You decide to take two baseball players' percentages of strikes to see if there is a difference. Gavin threw 1623 pitches and 836 were called strikes, while Grayson threw 1493 pitches and made 725 strikes. a. Assuming all conditions were met, construct and interpret a 95% confidence interval to determine their difference in proportions of strikes thrown. b. Based only on your results from part a, what can you conclude about a significance test with the following null and alternative hypotheses: H,: P1 = P2 Ha: P1 > P2
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- What would be the actual significance level (alpha) if 4 (four) group means were tested usingindependent pairwise t‐tests, each with a 95% confidence level?The St. Lucie 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 St. Lucie County Economic Development Board found that 20.8% of all county residents held at least a bachelor's degree.Find three different confidence intervals - one with sample size 487, one with sample size 777, and one with sample size 938. Assume that 20.8% 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=487n=487, the margin of error for a 95% confidence interval is given by .When n=487n=487, a 95% confidence interval is given by . When n=777n=777, the margin of error for a 95% confidence interval is given by .When n=777n=777, a 95%…Suppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…
- A researcher surveys 50 individuals in Smithville and 40 in Amherst, finding that 30% of smithville residents moved last year, while only 22% of Amherst residents did. Is there enough evidence to conclude that mobility rates in the two communities differ? Use a two-tailored alternative, and a=0.10. Again, find the p-value and a 90% confidence interval for the difference in proportionsThe Okeechobee 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 Okeechobee County Economic Development Board found that 10.5% of all county residents held at least a bachelor's degree.Find three different confidence intervals - one with sample size 180, one with sample size 451, and one with sample size 621. Assume that 10.5% 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=180n=180, the margin of error for a 95% confidence interval is given by .When n=180n=180, a 95% confidence interval is given by . When n=451n=451, the margin of error for a 95% confidence interval is given by .When n=451n=451, a…The St. Lucie 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 St. Lucie County Economic Development Board found that 19.3% of all county residents held at least a bachelor's degree.Find three different confidence intervals - one with sample size 254, one with sample size 478, and one with sample size 668. Assume that 19.3% 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=254, the margin of error for a 97% confidence interval is given by .When n=254, a 97% confidence interval is given by . When n=478, the margin of error for a 97% confidence interval is given by .When n=478, a 97% confidence interval…
- In a study of academic procrastination, the authors of a paper reported that for a sample of 431 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.54 hours and the standard deviation of study times was 3.90 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university. (a) Construct a 95% confidence interval to estimate ?, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.)( , )(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam. n = 431 x = 43.88 s = 21.66 Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior…The St. Lucie 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 St. Lucie County Health Department found that 67% 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 239, one with sample size 596, and one with sample size 937. Assume that 67% of the children each sample are completely up to date with all state recommended immunizations. 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=239n=239, the margin of error for a 97% confidence interval is given b When n=239n=239, a 97% confidence interval is given by When n=596n=596,…The St. Lucie 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 St. Lucie County Health Department found that 67% 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 239, one with sample size 596, and one with sample size 937. Assume that 67% of the children each sample are completely up to date with all state recommended immunizations. 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=596n=596, a 97% confidence interval is given by= When n=937n=937, the margin of error for a 97% confidence interval is given by= When n=937n=937,…