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PERFORMANCE TASK # 6 Problem Solved! TS Direction: Read and answer the given problem below. noigen nodosist beltool el (80. S) oulav balugm Problem: A car manufacturer claims that less than 10% of their cars have major defective parts. Atell a ge sinebute / skeptical consumer believes the claim is too low and randomly surveys 100 owners of q slab a the manufacturer's cars and finds 16 cars had major defective parts. Would this stop o indicate that the manufacturer's claim was incorrect at a = 5%?WRITTEN WORK # 6 VISV 1. The test statistic value for the population proportion can be solved using the A. Means of proportion dezertlogy C. Variance of proportion gri elsturmoil B. T-test for proportion D. Z-test of proportion 2. What is the formula for z-test for proportion? wafmabule to nothogung off A. z = PP B. 2= 42 H aloan C. z = Ple 10 8088 - D. 2 = theM visv a log orlypa Inabule 3. A certain population has a sample proportion of 85%, population proportion is 81%, and the sample size is 175. How are you going to plot the given in the nottoeformula for the test statistic value of the population proportion? I en ubl S dete A. z = - 0.81-0.85 0.81-0.85 C. z = 0.85-081 D. z = 0.85-0.81 (0.85)(0.15) B. z = (0.81)(0.19) (0.81)(0.19) (0.85)(0.15) Vilamion al 175 rit riair 175 4. The sample proportion is 28%, population proportion is 30%, and the sample size is 81. How are you going to plot the given in the formula for the test statistic value of the population proportion? OIS 0.28-0,30 0.28-0.30 A. z = - 0.30-0.28 B. z = - 0.30-0.28 DasC. z = 0) 0 D. Z= (0.28)(0.72) (0.30)(0.70) (0.30)(0.70) (0.28 )(0.72) 81 81 81 81 5. It is believed that at least 40% of the residents in a certain area is in favor of abolishing the death penalty. Out of the 500 residents surveyed, 210 are in Hod son favor of the issue. What is the value of the test statistic? Round your answer .de al so to the nearest hundredths. smo ae.ma A. 0.90 B. 0.91 arif lo a C. 0.92 barsod D. 0.93 edT ".. 6. The goal of hypothesis testing is to make a judgement about the difference wol between the and a I. hypothesized population parameter " III. sample mean II. population mean IV. sample statistics A. I and II B. II and III C. III and IV D. I and IV 7. When is the null hypothesis rejected? A. If the test-statistic value falls within the rejection region B. If the test-statistic value does not fall within the rejection region C. If the test-statistic falls to the left of the rejection region D. If the test-statistic falls to the right of the rejection region . A cashier in a supermarket claims that at least 60% of the shoppers pay in cash. What is the correct hypothesis test? A. z-test statistic B. two-tailed test C. right-tailed test D. left-tailed test 9. A basketball coach claims that at most 25% of his players are honor students. What is the correct hypothesis test? A. z-test statistic B. two-tailed test C. right-tailed test D. left-tailed test 10. Consider a screening test for prostate cancer that its maker claims will detect the cancer in 80% of the men that actually have the disease. 175 men who have been previously diagnosed with prostate cancer are given the screening test, and 141 of the men are identified as having the disease. Using 0.05 level of significance, what is the appropriate decision rule? A. Do not reject the alternative hypothesis. B. Do not reject the null hypothesis. C. Reject the alternative hypothesis. aizentocurl fune