In a large clinical​ trial, 394,003 children were randomly assigned to two groups. The treatment group consisted of 198,861 children given a vaccine for a certain​ disease, and 26 of those children developed the disease. The other 195,142 children were given a​ placebo, and 79 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1​, p1​, q1​, n2​, p2​, q2​, p​, and q.

High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant?    What is the value of the combined proportion (c)?  Round to four decimal places

In a large clinical​ trial, 394,108 children were randomly assigned to two groups. The treatment group consisted of 198,537 children given a vaccine for a certain​ disease, and 30 of those children developed the disease. The other 195,571 children were given a​ placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below.

In a large clinical​ trial, 401,049 children were randomly assigned to two groups. The treatment group consisted of 200,607 children given a vaccine for a certain​ disease, and 33 of those children developed the disease. The other 200,442 children were given a​ placebo, and 121 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of: n1​, p1​, q1​, n2​, p2​, q2​, p​, and q.

In a large clinical​ trial, 401,476children were randomly assigned to two groups. The treatment group consisted of 202,144 children given a vaccine for a certain​ disease, and 29 of those children developed the disease. The other 199,332 children were given a​ placebo, and 113 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1​, p1​, q1​, n2​, p2​, q2​, p​, and q.   n^1=

High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant?    Using proportion values rounded to four decimal places, what is the z- test statistic? Round your answer to two decimal places.

An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Managed by Adams Branch Managed by McDale Branch Managed by Vasquez 7.8 8.8 6.5 6.6 10.3 8.7 10.1 11.7 10.1 10.6 9.4 11.4 9.1     10.2     Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different…

High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant?    State the Null and Alternative Hypotheses. Make sure to define your parameters.

In a large clinical​ trial, 401,321 children were randomly assigned to two groups. The treatment group consisted of 201,186 children given a vaccine for a certain​ disease, and 30 of those children developed the disease. The other 200,135 children were given a​ placebo, and 100 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1​, p1​, q1​, n2​, p2​, q2​, p​, and q. = Round each to 8 decimals