1) The 94% confidence interval for the proportion of cars above the speed limit on NJ Turnpike is (0.24, 0.36). a) Find the number of samples based on which the above confidence interval is constructed? b) Can you conclude that the proportion of speeding cars is above 0.22 at 1% significance?
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- What is meant by the sample space of an experiment?2. The Vice-Chancellor of a university is concerned that illicit drug use on campus is higher than the 5% acceptable level. A random sample of 140 students revealed that 5 of them had used illicit drug during the last 12 months. Construct a 90% confidence interval to estimate the true proportion of students who use illicit drug. Should the Vice-Chancellor be concerned?Suppose the police are able to take a SRS of cars and find that 12.3% of the cars in their sample have a safety violation with a margin of error of 2% for a 95% confidence interval. What is the confidence interval?
- 4) The trade magazine QSR routinely checks the drive-through service times of fast-food restaurants. A 90% confidence interval that results from examing 607 customers in Taco Bell's drive-through has a lower bound of 161.6 seconds and an upper bound of 164.7 seconds. What does this mean?The Indian River County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor's degree. A random sample conducted by the Indian River County Economic Development Board found that 28.7% of all county residents held at least a bachelor's degree. Find three different confidence intervals - one with sample size 387, one with sample size 556, and one with sample size 854. Assume that 28.7% of the county residents in each sample have earned at least a bachelor's degree. Notice how the sample size affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. When n=387 the margin of error for a 99% confidence interval is given by =When n=387, a 99% confidence interval is given by = When n=556, the margin of error for a 99% confidence interval is given by =When n=556, a 99% confidence…A large-sample 98% confidence interval for the proportion of hotel reservations that are canceled on the intended arrival day is (0.048, .112). What is the point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed?
- The telephone company has the business objective of wanting to estimate the proportionof households that would purchase an additional telephone line if it were made available ata substantially reduced installation cost. Data are collected from a random sample of 500households. The results indicate that 135 of the households would purchase the additionaltelephone line at a reduced installation cost. Construct a 99% confidence interval estimatefor the population proportion of households that would purchase the additional telephoneline.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 percent is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Suppose we want to calculate a 99% confidence interval for the difference between the proportions of Californians and Oregonians who are sleepdeprived. 1. State the critical value for the interval (3 decimal places): 2. State the difference between the sample proportions, POregon-PCalifornia (3 decimal places): 3. State the standard error of the difference between the proportions (3 decimal places): 4. State the confidence interval being sure to use proper notation (3 decimal places each):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)
- To find the proportion of San Diegans subscribed to Disney+ in 2019, a researcher randomly selected 200 people from San Diego and found that 101 were subscribed. b) Find a 95% confidence interval estimate for the true proportion of San Diegans subscribed to Disney+. Round to four decimal places. c) Interpret the interval found in part b.1) A Gallup poll of 1015 randomly selected adults found that 69% would oppose a law that limited the size of soft drinks and other sugary beverages served in restaurants. Calculate and interpret a 95% confidence interval for the proportion of all adults that would oppose a law limiting the size of soft drinks.What is the smallest sample size needed to guarantee that the results of a study conducted to find the proportion of US toddlers who have a good diet will be accurate within 3% at the 95% confidence level?(a) A previous study found that 21% of US toddlers have a good diet. b) No preliminary estimate is available.