For the following tests of hypothese, assume we calculated the test statistic and found the rejection region. i) Setup the hypotheses; ii) Find the significance level a of the test; i) Graph and calculate/estimate the P-value; iv) State your conclusion for the test. Test statistic z = 2.03; Rejection Region : z>1.28
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- Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.01 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are affected by an interaction between type of car and size of B. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. the car. H₁: Head injury measurements are not affected by an interaction between type of car and size…Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. O C. Ho: Head injury measurements are not affected by type of car. H₁: Head injury measurements are affected by type of car. Find the test statistic. F = (Round to two decimal places as needed.)…Phyllodes tumors of the breast are rare tumors that represent less than one percent of growths in the breast. Some researchers presented characteristics of phyllodes tumors in an article. The following table provides summary statistics for the sizes, in millimeters (mm) of independent samples of benign and malignant phyllodes tumors. Suppose that these tumor sizes are normally distributed. Use the nonpooled t-test to answer the following: At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, malignant phyllodes tumors are larger than benign phyllodes tumors? a. Hypotheses: H0: ___________________ Ha: __________________________ b. Compute the test statistic: c. Determine the p-value. d. Reject null? e. Step 6: Interpret your result in a sentence
- The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:B.) Find the critical? value(s) and identify the rejection? region(s). C.) Find the standardized test statistic. D.) Decide whether to reject or fail to reject the null hypothesis. E.) Interpret the decision in the context of the original claim.Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? A. F = 1.41, p-value = 0.281 B. F = 2.25, p-value = 0.159 C. F = 1.37, p-value = 0.290 D. F = 0.44, p-value = 0.655
- A sociologist believed that the average family size in Saskatchewan was larger than the average family size in British Columbia. Random samples from the two provinces yielded the following results: s? Saskatchewan (Pop 1) British Columbia (Pop 2) 3.45 1.34 60 2.89 1.32 52 Test at a = 0.05 whether there is sufficient evidence to support the claim. As well, calculate the p-value for this test.Using the results obtained for a study on website development below, how would we interpret the results of this hypothesis test? The claim is the percent of customers who abandon a web page due to long load times is different from 34%. The significance level is 0.10. The test statistic is 2.50. Select the correct answer below: Reject H0. There is strong evidence to conclude that the percent of customers who abandon a web page due to long load times is greater than 34%. Reject H0. There is NOT strong evidence to conclude that the percentage of customers who abandon a web page due to long load times is greater than 34%. Fail to reject H0. There is strong evidence to conclude that the percent of customers who abandon a web page due to long load times is greater than 34%. Fail to reject H0. There is NOT strong evidence to conclude that the percentage of customers who abandon a web page due to long load times is greater than 34%.Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 5.98 5.50 20.54 3.03 6.46 Identify the null and alternative hypotheses. Ho: H 14 H₁: μ 14 (Type integers or decimals. Do not round.) Identify the test statistic. = (Round to two decimal places as needed.) 7.45 12.01 20.47 11.48 17.53 D S Vi I. (1,0) More
- K Winning team data were collected for teams in different sports, with the results given in the accompanying table. Use a 0.05 significance level to test the claim that home/visitor wins are independent of the sport. Given that among the four sports included here, baseball is the only sport in which the home team can modify field dimensions to favor its own players, does it appear that baseball teams are effective in using this advantage? Click the icon to view the data table. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: The home/visitor win is independent of the sport. H₁: The home/visitor win is not independent of the sport. OB. Ho: Basketball games are not more likely to win at home than any other sport. H₁: Basketball games are more likely to win at home than any other sport. OC. Ho: The home/visitor win is dependent on the sport. H₁: The home/visitor win is not dependent on the sport. OD. Ho: Basketball games are more likely to win at…A local steel pipe manufacturing company makes pipes . In a quality control assessment , a total of five ( 05) samples are collected with four ( 04 ) observations within each sample . The sample means ( X - bar ) are ; 14.09 , 13.94 , 16.86, 18.77 16.64 respectively . Next , the corresponding ranges are ;9.90,7.73, 7.89,7.56 , and 5.50 respectively . The lower and upper control limits of the R - chart are —————respectively . 1) None is correct 2)10.5,1 . 3) 17.59,0 0,17.32 . 4) 0,16.68II. Identify the rejection region by following the steps in identifying the appropriate rejection region. n= 50, two-tailed test, 5% level of significance