5) Find a 97% confidence interval for the probability of success p in independent, identically distributed trials, if in a sample of size 200 there were 38% successes.
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- Traffic engineers compared rates of traffic collisions at intersections with raised medians and rates at intersections with two-way left-turn lanes. They found that out of 4,512 collisions at intersections with raised medians, 2,202 were rear-end collisions, and out of 4,277 collisions at two-way left-turn lanes, 1,903 were rear-end collisions.Assuming these to be random samples of collisions from the two types of intersections, construct a 95% confidence interval for the difference between the proportions of collisions that are of the rear-end type at the two types of intersection. Interpret the results. Does the confidence interval contradict the claim that the proportion of rear-end collisions is the same at both types of intersection?In a study designed to assess the side effects of two drugs, 50 animals were given drug A, and 50 animals were given Drug B. Of the 50 receiving Drug A, 11 showed undesirable side effects, while 8 of those receiving Drug B reacted similarly. Find the 98% confidence interval for the true difference in population proportions, pˆ A − pˆ B.Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?
- A retail store is considering adding a new product line to its inventory. The store wants to know whether the new product line will be popular with customers. To determine this, they take a random sample of customers and ask if they would be interested in buying the new product line. Of the 125 people they asked, 70 were interested in this new product line. The manager is interested in creating a 90 % confidence interval regarding the population parameter.In a study of 1228 randomly selected medical malpractice lawsuits it was found that 856 of them were dropped or dismissed. For a 90% confidence interval, what is the margin of error E =?The Martin County Health Department needs to estimate the proportion of all children in the county aged 19-35 months that are completely up to date with all state-recommended immunizations. The Martin County Health Department found that 88% of a random sample of children in the county aged 19-35 months were completely up to date with all state-recommended immunizations. Find three different confidence intervals - one with sample size 228, one with sample size 402, and one with sample size 658. Assume that 88% of the children each sample are completely up to date with all state recommended immunizations. Observe how the sample size affects the margin of error and subsequently the width of each interval. Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. • When n = 228, the margin of error for a 95% confidence interval is given by When n = • When n = When n = 228, a 95% confidence interval is…
- The Salesforce company of a unicorn has various clients associated .The company wants to estimate the proportion of its clients who are associated with more than one company. A random sample of 600 clients is selected without replacement and 125 say that they are associated with more than one company .a. Construct a 99% confidence interval estimate of the population proportion of the clients who have been associated with more than one companyTwo different simple random samples are drawn from two different populations. The first sample consists of 20 people with 10 having a common attribute. The second sample consists of 2200 people with 1597 of them having the same common attribute. Compare the results from a hypothesis test of p1= p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p1− p2.A new rocket launching system is considering short range launches. The existing system is p= 0.78 as the probability of a successful launch. A sample of 45 experimental launches is made with the new system. Construct a 95% confidence interval for p.
- Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 22 having a common attribute. The second sample consists of 1900 people with 1375 of them having the same common attribute.compare results from a hypothesis test of p1-=p2 with a 0.05 significance level and a 95% confidence interval estimate of p1-p2 .Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, -P2. O A. Ho: P1 SP2 H1: P1 #P2 O B. Ho: P1 *P2 H1: P1 = P2 OC. Ho: P1 = P2 H1: P, > P2 O D. Ho: P1 2 P2 H: P1 +P2 O E. Ho: P1 = P2 H:P1 #P2 OF. Ho: P1 =P2 H;: P1The jobless rate for Italy in January 2015 was 13.4%. In a random sample of 50 employable adults in one city, 8 were unemployed. Check with the Assumptions/Conditions apply. The samples are randomly selected. The trials are independent. There are at least 10 chances to success and 10 chances to fail. The sample size represents less that 10% of the population.SEE MORE QUESTIONS
