11. A researcher is comparing the amount of protein consumed by college athletes versus non-athletes, and has a sample of 20 athletes and 30 non-athletes. Which type of t-test is most appropriate? Group of answer choices repeated-measures t-test one-sample t-test independent-samples t-test matched-subjects t-test
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- #23 - An investigator wants to assess the association between caffeine consumption and impaired glucose tolerance , a precursor to diabetes . A study is planned to include seventy participants . Each participant will be surveyed with regard to their daily caffeine consumption . In addition , each participant will submit a blood sample which will be used to measure glucose level . What is the most likely strength of the study described above ?4. A researcher claims that the percentage of infants who receiveimmunizations is less than 80%. She selects a sample of size 750 infantsand 573 have received immunizations. At a 5 % significance level, what conclusion should the researchersmake?c please survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of significance? State the null and alternative hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a…
- 4. A company is interested in evaluating its current inspection procedure for shipments of 50identical items. The procedure is to take a sample of 5 and pass the shipment if no more than 2 arefound to be defective. What proportion of shipments with 20% defectives will be accepted?The drug Lipitor is meant to reduce cholesterol and LDL cholesterol. In clinical trials, 19 out of 863 patients taking 10 mg of Lipitor daily complained of flulike symptoms. Suppose that it is known that 1.9% patients taking competing drugs complain of flulike symptoms. (a) Determine the sample proportion of patients taking 10 mg of Lipitor daily complained of flulike symptoms. (b) Suppose that we want to know whether the evidence suggests more than 1.9% of Lipitor users experience flu-like symptoms as a side effect. Write down the null and alternative hypotheses. (c) Check whether the conditions for hypothesis testing using the P-value approach are met. (d) Determine the P-value for this hypothesis test, and draw a normal curve with area representing the P-value shaded. (e) Interpret the P-value.Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[26.4,25.8,25.8,25.5,26.7,25.7] Liquid:[17.5,16.3,16.7,17.3,17.3,16.8] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 33.883 b) t = 22.982 c) t = 33.383 d) t = 33.883 e) z = 33.383
- A researcher is interested in determining if the proportion of children that collect specific types of toys is equal. To test, he takes a random sample of 500 children and finds that 36% of them collect Legos, 19% of them collect Beenie Babies, 18% of them collect Webkinz, and 27% of them collect Hot Wheels. At the 10% significance level, what conclusion can be reached?4. A pharmaceutical company wants to test whether the incidence of side effects (i.e. adverse events)differs between the treatment and placebo groups at theα= 0.05. Letp1= the proportion of subjects in the treatment groups who experienced at least one adverse event and letp2= the proportion of subjects in the placebo group who experience at least one adverse event. 8 out of 30 people in the treatment group experienced at least one adverse event and 5 out of 30 people in the placebo group experienced at least one adverse event. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value (d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.05 level and state your conclusions in…#2.The Gallup organization periodically polls adults living in the U.S. about the issue ofimmigration. Participants are asked whether they think immigration should increase,decrease, or stay at present levels. When this question was asked in June of 2016, 38%of respondents said they thought immigration should decrease. When it was asked inJune of 2018, 29% of respondents said they thought immigration should decrease.For the purpose of this problem, suppose that the sample size was 200 in both 2016 and2018, and that each represented a simple random sample of adults living in the U.S. atthat time. Is there evidence for a real change in opinion among U.S. adults between2016 and 2018, or do you think the results are just due to chance? Carry out all thesteps for a two-sample z test and state your conclusion. Suppose I had told you in #2 that the same people had been surveyed in 2016 and 2018.What’s the problem with carrying out the two-sample z test in this case?