(20 pts-10 pts each) Voters in a particular city who identify themselves with one or the other of two political parties were randomly selected and asked if they favor a proposal to allow citizens with proper license to carry a concealed handgun in city parks. The results are: Party A 150 Sample size Number in favor Party B 200 140 90 b) Construct the 90% confidence interval for the difference of the two populations propotions.
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- According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Using Rguroo, and the Large Sample Z method, calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived. Round your answers to 4 decimal places.On the basis of a random sample the null hypothesisH0 :µ= µ0is tested against the alternativeH1 :µ > µ0and the null hypothesis is not rejected at the 5% significance level.a. Does this necessarily imply that µ0 is contained in the 95% confidence interval for µ?b. Does this necessarily imply that µ0 is contained in the 90% confidence interval for µ if the observed sample mean is larger than µ0?In an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. In such a test involving two types of microchips, 600 chips manufactured by an existing process were tested, and 125 of them failed. Then 800 chips manufactured by a new process were tested, and 130 of them failed. Find a 90% confidence interval for the difference between the proportions of failures for chips manufactured by the two processes.
- An athlete has just been dealted by both the NBA to play professional basketball and by to play professional baseball, In order to assist him in deciding which offer to pursue, he enlists a statistician to whether or not NBA athletes or MLB athletes are more likely to suffer a concussion. The statistician believes that athletes in both leagues are equally likely to suffer a concussion, but decides to test this belief at the alpha = 0.05 level of significance using a confidence interval. Let PN represent the proportion of NBA players that have suffered from a concussion and represent the proportion of MLB players that have suffered from a concussion. (Round your results to three decimal places) 1.Which would be correct hypotheses for this test? O H 0 :p N =p M ,H 1 ;p N ne p M O H O :p N ne p M H 1 :p N >p M l 0 :p N =p M ,H 1 :p N <p M O H 0 :p N =p N ,H 1 : mathfrak p N >p M O 2. If we are going test this using a confidence interval, which confidence literval should we…Two suppliers manufacture plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1= 12, while another random sample of 16 gears from the second supplier results in x2 = 321 and s1 = 22. Construct a 96% confidence interval and assume that both populations are normally distributed with equal variances. is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Explain your answer?In a study of police gunfire reports during a recent year, it was found that among 540 shots fired by New York City police, 210 hit their targets; among 283 shots fired by Los Angeles police, 77 hit their targets. We want to use a 0.05 significance level to test the claim that New York police have a higher hit rate than the Los Angeles police. Let New York police be represented by p1. Construct a 95% confidence interval and then choose all that apply to this problem. A. Since zero is contained in the confidence interval there appears to be no differnece in the proportions B. New York police have a higer hit proportion than Los Angelos police C. Confidence interval: (-0.0004, 0.1303) D. We fail to reject the null hypothesis E. We should reject the null hypothesis F. Confidence Interval: (0.0396, 0.1729)
- A large private university and a large public university selected random sample of incoming freshman and determined the proportion that were in the top 10% of their graduating class. Let p1 be the proportion of all entering freshmen at the private university who graduated in the top 10% of their high school class and let p2 be the proportion of all entering freshmen at the public university who graduated in the top 10% of their high school class. A 95% confidence interval for p1 - p2 is (0.088, 0.126).(a) What is the point estimate that was used to create the interval? What is the margin of error?b) Interpret the confidence level.The genetics and IVF institute conducted a clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the YSORT method, and 239 of them were boys. Use 0.01 significance level to test the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy. h. Use the sample data to construct a 99% confidence interval estimate of the proportion of boys (P). What does the confidence interval suggest about the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy (P>0.5)?The manager of a local fast-food restaurant is concerned about evil customers who ask for a free cup of water when placing an order, but then fill the cup with a soft drink from the beverage fountain! Themanager selects a random sample of 80 customers who asked for a water cup and found that 23 ofthose customers filled the cup with soda from the beverage fountain. Construct and interpret a 95%confidence interval for the proportion of all customers who, having asked for a cup of water whenplacing an order, will fill the cup with a soft drink from the beverage fountain. Be sure to go through theentire PANIC process.
- Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 15 having a common attribute. The second sample consists of 2100 people with 1512 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.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 examole consists of 1900 people with 1374 of them having the same common attribute. Compare the results from a hypothesis test of p1 =p2 (with a o,01 significance level) and a 99% confidence interval estimate of p1-p2.
