If an original claim for some aspect of a population is µ = 5.00, the test statistic is t = +1.80, and the critical values are CV = –1.69, +1.69, would you reject or fail to reject the null hypothesis?
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If an original claim for some aspect of a population is µ = 5.00, the test statistic is t = +1.80, and the critical values are CV = –1.69, +1.69, would you reject or fail to reject the null hypothesis?
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- Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 118 people and find that 98 of them match the condition you are testing.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.8H0:p=0.8Ha:p>0.8Ha:p>0.8Calculate the test statistic, rounded to 3 decimal placesSuppose the present success rate in the treatment of a particular psychiatric disorder for the relevant population is known to be .73 (73%). A research group hopes to demonstrate that the success rate of a new treatment will be better than this standard. Use the letter p to represent the success rate of the new treatment. Write null and alternative hypotheses for p. Ho: p|? v H2: p? v aIn their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. Which of the following is the correct hypotheses? a Ho: μ- 10 Ha: μ > 10 Ho: u > 10 Ha: u = 10 Ho: U = 10 Ha: u < 10 O d Ho: p = 10 Ha: u+ 10
- Perform the following hypothesis test: HO: µ = 10 H1: µ 10 The sample mean is 9.55, population standard deviation of 1.5 and a sample size of 51. Use a 5% significance level. What is the value of the test statistic? (Give your answer rounded to 2 decimals) (Be careful to make sure your + or - sign is correct)State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
- Big fish: A sample of 250 flounder of a certain species have sample mean weight 50.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is less than 49 grams. State the appropriate null and alternate hypotheses.According to a report on consumer fraud and identity theft, 21% of all complaints for a year were for identity theft. In that year, Ohio had 273 complaints of identity theft out of 1405 consumer complaints. Does this data provide enough evidence to show that Ohio had a lower proportion of identity theft than 21%? Test at the 1% level. State the hypotheses. Ho: P = v or .21 Ha: pA test of the null hypothesis Ho: p = .25 gives a test statistic z = 1.6. What is the p-value if the alternative is Ha: p > .25? What is the p-value if the alternative is Ha: p < .25? What is the p-value if the alternative is Ha: p .25?A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 OThe null hypothesis when testing for a single population can take many forms depending on the parameter being studied. If the parameter of interest is the population mean, which statement best represents the original claim that the parameter equals a given value, k?The dataset below that contains information on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions as well as cars with other transmissions. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average citymileage? 1. Set up the null and alternative hypotheses.2. Compute the test statistic.3. State the p-value for the test. State the decision and conclusion of the test in context. Feel free to use excel, Rstudio, or any other methods to answer the Question! Thanks Auto Manual 77 22 126 30 52 28 62 26 62 29 106 20 27 27 28 22 24 26 26 26 30 26 21 23 21 28 23 29 25 25 20 25 20 22 18 17 17 27 14 25 15 19 18 27 17 30 14 23 18 24 17 23 14 22 15 23 18 24 17 27 14 23 19 22 17 25 17 19 14 26 16 21 16 23 14 18 17 18 17 18 14 18 16 19 16 19 14 21 18 18…SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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