list 3 olve this K A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2740 occupants not wearing seat belts, 38 were killed. Among 7645 occupants wearing seat belts, 12 were killed. Use a 0.05 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? OA M₂: Py #P₂ H₂: Py =P₂ OD. M₂: Py = P₂ H₂: Py P₂ OE H₂ P1 P₂ Hy: Py #P₂ I # + - √i S 1₂ (U) More OC. Mg: Py ZP₂ H₁: Pg FP₂ OF. Hy: Py SP₂ H₁: Pg FP₂ Clear all Final check
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- The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 66 80 50 53 O Ho: Psun PMon PTue #Pwed * PThu * PFri * Psat * # # H₂: All proportions are equal. 48 (a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance. State the null and alternative hypotheses. Ho: : Not all proportions are equal. H₂: Psun * PMon * PTue * Pwed * PThu * PFri * Psat */ OH: Not all proportions are equal. Ha: Psun = PMon=PTue=Pwed=PThu = PFri = Pat = H₂ : Not all proportions are equal. = Ho: Psun PMon=PTue = Pwed=PThu Fri Sat = = 7 55 68 Find the p-value. (Round your answer to four decimal places.) p-value = Find the value of the test statistic. (Round your answer to three decimal places.) X State your conclusion. O Reject…In a random sample of 925 plain M&M's, 19% were blue. Use a 0.01 significance level to test the claim of Mars, Inc. that 24% of its plain M&M candies are blue. a. Define the parameter A. p = The proportion of all M&M's that are blue B. mu = The proportion of all M&M's that are blue C. mu = The mean number of all M&M's that are blue D. p = The proportion of all M&M's that are not blue b. State the null and alternative hypotheses A. Upper H 0 : p greater than 0.24 Upper H 1 : p equals 0.24 B. Upper H 0 : p equals 0.19 Upper H 1 : p not equals 0.19 C. Upper H 0 : p equals 0.24 Upper H 1 : p not equals 0.24 D. Upper H 0 : mu not equals 0.24 Upper H 1 : mu equals 0.24 c. Calculate the test statistic. Which of these options is closest to the test statistic? A. negative 4.00 B. negative 3.65 C.…Listed below are the lead concentrations (in ug/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 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg /g. 2.96 6.45 5.99 5.51 20.53 7.45 11.97 20.46 11.52 17.54 D Identify the null and alternative hypotheses. Ho: H1: (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. V the null hypothesis. There sufficient evidence at the 0.01 significance level to V the claim that the mean lead concentration for all Ayurveda medicines…
- K In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ P2 Z= OB. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -0 (Round to two decimal places as needed.) Identify the P-value. OE Ho: P1 H₁: P₁ The P-value is hypothesis. There P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? P₂ P₂ OC. Ho: P₁ SP2 H₁: P₁ P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level of a = 0.05, so Because…In a random sample of males, it was found that 22 write with their left hands and 218 do not. In a random sample of females, it was found that 64 write with their left hands and 445 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V the significance level of a = 0.01, so the null hypothesis. There evidence to support the claim that the rate of left-handedness among males is less than that among females. The P-value is b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P1 - P2)In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 150 males who recently completed high school, 72% were enrolled in college. At a = 0.05, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 P2 OF. Ho: P1 = P2 O D. Ho: P1 > P2 Ha: P1 SP2 Ha: P1 O B. z 1.96 O D.answer the followingConsider testing the hypotheses Ho: p 0.4 versus Hai p> 0.4. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. p= 0.42 p=0.38 p= 0.51 p= 0.46 DListed 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) More103A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample of 11 ER cases at each location was selected, and the waiting time was measured. Excel.) Complete parts (a) through (d) to determine if there is statistical evidence of a difference in the mean waiting times betweeen the four locations. a. State the two hypotheses. Choose the correct answer below. O B. Ho: H1 = H2 = ••• = H4 H;: 41 H2# • • • # µ4 O A. Ho: H1 =H2 = ••• = H4 H;: Not all H are equal (where j= 1,2,.4) OC. Họ: H1 = H2 = • •• = H1 H;: 41 # H2# • •• #H11 D. Ho: H1 = H2= • •• - H11 H;: Not all H; are equal (where j= 1,2,.,11) b. At the 0.05 level of significance, state the test statistic. (Round to two decimal places to the right of the decimal point as needed.) O A. FSTAT = 0.005 , from the first row of the ANOVA table O B. FSTAT = 4.91 , from the first row of the ANOVA table O C. FSTAT = 2.05 , from the first row of the ANOVA table O D. FSTAT =…Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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