In a famous study done in the 1960s two dolphins, Doris and Buzz, were trained to work together to earn fish. Doris was shown a light underwater. If the light was on steadily, her partner Buzz on the other side of the tank needed to press a button on the right for them to earn fish. If the light was blinking, he needed to press a button on the left. At one point in the study, the researcher hung a canvas in the middle of the tank in such a way that Buzz could not see the light. After looking at the light, Doris "swam near the curtain and began to whistle loudly. Shortly after that Buzz whistled back and then pressed the correct button". (Tintle, Rossman and Chance, MAA Prep Workshop) Of course, getting it right once was not enough to convince the scientists that there was really communication going on. It turned out, that in 15 out of 16 trials the dolphin pushed the correct button. Of course, it is possible that this happened just out of random chance - that the second dolphin just happened to hit a lucky streak. We want to try to determine just how unlikely that would be. 6. Using a significance level of 0.05, test the claim that the dolphins were communicating with each other that led them to choose the correct button more than 50% of the time. Use the p-value from the previous question to "reject" or "fail to reject" the null hypothesis and state your conclusion. Help with this question: Explanation of p-vlaue B D and an Example to follow D The P-value is more than 0.05 so we support the claim that the dolphins are communicating. D The P-value is less than 0.05 so we fail to reject the null and accept that the dolphins are communicating. D The P-value is less than 0.05 so we support the claim that the dolphins are communicating. The P-value is less than 0.05 so reject the null and believe the dolphins are communicating. Incorrect Question 8 0 / 2 pts In a famous study done in the 1960s two dolphins, Doris and Buzz, were trained to work together to earn fish. Doris was shown a light underwater. If the light was on steadily, her partner Buzz on the other side of the tank needed to press a button on the right for them to earn fish. If the light was blinking, he needed to press a button on the left. At one point in the study, the researcher hung a canvas in the middle of the tank in such a way that Buzz could not see the light. After looking at the light, Doris "swam near the curtain and began to whistle loudly. Shortly after that Buzz whistled back and then pressed the correct button". (Tintle, Rossman and Chance, MAA Prep Workshop) Of course, getting it right once was not enough to convince the scientists that there was really communication going on. It turned out, that in 15 out of 16 trials the dolphin pushed the correct button. Of course, it is possible that this happened just out of random chance - that the second dolphin just happened to hit a lucky streak. We want to try to determine just how unlikely that would be. 5. Using a significance level of 0.05, test the claim that the dolphins were communicating with each other that led them to choose the correct button more than 50% of the time. Using your calculator, and the test statistic and information you found in the last question, find the p-value. Round your answer to the nearest ten-thousandth. Help with this question: Explanation of p-vlaue > and an Example to follow B 0.00024 Decide if the given claim represents the null or alternative hypothesis. a. A governor claimed that more than 76% of residents welcomed the stat-at-home order. The claim would be the alternative hypothesis. b. Hospitals claimed that they did not have the PPE required to keep their personnel safe. The claim would be the alternative hypothesis. c. A Capitol High School spokesperson said that the SAT standard deviation was 22.5 points. The claim would be the null hypothesis. d. The senator claimed that unemployment in his state was greater than 18%. The claim would be the alternative hypothesis. e. She thought that on average she spent fewer than 12 hours a week on homework. The claim would be the alternative hypothesis. Help with this question Null and Alternative Hypothesis statements B Answer 1: The claim would be the alternative hypothesis. Answer 2: The claim would be the alternative hypothesis. Answer 3: The claim would be the null hypothesis. Answer 4: The claim would be the alternative hypothesis. Answer 5: The claim would be the alternative hypothesis. Question 1 2/3 pts Which of the following statements could be used to develop a null and alternative hypothesis? Help with this question An Introduction to Hypothesis Testing A governor claimed that more than 76% of residents welcomed the stat-at-home order. The protesters claimed that less than half of small businesses had received aid. Hospitals claimed that they did not have the PPE required to keep their personnel safe. Capitol High School said that the SAT standard deviation was 22.5 points. She claimed that the number of Facebook accounts was greater than the number of Twitter accounts. correct Question 3 0/1 pts Find the test statistic for a proportion "p" given the following information. Malloree ordered 15 pair of shoes online during the stay-at-home order, and 2 pairs arrived with mismatched sizes. Looking on line, she found that the retailer claimed that this happened 4% of the time with online orders. Enter your answer rounded to the thousandths place. Help with this question: Find a Test Statistic B 1.824 Make sure you have rounded to the thousandths place. Don't round your work until the very end of the problem. Incorrect Question 4 Choose all of the answers that are true for the Critical Region. Help with this question: Critical Values D The critical region is the area where we would accept the null hypothesis. The critical region is the area where we would reject the null hypothesis. A two-tailed test means we would have 2 areas where we would reject the null. The critical region is the one constant when you are hypothesis testing. 0/2 pts