Imagine you are doing a Related-Samples t-test, and you are on Step One of the hypothesis test.  If you are doing the test with α = .05, and two tails, how would the H0 (null hypothesis) look?

The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion p of people who find relief from depression is at least 65%. A random sample of 170 patients who use this new drug is selected, and 100 of them find relief from depression. Based on these data, can we reject the manufacturer's claim at the 0.1 level of significance? State the null hypothesis H0 and the alternative hypothesis H1 Find the z test value Find the p-value Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is at least  65%? Yes or No?

Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test.  The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4.  If you are doing the test with α = .01, and two tails, what would he correct t-critical be?

A textbook publisher claims that 84% of college students enrolled in a course that uses their textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 177 students in classes that use a textbook from the textbook publisher and finds the 153 of those students ultimately pass the class. Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Ho: pvv .84 Ha: .84 (So we will be performing a right-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed ♥▼ with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(zv %3D P(p'v2v p-value = Step 4: Make a Conclusion About the null hypothesis. = a, we do not reject the null Since the p-value = hypothesis. O We cannot…

Suppose we want to test the null hypothesis H0 : p1 − p2 = 0.2 against the alternative hypothesis Ha : p1 − p2 < 0.2 at the 5% level of significance. Suppose also that x1 = 80,  n1 = 100, x2 = 40, n2 = 80.  What is the observed test statistic for this   test?

(1) Create your own example of a Related/Paired Samples t-Test. You don't have to solve this example, but I want you to demonstrate that you understand the methodology (the way a study is designed) of the Paired-Samples t-Test.  Include the following:  IV:  DV:  Null Hypothesis:  Alternative Hypothesis:

In a one-tail hypothesis test where you rejected Ho only in the upper tail, what is the value is Zstat =+2.00?

Does training in stress reduction make a difference for student success?  15 students received training (M1= 88, SS1= 400) and 15 students did not (M2= 82, SS2= 440). Test using α = .05   Which is the null hypothesis, H0?

Historically, 72% of students who take the PREPWell SAT preparation course improve their scores (where "improvement" denotes a score increase of at least 10 points). A new version of the PREPWell course is tested on a random sample of students, and 75% of them improve their scores. The PREPWell company is conducting a hypothesis test to determine whether the new version of the course actually gives better results. The hypotheses are H0: p = 0.72              Ha: p > 0.72 where p = the proportion of all students taking the new version of the PREPWell course that will improve their SAT scores For each description below, choose from the drop-down list to indicate which decision (A, B, or C) corresponds to it. (Each decision choice can be used once, more than once, or not at all.)  Possible decisions:            A.  Reject the null hypothesis               B.  Do not reject the null hypothesis               C. Accept the null hypotheses Even though the proportion of students with…

You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.22. You use a significance level of α=0.005α=0.005.      H0:p=0.22H0:p=0.22      H1:p<0.22H1:p<0.22You obtain a sample of size n=430n=430 in which there are 77 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. The sample data support the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient sample…