9. Below is partial output showing results of the relationship between personal income and different types of occupations. ANOVA Personal income (past year) Sum of Squares df Mean Square F Between Groups 1388.491 173.56 Within Groups * 3184 Total 51731.075 3192 a) Fill in the blanks (*) on the ANOVA table above with the appropriate numbers b) If you were conducting a hypothesis test, what is your decision regarding the null hypothesis, at alpha level of 0.01? c) On what do you base your decision/conclusion?
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- A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the ? = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers? Workers New A B Units of work (replicates) 10 12 9 10 10 11 9 12 10 9 11 13 10 12 9 (a) Find the test statistic. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer bounds exactly.) _____< p < ____(b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence of a difference in units of work between the workers. Reject the null hypothesis, there is significant evidence of a difference in units of…A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the ? = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers? Workers New A B Units of work (replicates) 9 12 10 9 10 11 11 10 10 9 12 13 11 10 11 (a) Find the test statistic. (Give your answer correct to two decimal places.)A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the ? = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers? Workers New A B Units of work (replicates) 9 12 10 9 10 11 11 10 10 9 12 13 11 10 11 (a) Find the test statistic. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer bounds exactly.) This has two bounds: ____________< p < _____________
- A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the ? = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers? Workers New A B Units of work (replicates) 8 12 13 8 11 9 10 10 13 8 10 11 11 12 10 (a) Find the test statistic. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer bounds exactly.) ________< p < ________ (Has two values)A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the ? = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers? Workers New A B Units of work (replicates) 11 11 11 11 13 12 10 12 12 10 10 11 11 13 11 (a) Find the test statistic. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer bounds exactly.) < p < (b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence of a difference in units of work between the workers.Reject the null hypothesis, there is significant evidence of a difference in units of work…At the campus-wide meeting, the president of a community college claims that more than 51% of all community college students are female. In a random sample of 128 community college students, 74 were female. Test the president's claim at the 0.01 level of significance. Show STEP 1, STEP 2 and STEP 3&4 Step 5: There ____ sufficient evidence to conclude that________________.
- The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 713 employed persons and 613 unemployed persons are independently and randomly selected and that 338 of the employed persons and 244 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.…When conducting an ANOVA on sbp and genhelth, the p-value is 0.008. Therefore we conclude Group of answer choices reject the null hypothesis at 1% level, mean sbp different for at least one category of genhelth reject the null hypothesis at 5% level, mean sbp different for all categories of genhelth reject the null hypothesis at 1% level, mean sbp different for all categories of genhelth no evidence to reject the null hypothesis of equal meansn a recent court case it was found that during a period of 11 years888people were selected for grand jury duty and39%of them were from the same ethnicity. Among the people eligible for grand jury duty,80.4%were of this ethnicity. Use a0.01significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
- A computer company wants to determine if there is a difference in the proportion of defective computer chips in a day’s production from two different production plants, A and B. A quality control specialist takes a random sample of 100 chips from the first hour of production from plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 100 chips from the last hour of production from plant B and determines that there are 10 defective chips. Assuming conditions for inference are met, what is the 90% confidence interval for the true difference in proportions of defective chips from a day’s production between the two plants? Find the z-table here. (0.12 minus 0.10) plus-or-minus 1.96 StartRoot StartFraction 0.12 (1 minus 0.12) Over 100 EndFraction + StartFraction 0.10 (1 minus 0.10) Over 100 EndFraction EndRoot (0.12 minus 0.10) plus-or-minus 1.65 StartRoot StartFraction 0.12 (1 minus 0.12) Over 100 EndFraction + StartFraction 0.10 (1 minus…In a poll conducted by The New York Times and CBS News, 44% of Americans approve of the job that the Supreme Court is doing (The New York Times, June 8, 2012). Assume that this percentage was true for the population of Americans at the time of this poll was conducted. A recent poll of 1265 Americans showed that 38% of them approve of the job that the Supreme Court is doing. At a 2% significance level, can you conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is different from 44%?Round your answers to two decimal places.zobserved =zcritical left =zcritical right =We (reject, fail to reject) the null hypothesis. We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is Choose your answer; We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is (not different from, different…A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2913 occupants not wearing seat belts, 38 were killed. Among 7846 occupants wearing seat belts, 13 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic: Identify the P Value: What is the conclusion based on the hypothesis test? The P-value is (less than, greater than) the significance level of a=0.05, so (reject, fail to reject) the null hypothesis. There (is, is not) sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. b. Test the claim by constructing an…