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- I need help solving3. When you performed null hypothesis tests for two samples using a z-test, what can you conclude about the population growth rate of both samples under consideration if you rejected the null hypothesis?Is it possible to have more than one unbiased estimator for an unknown parameter? Or is not possible? How so?
- 2Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians. (a) Develop a point estimate of the proportion of people in the United States who are vegetarians. (b) Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for # as needed.) Ho: Ha: (c) Conduct your hypothesis test using a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H.. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Do not reject Ho. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Reject Ho. We cannot conclude that the…Solve this question please
- A recent article has stated that 22% of those who take a statin for high cholesterol also take fish oil as a supplement. A doctor thought that claim was too low and performed a survey of her patients that are taking a statin for cholesterol. She found from her survey that out of 150 patients, 41 of them also took fish oil. At a = 0. 10, is the doctor's claim correct? Please show all work below, including your null and alternative hypotheses, critical value, test value, and your conclusion.A statistical program is recommended. A highway department is studying the relationship between traffic fow and speed. The foliowing model has been hypothesised: where y- traffic flow in vehicles per hour x- vehicle speed in miles per hour. The following data were collected during rush hour for six highways leading out of the oty. Traffic Flow (v) Vehicle Speed (x) 1,256 35 1.331 40 1.224 30 1,333 45 1,351 50 1.123 25 In working further with this problem, statisticians suggested the use of the folowing eurvinear estimated regression eqation. (a) Develop an estimated regression equaton for the data of the form - , . Round A to the neerest vteger and, to two decimal placen and , to three ocmal pacs) (b) Use a-0.01 to test for a significant relationship State the null and alternatiive hypotheses OHa One or more of the parameters is not equal to tero. H o---0In 2004 it was reported that 31% of all graduating US college students were graduating with STEM degrees (Science Technology Engineering and Math). You want to study if this percentage has increased. To study this you divide the country into 4 major regions, East Coast, Midwest, South, and West Coast and randomly sample 70 students from each region. This means you ultimately randomly sample 280 graduating students and find that 95 of them were graduating with STEM degrees. (a) Carry out at α = .05 a hypothesis test to test the claim that the percentage of US college students that get STEM degrees has increased since 2004. Make sure to check all necessary condi- tions and state your conclusion in the context of this problem. (b) Build a 95% confidence interval to estimate the current percentage of US college students that graduate with a STEM degree. Make sure to check any necessary conditions and interpret your interval in the context of this problem. (c) What type of sampling did you…
- 28)A demographer wants to know what proportion of women in different countries dye their hair. They take a random sample of women from Korea and another random sample of women from China. In Korea, 47% dyed their hair. In China, 56% dyed their hair. (a) What hypotheses would the demographer use to test if women in China are more likely to dye their hair than women in Korea? H0: pChina=pKorea vs. Ha: pChina ≠ pKoreaH0: pChina - pKorea = 0 vs. Ha: pChina - pKorea > 0 H0: μChina-μKorea = 0 vs. Ha: μChina-μKorea ≠ 0H0: pChina-pKorea = 0.09 vs. Ha: pChina-pKorea ≠ 0.09H0: μChina = 0.56 vs. Ha: μKorea = 0.47 (b) Suppose their test yielded a p-value of 0.079. What does this mean in the context of the test? We are 7.9% confident that the results of our test are correct.If the women of two countries have the same rates of coloring their hair, the probability of getting a difference at least this large is 0.079. If we take another sample, the probability of getting the same p̂China and…3. Describe the consequences of estimating an equation by OLS in the presence of anendogenous regressor. How can you overcome these obstacles? Present an alternative estimator and state its properties.