In a large clinical trial, 395,780 children were randomly assigned to two groups. The treatment group consisted of 198,184 children given a vaccine for a certain disease, and 37 of those children developed the disease. The other 197,596 children were given a placebo, and 142 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, P1. 9, n2. P2. 92. P, and q.

In a large clinical​ trial, 393,290 children were randomly assigned to two groups. The treatment group consisted of 195,135 children given a vaccine for a certain​ disease, and 30 of those children developed the disease. The other 198,155 children were given a​ placebo, and 109 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values ofn1​,p1​,q1​,n2​,p2​,q2​,p​2 and q.   n1= p1=​(Type an integer or a decimal rounded to eight decimal places as​ needed.) q1=​(Type an integer or a decimal rounded to eight decimal places as​ needed.) n2= p2=​(Type an integer or a decimal rounded to eight decimal places as​ needed.) q2=(Type an integer or a decimal rounded to eight decimal places as​ needed.) p=(Type an integer or a decimal rounded to eight decimal places as​ needed.) q=​(Type an integer or a decimal rounded to eight decimal places as​ needed.)

A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received aspirin treatment and 18 died from heart attack. Let pl denote the population proportion of death from heart attack for those with no treatment and p2 denote the population proportion of death from heart attack for those with aspirin treatment. (c) Which of SEO and SE1 is used for calculating a confidence interval for comparing two population proportions? Which is used for calculating the test statistic in a hypothesis test? (d) Construct the 95% confidence interval for pi – p2. Interpret.

A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance?   What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)