Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 2200 people with 1546 of them having the same common attribute. Compare the results from a hypothesis test of p1=p2 ​(with a 0.05 significance​ level) and a 95​% confidence interval estimate of p1-p2. Test Statistics is -1.49. Identify the critical value(s). (Round to three decimals) Test statistics in/not in the critical region.  So, do we reject/fail to reject? Is there sufficient/not sufficient evidence? Since 0 is not included/included, does it indicate to reject/fail to reject the null hypothesis? The results are the same/not the same since the hypothesis test suggests p1 does equal/does not equal p2. and the confidence intervals suggest that p1 equals/not equal p2?

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 .

Researchers want to test a new hand exercise plan for arthritis patients to see if they have improved flexibility. They recruited 110 patients with arthritis in their hands and randomly assigned them to one of two treatment groups: group i took their regular medicine and did the new hand exercises; and group 2 only took medicine. After one month, 42 of the 55 in group 1 improved in their flexibility, and 37 of the 55 in group 2 improved their flexibility. Based on the 95% confidence interval (-0.076, 0.258), is there convincing evidence of a difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along with taking the medicine versus just taking the medicine? v to believe there va difference in the proportion of patients like these who would show improvement in flexibility if they did the new hand exercises along with taking the medicine versus just taking the medicine. Because v contained in the interval, there…

IS An insurance company collects data on seat-belt use among drivers in a country. Of 1100 drivers 20-29 years old, 24% said that they buckle up, whereas 341 of 1200 drivers 45-64 years old said that they did. Find a 95% confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 20-29 years and 45-64 years. Construct a 95% confidence interval. The 95% confidence interval for p, -p, is from to . SC (Round to three decimal places as needed.)

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis​ test?

A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 3030 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company’s claim. The results of the batting experiment are shown in the following table. Construct a 90%90% confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary.  Hitting Distance (in Feet) New Model Old Model 264264 271271 232232 264264 261261 275275 251251 258258 205205 249249 293293 235235 207207…

A random sample of n1n1  = 235 people who live in a city were selected and 79 identified as a "dog person." A random sample of n2n2  = 93 people who live in a rural area were selected and 67 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < p1−p2<