Spam: A researcher reported that 71.8% of all email sent in a recent month was spam. A system manager at a large corporation believes that the percentage at his company may be 70%. He examines a random sample of 500 emails received at an email server, and finds that 374 of the messages are spam. Can you conclude that the percentage of emails that are spam is greater than 70% ? Use both a=0.10 and a=0.01 levels of significance and the P-value method with the TI-84 Plus calculator.

Night Owls proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual 1. Which one of the following statements about the number 40% is correct? A. It is a sample statistic. B. It is a standard error. C. It is a margin of error. D. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. А. Но : р %3D 0.4, Нд : р+0.4 В. Но : р %3D 0.4, На : р 0.4 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 В. 10 C. None of the above D. 20 Е. 77 OF.…

Suppose you are conducting a paired t test to determine whether or not caffeine has an effect on heart rate. You have a sample of 60 participants and they ingest no caffeine each day for a week. At the end of the week, you measure their heart rates and find the mean. Then, the same 60 participants are given 500mg of caffeine every day for a week and again, at the end of the week you measure their heart rates and find the mean. What would the null hypothesis be for this test?

Researchers have been studying the reliability of a new medical test. On their last study, they found that the test accurately identified those with the disease 92% of the time, and it accurately identified those without the disease only 74% of the time. There were 1,000 total people in this study, and 200 of them had the disease. Complete the table below using this information. Then, use your completed table to help you answer the questions. Disease Is Present Healthy (Disease Is Not Present) 184 Positive Test Result 16 Negative Test Result ९ Enter text [more.. 592 a) If an individual does not have the disease, what is the probability that the test suggests that the disease is present? Give your answer as a percent rounded to the nearest hundredth, if necessary. Be sure to include the % when inputting your answer. 0.26 X b) If the test result suggests that the disease is present, what is the probability that the patient does not have the disease? Give your answer as a percent rounded…