18. A study was carried out to investigate whether the type of milk used is the same among young pcople as among older oncs. A sample of 500 pcople were classificd as given below. Skimmed milk Semi-skimmed milk Homogenized milk Total Age < 45 Age > 45 138 83 64 285 64 67 84 215 202 150 148 500 (a) State in words the appropriate null and alternative hypotheses. (b) Is the type of milk used is the same among young people as among older ones? Justify your answer. (c) Examine the residuals and draw appropriate conclusions.
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- Suppose 212 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hunnthacic tact ………. 4A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Day Sun Mon Tues Wed Thurs Fri Sat Frequency 158 202 230 240 179 215 233 Determine the null and alternative hypotheses. Ho- H4: ZEonly 20% of registered voters voted in the last election. will voter participation increase for the upcoming election? of the 341 randomly selected registered voters surveyed, 78 of them will vote in the upcoming election. what can be concluded at the...0.01 level of significance
- According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (Time, May 30, 2011). Suppose this result was true of all college graduates at that time. In a recent sample of 1850 college graduates, 60% said that college education prepared them for a job. Is there significant evidence at a 2% significance level to conclude that the current percentage of all college graduates who will say that college education prepared them for a job is different from 55%? Use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Enter the critical values in increasing order.zobserved =Enter you answer; z_observed p-value =Enter you answer; p-value Critical values: Enter you answer; Critical value 1 and Enter you answer; Critical value…1. Lumber companies dry freshly cut boards in kilns before selling them. As a result of the drying process, a certain percentage of the boards crack. The current drying procedure is known to produce cracks in 16% of the boards. The drying supervisor wants to test a new method to determine if fewer boards will crack. (a) State appropriate hypotheses for a significance test in this setting. To investigate, he selected an SRS of 50 boards, dried them using the new method, and found 5 that cracked (p =5/50 =0.10). To detemine if these data provide convincing evidence that less than 16% of the boards will crack when using the new method, 100 trials of a simulation were conducted. Each dot in the graph below shows the proportion of boards that cracked in a random sample of 50 boards, assuming that each board has a 16% chance of cracking. 0.05 0.15 02 0.25 0.1 Simukated sample proportion of boards that cracked (b) Use the simulation results to estimate the P-value of the test. (c) Interpret…Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.05 significance level to test that claim. ..... Identify the null and alternative hypotheses for this test. Choose the correct answer below. О А. Но: р-0.24 H1:p>0.24 О В. Но: р30.24 H1: p<0.24 О с. Но: р30.24 H1:p#0.24 O D. Ho: p#0.24 H1: p= 0.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% B. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is…
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- Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th: Friday the 13th: 10 14 7 13 What are the hypotheses for this test? Let Hd be the mean of the differences Ho: Hd = 0 H₁: Hd 0 11 14 11 10 4 6 Find the value of the test statistic. t= -2.860 (Round to three decimal places as needed.) 50 13 in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of data. 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.) OA. The critical values are t = t OB. The critical value is t =A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Fri Sat Tues Wed Thurs Sun Mon 212 237 Day 241 173 154 201 224 Frequency Determine the null and alternative hypotheses. Ho Calculate the test statistic, y2 =(Round to three decimal places as needed.) Calculate the P-value P-value (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Hg. There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls. O B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police cals. Oc. Fail to reject Ho. There is…Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? Tues Day Wed Thurs Fri Sun 42 Mon 56 Sat 38 59 Number of Births 59 62 60 Determine the null and alternative hypotheses. Ho H₁ Calculate the test statistic, ² x² = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? OA. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. OC. Fail to reject Ho There is sufficient…