You are a process engineer for a company that manufactures widgets. A particular machine at your company has some downtime during the day on 36.5% of days. You decided to make some changes to how the machine is calibrated in an attempt to reduce downtime. 63 days after your changes were implemented, you find that the machine had some downtime during the day on 31.0% of days. Conduct a hypothesis test to determine if the proportion of days that the machine has downtime has decreased from before, with a= 0.1. * Using this information, what is the p in your analysis? Note: 1- Only round your final answer. Enter your final answer with 2 decimal places.

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.…

According to the Pew Research Center, 14% of adults rate basketball as their favorite sport. Your boss believes the proportion may be lower among adults over age 65, and wants you to collect evidence to see if this is true. You take a survey of adults over age 65, and only 12 out of 120 of them rate basketball as their favorite sport. You would like to set �=0.05. Your boss tells you that your firm will base some expensive decisions on the results of your hypothesis test, so a higher standard of evidence for rejecting the null hypothesis is needed. What should you do? Group of answer choices Keep the significance level the same but collect more data Increase the significance level to 10% Reduce the significance level to 1% Throw out observations that look suspicious thanks

A certain training device measures reaction times of users by illuminating lights, one at a time, and measuring the time it takes the user to press each light to turn it off. The makers of the device are marketing it for high-level training, saying that even among professional athletes, the proportion who can score the top ranking of "light speed" is less than  22% . As a fitness trainer who wants to buy the device to attract more customers, you want to feel comfortable that the claim made by the makers is correct. To test the claim, you decide to perform a hypothesis test. To do so, you rent the device and have a random sample of  130  professional athletes use it;  26  score a ranking of "light speed."   You confirm that it is appropriate to perform a  Z -test. Why is a  Z -test appropriate?     Find  z , the value of the test statistic for your  Z -test. Round your answer to three or more decimal places. =z