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- A nutritionist wants to investigate whether her new diet will be effective in helping women aged 30-40 to lose weight. She will use a paired sample to determine whether the mean weight of women before going on this diet is greater than the mean weight of women after being on this diet for two months. Determine the null and alternative hypotheses for the proposed hypothesis test. O A. Let μ₁ denote the mean weight of women before going on this diet and let μ₂ denote the mean weight of women who have been on this diet for two months. The null and alternative hypotheses are Ho: H₁ H2 and Ha: H₁ H₂. O D. Let μ₁ denote the mean weight of women before going on this diet and let μ₂ denote the mean weight of women who have been on this diet for two months. The null and alternative hypotheses are Ho: H₁ H2 and Ha: H₁ H₂.The recidivism rate for convicted sex offenders is 16%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 304 convicted sex offenders who were also drug addicts, 55 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: ? v Select an answer (please enter a decimal) H1: ? v Select an answer ♥ (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly higher than 16% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug…65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
- Test the claim about the differences between two population variances a and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o so, a = 0.05 Sample statistics: s, = 705, n, =3, s = 368, n, = 9 Find the null and alternative hypotheses. OA Hoio> Hạ: o so3 OC. Hoi o z0 H,: oApproximately 10%10% of Americans are left-handed (we will treat this as a known population parameter). A study on the relationship between handedness and profession found that in a random sample of 105 lawyers, 16 of them were left-handed.1 Test the hypothesis that the proportion of left-handed lawyers differs from the proportion of left-handed Americans. Clearly state the null and alternative hypotheses.Let pp be the proportion of left-handed lawyers. 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Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kgt. Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 26 43 37 32 38 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 28 ml/kg; H,: µ > 28 ml/kg; right-tailed O Ho: H = 28 ml/kg; H,: u < 28 ml/kg; left-tailed O Họ: H + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H,: µ + 28 ml/kg; two-tailed (b) What sampling distribution will you…Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. 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