Which of the following is the correct definition of Power? It is the likelihood that an investigator fails to rejects a null hypothesis that is false and should have been rejected. It is the likelihood that an investigator fails to reject a null hypothesis that is true and should have been rejected. It is the likelihood that an investigator rejects a null hypothesis that is true and should have been rejected. It is the likelihood that an investigator rejects a null hypothesis that is true and should not have been rejected.

Suppose that you are considering whether to publish a weekly alternative newspaper on campus. You decide to survey a random sample of students on your campus to ask if they would be likely to read such a newspaper. Your plan is to proceed with publication only if the sample data provide strong evidence that more than 10% of all students on your campus would be likely to read such a newspaper. The parameter of interest is the proportion of all students who would likely read an alternative campus newspaper. The null hypothesis = 0.10 and the alternative hypothesis is greater (>) than 0.10. -What is power in the context of this problem?

We are comparing two samples during a hypothesis test. Sample A has a z-test statistic of 1.58 and sample B has a z-test statistic of -0.34. We can say then that... If H-naught is true, then Sample B has a higher probability of occurring while Sample A has a lower probability of occurring. If H-naught is true, then Sample A has a higher probability of occurring while Sample B has a lower probability of occurring. We reject the null hypothesis. If H-naught is rejected, then Sample A has a higher probability of occurring while Sample B has a lower probability of occurring.

It has recently been claimed that 25% of adults consider spring to be their favorite season of the year. A researcher is skeptical of this claim and believes this percentage to be too low. She surveys a random of 1000 adults and find that 390 of these adults consider spring to be their favorite season of the year. As she prepares to conduct a hypothesis test, the researcher writes out her alternative hypotheses as  P< 0.25 what is wrong with this?   The alternative hypothesis should be p<0.39 The alternative hypothesis should be p>0.39 The alternative hypothesis should bep>0.25 The alternative hypothesis should bep=0.25

Which of the following below could be the null hypothesis ? ( look at the image )

When the independent variable has more than two levels, a researcher cannot just run multiple t tests, because as more statistical tests are run:   Question 3 options:   it becomes increasingly more difficult to reject the null hypothesis.   the probability of making a Type I error in one of the tests increases.   degrees of freedom are lost.   the probability of making a Type III error in one of the tests increases.

Rejecting the null hypothesis when it is true is called a _____ error

Suppose you were selected from a population at random to take a medical test. It is believed that there is a 5% chance that you are ill (i.e. you have the disease), since that is the disease prevalence for asymptomatic people like yourself. Suppose that the test you take has some error rate. If you are ill, it will correctly identify you as positive 90% of the time. If you not ill, it will give a false positive 2% of the time. What is probability that you are ill given a positive test result?

For several years, a political party has had 38% support among the population of potential voters. However, the party has recently changed its branding, and the party leadership wishes to know whether support for the party has changed. A random sample of voters is selected, and each person in the sample is asked whether he or she supports the party. Using the results, a hypothesis test is performed in order to find out whether there is convincing evidence of a change in the level of support for the party. A standardized z statistic is used, and a p-value is calculated. The p value is... (be sure to read the options below carefully...) a) the probability that support for the party has changed. b) the probability of getting the z statistic calculated in the study, given that support for the party has not changed. c) the probability of getting a z statistic at least as far from zero as the one in the study, given that support for the party has not changed. d) the probability that…

When is there a risk of a Type I error? Question 8 options: Whenever H, is rejected Whenever H, is rejected Whenever the decision is "fail to reject H," The risk of a Type I error is independent of the decision from a hypothesis test.