determine the values of *, **, ***, **** (iv) conduct a hypothesis test at the 5% significance level to determine whether ø is significant
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- The following table shows the results of a screening test hypothesized to identify persons at risk for a rare blood disease. Compute the False Positive Fraction of the test. No Disease Disease Screen Negative 1351 20 Screen Positive 39 41The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.05. (a) level of significance: .05 | H0: p = 0.77; H1: p < 0.77 (b) The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.)Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.10 significance level to test the claim that there is no difference between the reaction times of the right and left hands. 240- Click the icon to view the reaction time data table. 180- 120+ 100 150 200 Right Hand What are the hypotheses for this test? Let ua be the of the right and left hand reaction times. Ho: Hd H1: Hd What is the test statistic? t= (Round to three decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill the answer box within your choice. (Round to three decimal places as needed.) O A. The critical value is t= B. The critical values are t= ± What is the conclusion? There enough evidence to warrant rejection of…
- The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.35 days. Is this average different for blind dates? A researcher interviewed 70 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over. Their standard devlation was 0.655 days. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv 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 a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 2.35 at a = 0.10, so there is statistically…A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A A two-sample t-test for a difference between means B C D E A chi-square test of independence A linear regression t-test for slope A two-sample z-test for a difference between proportions A matched pairs t-test for a mean difference SMitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…
- A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain? a)A large p-value. b)A small p-value. c)The magnitude of a p-value has no impact on statistical significanceA leading GIS company arranged a special summer training programme for students of a reputed University. The scores obtained by a random sample of 10 students are given below. Use α = 0.10 to determine whether there is a significant improvement in knowledge of the students after attending the training programme.Student Score before training Score after training1 25 322 26 3023 28 324 22 345 20 326 30 287 22 258 20 309 21 2510 24 28Test whether there is a relationship between age and preferred music genre at the level of α = 0.01 significance. Establish relevant hypotheses and interpret the results Age rock pop classic 15-30 50 65 40 30-45 47 35 45 45-60 39 25 54
- In a survey taken in 2020, 20 out of 50 women and 17 out of 45 men said that they felt our country was headed in the wrong direction regarding universal health care. Do these data provide sufficient evidence at the 0.01 level of significance to conclude that the proportions of women and men that feel out country is headed in the wrong direction regarding healthcare are equal? Use the P-Value Method of Testing. In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic 4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject HoBased on information from the Federal Highway Administration web site, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume σ ≈ 500 miles. Suppose that a random sample of 21 vehicles owned by residents of Chicago showed that the average mileage driven last year was 13.2 thousand miles. Would this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem? (a) What is the level of significance? (b) What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic? (c) Find (or estimate) the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? (e) Interpret your conclusion in the context of the application.