In a large clinical trial, 392,266 children were randomly assigned to two groups. The treatment group consisted of 195,900 children given a vaccine for a certain disease, and 31 of those children developed the disease. The other 196,366 children were given a placebo, and 114 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, 91, nɔ, p2, , p, and g.

A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time       (in seconds) Required to Accelerate from 0 to 60 mph Compact                9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size                6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury                   5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)

The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place.  Time Number of Accidents Time Number of Accidents 8 up to 9 a.m. 10 1 up to 2 p.m. 11 9 up to 10 a.m. 9 2 up to 3 p.m. 12 10 up to 11 a.m. 12 3 up to 4 p.m. 7 11 up to 12 p.m. 6 4 up to 5 p.m. 11      Click here for the Excel Data File Using the goodness-of-fit test and the 0.10 level of significance, determine whether the accidents are evenly distributed throughout the day. H0: The accidents are evenly distributed throughout the day.H1: The accidents are not evenly distributed throughout the day. a. State the decision rule, using the 0.10 significance level. (Round your answer to 3 decimal places.)     b. Compute the value of chi-square. (Round your answer to 3 decimal places.)     c. What is your decision regarding H0?

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 400 students taken from this year's student body showed the following number of students in each classification. Freshmen 113 Sophomores 98 Juniors 115 Seniors 74 ​ We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals Select one: a. .54. b. .65. c. 2.063. d. 2.664.

This year’s water pollution readings at State Park Beach seem to be lower than last year. A sample of 30 readings was randomly selected from this year’s daily readings:   3.6    3.9    3.3    3.4    3.8    3.7    3.5    3.6    3.7    3.6    3.6    3.7    3.9    3.8    3.7    4.0    3.7    3.5    3.8    3.6 3.5    3.6    3.5    3.7    3.6    3.9    3.9    3.7    3.6    3.5 Researchers want to know if this is sufficient evidence to conclude that the mean of this year’s pollution readings is significantly lower than last year’s mean of 3.8. If the p-value is less than 0.0001, what is your decision (let α = 0.05) ?     Retain Ho     Reject Ho

2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…