Directions: Formulate the null and alternative hypothesis, identify the level of significance, illustrate if CLT can be used and illustrate the rejection region. A sample poll of 300 voters from Town A showed that 56% were in favor of a given candidate. Test the hypothesis with 99% level of confidence.
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- 1. What hypothesis test is appropriate for the study? 2. What is the value of the df? 3. What is the critical value?A geneticist conducted a hybridization experiment with peas, which resulted in offspring consisting of 410 peas with green pods and 150 peas with yellow pods. According to Mendel’s theory, 1/4 of the offspring peas should have yellow pods. Use a 0.05 significance level to test the claim that the proportion of peas with yellow pods is equal to 0.25.a. H0: ______________b. HA: ______________c. Type of hypothesis test: __________________d. Critical value: ___________e. Test statistic value: ____________f. P-value: ____________g. Decision: _____________________________h. Conclusion: _____________________________________________Find the critical value, the computed t-value, and whether to reject or accept the null hypothesis.
- Studies have shown that omega-3 fatty acids have a wide variety of health benefits. Omega-3 oils can be found in foods such as fish, walnuts, and flaxseed. A company selling milled flaxseed advertises that one tablespoon of the product contains, on average, at least 3800 mg of ALNA, the primary omega-3. a) The company plans to conduct a test to ensure that there is sufficient evidence that its claimiscorrect. Tobesafe,thecompanywantstomakesurethatevidenceshowsthe average is higher than 3800 mg. What are the null and alternative hypotheses? b) Suppose, instead, that a consumer organization plans to conduct a test to see if there is evidence against the claim that the product contains an average of 3800 mg per tablespoon. The consumer organization will only take action if it finds evidence that the claim made by the company is false and that the actual average amount of omega-3 is less than 3800 mg. What are the null and alternative hypotheses?All Fresh Seafood is a wholesale fish company based on the east coast of the U.S. Catalina Offshore Products is a wholesale fish company based on the west coast of the U.S. Table #9.2.5 contains prices from both companies for specific fish types ("Seafood online," 2013) ("Buy sushi grade," 2013). Do the data provide enough evidence to show that a west coast fish wholesaler is more expensive than an east coast wholesaler? Test at the 5% level. (Show work) Table #9.2.5: Wholesale Prices of Fish in Dollars Fish All Fresh Seafood Prices Catalina Offshore Products Prices Cod 19.99 17.99 Tilapi 6.00 13.99 Farmed Salmon 19.99 22.99 Organic Salmon 24.99 24.99 Grouper Fillet 29.99 19.99 Tuna 28.99 31.99 Swordfish 23.99 23.99 Sea Bass 32.99 23.99 Striped Bass 29.99 14.99A study on the effects of color on easing test anxiety compared anxiety test scores of participants who completed a test printed on either soft yellow paper or harsh green paper. The scores for the 10 participants who completed the yellow and the 10 participants who completed it on the green paper are below (Table 5). Using an alpha level of .05, do participants who use the yellow paper report lower test anxiety than those who wrote it on the harsh green paper? -use formulas not excel
- A New York Times article titled For Runners, Soft Ground Can Be Hard on the Body considered two perspectives on whether runners should stick to hard surfaces or soft surfaces following an injury. One position supported running on soft surfaces to relieve joints that were in recovery from injury. The second position supported running on hard surfaces since soft surfaces can be uneven, which may make worse those injuries a soft surface was intended to help. Suppose we are given sufficient funds to run an experiment to study this topic. With no studies to support either position, which of the following hypotheses would be appropriate? 1. The second position makes the more sense, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the first position. 2. Because we would be interested in any difference between running on hard and soft surfaces, we should use a two-sided hypothesis test. 3. Because there is uncertainty, we should postpone…a) If the prevalence rate is 50%, the sensitivity is 85%, and the specificity is 90%, what will the PPV value be? b) What are possible slider values that will produce a PPV value of 1? c) What are possible slider valuse that will produce an NPV value of 1? d) If sensitivity and specificity remain constant while prevalence decreases, what effect does that have on the PPV? e) If prevalence and specificity remain constant while sensitivity increases, what effect does that have on the NPV?In order to determine whether or not a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below. PatientsCured PatientsNot Cured Received medication 80 10 Received sugar pills 20 50 We are interested in determining whether or not the medication was effective in curing the common cold. The hypothesis is to be tested at the 10% level of significance. The critical value from the table equals a. 2.706 b. 3.841 c. 7.81 d. 5.99
- Determine the degrees of freedom, find the critical value, and identify the rejection region.State a research question. Formulate the hypotheses. Determine the critical value(s).A recent clinical trial compares the use of Drug A to the standard treatment of symptomatic genital herpes. The study involves 10, 000 people with genital herpes who are randomly assigned to receive Drug A or standard treatment. Results of the trial show that the duration of symptoms in patients who received Drug A is 4 days versus 4-5 days in patients who received standard symptomatic measures (p<0.5). The manufacturer of Drug A recommends the use of Drug A in the clinical treatment of genital herpes. Based on the study’s results, which of the following is the most appropriate reason to question the manufacturer’s recommendation? a) The investigators used an inappropriate study design b) It is likely that there was a Type I error c) It is likely that there was Type II error d) The observed difference is not clinically significant e) The observed difference is not statistically significant f) There was insufficient power