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- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 113 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.05 level of significance? Because npo (1 - Po) = 25.4 > 10, the sample size is sample is given to be random, satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? less than 5% of the population size, and the the requirements for testing the hypothesis are Ho: P = 0.34 versus H₁: p > 0.34 (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo = (Round to two decimal places as needed.)Find the t values that form the boundaries of the critical region for a two-tailed test with a=.05 for each of the following sample sizes: a. n=6 b. n=12 c. n=24According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.32. Suppose a random sample of 108 traffic fatalities in a certain region results in 45 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.05 level of significance? Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample | the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.)
- Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 57% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 16 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). = 0.57 versus H,: p > 0.57 Họ: P (Type integers or decimals. Do not round.) (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1-po) =D 10, the normal model V be used to approximate the P-value. (Round to one decimal place as needed.)In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: versus H,: (Type integers or decimals. Do not round.)
- Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=100.74, y=103.1, r=0.906, P-value=0.000, and y=12.63+0.9x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 105? Use a significance level of 0.05.A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 57% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 16 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). Because npo (1 - Po) = 3.9 < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a number of trials with V The trials independent and the probability of success is fixed at for each trial. (Type an integer or a decimal. Do not round.)
- An accountant is studying how much American families donate each year to charity. The accountant states the average yearly amount donated to charity by American families is different than 5.5 thousand dollars. If we would like to test the accountant's claim with a hypothesis test using a significance level of α=0.01 , what is the rejection region? Use the graph below to show the rejection region. First, move the blue dot to choose the appropriate test (left-, right, or two- tailed). Then, slide the shaded region(s) to represent the rejection region.Researchers wanted to know if therapy could help smokers quit smoking. Of the 71 smokers they tested, 39 were smoking one year after treatment. Use a 0.05 significance level to test the claim that the majority are smoking one year after treatment. What is/are the critical value(s)? ттT Arial 3 (12pt) v TE -E · -Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55% of the students complete the course with a letter grade of A, B, or c. In the experimental course, of the 19 students enrolled, 13 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.025 level of significance? Complete parts (a) through (g). (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a number of trials with The trials independent and the probability of success is fixed at for each trial. (Type an integer or a decimal. Do not round.)