While testing a hypothesis, we can do either Type I error, or Type II error, but not both of them. Select one: a. True b. False
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- A new memory pill actually does not work at all. However, a researcher gives it to a sample, and by pure chance, he happens to have gotten a sample of people with above average memory. So, he wrongly concludes that it was the pill that was responsible for their good memory, and he concludes that the pill works. What has happened? The researcher has made a type II error Need more information to answer The researcher has made the correct decision The researcher has made a type I errorSuppose a storeowner assumes that all his employees are honest; however, shortages in the cash received have been frequent in the past weeks. There is a possibility that one of the employees take the extra cash. The owner does not know whether to accuse or just let the situation pass since the shortage could be due accidental tendering of incorrect change to customers. a. State the null and alternative hypothesis in words. b. Describe the Type I or II error. c. Which do you think is the most serious error? Explain.Colder? We used the formula °F = 9>5°C + 32 to con-vert Celsius to Fahrenheit in Chapter 5. Let’s put it to use in a random variable setting.a) Suppose your town has a mean January temperature of11°C. What is the mean temperature in °F?b) Fortunately your local weatherman has recently takena statistics course and is keen to show off his newfound knowledge. He reports that January has a standard de-viation of 6°C. What is the standard deviation in °F?
- The probability value (p-value) for a hypothesis test represents a the probability the researcher made an error. b the probability of obtaining the data when HA is true. c the probability that the researcher made a correct decision. d the probability of obtaining the data when H0 is true.Anthony has just received Covid-19 test results from a patient named Melania. The accuracy of the test is as follows: the probability the test will be positive if Melania has Covid-19 is p, and the probability the test will be positive if Melania does not have Covid-19 is q. The proportion of the population that has Covid-19 is 7. The test comes back positive. Anthony has no information about Melania's symptoms. (For reasons he does not understand.) wiet value of ya would result in the simple model of base-rate neglect we learned in class? 67 O 33 25 Problem If p = .95, q = .05, and a = .1, what must be the value of y if Anthony believes that the probability Melania has Covid-19 is .9? 3.214 O 1.05 O 3.57A drug company is currently selling an allergy medication that gives relief to 75% of the people who use it. Now the company's scientists want to see if their new version of the drug works even better. a.)What's their null hypothesis? b.)What's the alternative hypothesis? c.)Check the conditions and assumptions for inference and name the test. 3 e d BIUA ALEX, 12pt $ 4 r f V G % 5 t g b A 6 y h C & 7 O U j * 8 m i k 9 Paragraph alt O 4 1 ) O JO 5 P MDI ctri ? 1 { [ F backspa
- According to a report done last year by the dental industry, 81% of dentists would recommend Starry Whites toothpaste. After some recent negative publicity, the sales team at Starry Whites suspects the proportion of dentists who now recommend the brand is lower. The team chooses 150 dentists at random and asks them whether they'd recommend the brand. Of those, 118 say they'd recommend it. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to conclude that the proportion, p, of all dentists who now recommend this brand is less than 81%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. ( Ho: Aa O 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.Which of the following conclusion would represent a Type II error? Concluding that the average voter turnout at presidential election will change when in fact turnout will not /did not change. Concluding that the average voter turnout at presidential election will not change when in fact turnout will / did change.The mean SAT score in mathematics is 543. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis Ho and the alternative hypothesis H, that they would use. H: 0 H¡: 0 OA researcher is interested in whether people are more or less likely to enjoy popcorn when they are watching TV versus watching a movie. The researcher recruits 12 participants and randomly assigns them to eat popcorn either while watching T or while watching a movie. Then, the researcher measures now much each participant enjoyed the popcorn on a scale from 1 to 10. The researchers' results are shown below: Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the researcher should conclude about the effect of watching television versus watching a movie on people's enjoyment of popcorn. 1. What is the appropriate test to use ? 2. List the test's assumptions You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = .05), determine the…A student majoring in Business who has passed the Business Math course suspects that the average price of dinner at the X restaurant has increased during the pandemic. Before the pandemic, the price for dinner he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps with one tailed hypothesis test & without p value) ! b) Interpret (and explain) the results of point a above!Ciara, an ornithologist (a person who studies or is an expert on birds.), has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350 recent visits. Here are the results: If Ciara performs a goodness-of-fit, can she determine if these results suggest that birds visit one specific feeder is different or the same from the other feeders. Use Rguroo to test at 5% significance level. a) The value of the observed test statistic is . Round to two decimal places. b) The . Round to two decimal places. c) Result: Since we fail to reject the null. (use the operations ">" or "<" or "=").