An instructor at a major research university occasionally teaches summer session and notices that there are often students repeating the class. Out of curiosity, she designs a random sample of students enrolled in summer sessions and counts the number repeating a class. She counts 105 students in the sample, of which 19 are repeating a class. She hypothesizes that, in general, more than10% of students repeat a course. The hypotheses to be tested are:   Select one: H0:p=0.1  vs. Ha:p=0.18 H0:p=0.1  vs. Ha:p≠0.1 H0:p=0.1  vs. Ha:p>0.1 H0:p=0.1  vs. Ha:p>0.18

An anger-management courseclaims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let d= (participants after completing the anger-management course) −(participants before completing the anger-management course).  Number of Times Temper Was Lost during a Two-Week Period Before 10 6 5 8 7 7 10 6 3 10 3 8 After 6 7 4 5 4 7 8 6 4 9 3 7   Step 2 of 3 :  Compute the…

A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 75% state they would support starting the school year earlier. The P-value for the test of the hypotheses,  and , is 0.04. What is the correct conclusion given ? Because the P-value is less than , the school board should reject H0. Because the P-value is less than , the school board should fail to reject H0. Because the P-value is greater than , the school board should reject H0. Because the P-value is greater than , the school board should fail to reject H0.

Presidential Poll. A research group suspects that less than 46% of Americans support the Republican presidential candidate. To test this claim, they randomly call Americans until they get 1000 responses. Of the 1000 people who responded, 457 of them say they support the Republican presidential candidate. Test the research group's suspicion at a 5% level of significance.(a) Select the correct null and alternative hypotheses. Ho: p = 0.457Ha: p < 0.457 Ho: p = 0.46Ha: p ≠ 0.46 Ho: p = 0.46Ha: p < 0.46 Ho: p = 0.457Ha: p ≠ 0.457 Ho: p = 0.457Ha: p > 0.457 Ho: p = 0.46Ha: p > 0.46 (b) Find the p-value (round to three significant figures). (c) Write the final conclusion using everyday language. There is sufficient evidence to reject the group's suspicion. There is not sufficient evidence to reject the group's suspicion. There is sufficient evidence to support the group's suspicion. There is not sufficient evidence to support the group's suspicion (d) What are some…