null hypothesis.
8. If we are performing a test at the .05 significance level (alpha = .05) then the probability of making a Type 1 error is what percentage?
a. A left-tailed test is being performed. We determine that the value of the test statistic is -1.75. Would we reject or fail to reject the null hypothesis at the alpha = .05 level?
b. A left-tailed test is being performed. We determine that the value of the test statistic is -1.75. Would we reject or fail to reject the null hypothesis at the alpha = .01 level?