Augmented Dickey-Fuller Test data: diff(rgdp.ts) Dickey-Fuller = -3. 9881, Lag order alternative hypothesis: stationary 4, p-value 0. 01441 %3D
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Is rgdp stationary? (Using Dickey-Fuller test) Explain in a very
comprehensive manner
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- A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.Find the T value and P value and decide weather to reject the null hypothesPlease give the first Q1 for this data
- A professor wanted to study whether there was an association between a person's age and their likelihood to use social media. He surveyed members of Gen Z, Millennials, and Gen X. Below you will find the data that was collected: YES, use social media NO, do not use social media H₂: a=0.05 DF=_ Gen Z 78 11 a. Perform a Chi-Square Test for Association to see if there is evidence to show there is an association between age and likelihood to use social media? Ho: Conclusion: b. Fill in the blanks using your table: X²= Circle one: Millennials 124 19 Number of Gen Z that use social media= Total number of Gen Z surveyed = Gen X 79 24 P-value= Fail to Reject H. OR Reject Ho c. Use your survey results from part b to find a one-sample 95% confidence interval. d. According to an October 2022 study, approximately 93% of Generation Z use social media platforms. Does your confidence interval support or refute this claim?Expression levels of GeneA and GeneB were measured in 10 cell lines. The researcher would liketo know if expression levels of GeneA and GeneB are related.a. Use a parametric method to test if GeneA and GeneB are correlated.b. Use a non-parametric method to test if GeneA and GeneB are correlated. Carry out all above tests for α = 0.05.Please solve manually not using software program .A recent study of 100 individuals found the following living arrangements for men and women. Can it be concluded that there is a dependent relationship between gender and living arrangements at the α = 0.025 level of significance. Use the chi-square test of independence.
- Matilda was curious if sample interquartile range (IQR) was an unbiased estima- tor of population IQR. She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well. Note that the IQR of the population is 16. She then took a random sample of 5 balls and calculated the IQR of the sample. She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dotplot below, where each dot represents the sample IQR from a sample of 5 balls. H|| 5 10 15 25 Sample IQR Based on these results, does sample IQR appear to be a biased or unbiased estimator of population IQR? Explain briefly. 20Dioxin Researchers have linked an increase in the inci-dence of breast cancer in Italy to dioxin released by an industrial accident in 1976. The study identified 981women who lived near the site of the accident and were under age 40 at the time. Fifteen of the women had devel-oped breast cancer at an unusually young average age of 45. Medical records showed that they had heightened con-centrations of dioxin in their blood and that each tenfold increase in dioxin level was associated with a doubling ofthe risk of breast cancer. (Science News, Aug. 3, 2002)A researcher is looking at a new marketing campaign for a product. After 200 people watched the marketing campaign about 60 percent liked the product. Prior to the marketing campaign the product was liked by about 50 percent of people. What are the chi-square test degrees of freedom for this research description?
- Identify the estimates and estimators from the model (p1). What is thedifference between estimates and estimators?A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot a then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this 2 study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Female Driver -0.1 0.4 1.1 0.7 1.1 1.2 0.1 0.9 0.5 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the pap are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use males #females Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t= df = P = Male Driver 1.4 1.2 0.9 2.1 0.7 1.3 3 1.3 0.6 2.1A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this 2 study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Female Driver -0.1 0.4 1.1 0.7 1.1 1.2 0.1 0.9 0.5 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use males-females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df = P= Male Driver 1.4 1.2 0.9 2.1 0.7 1.3 3 1.3 0.6 2.1 (b) Do…
