What is the relationship between α and the confidence level of a hypothesis test?
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A: p^ = 0.5390% ci for p is : (0.448,0.612)based on this ci we have to find the given statement is true…
What is the relationship between α and the confidence level of a hypothesis test?
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- According to a poll, 86% of California adults (434 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find a 90% confidence interval for the population proportion. (Round your answers to three decimal places.) X * Enter a number.d) Construct a 90% confidence interval for Hcommunity college - Hno transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college. The confidence interval is the range from to (Round to three decimal places as needed.)Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. We want to construct a 90% confidence interval estimate for the difference between the true proportion of males who say they would return the money to their neighbor and the true proportion of females who say they would return the money to their neighbor. Choose the best option for the result of constructing that interval. O -226 < p1 -p2 < +.003 O-226 < p1 -p2 <.-.048 O -243 < p1 -p2 < -.031
- A survey of 240 teachers found that two-thirds of those surveyed do not live in Sydney. Can you conclude statistically that the population proportion who do not live in Sydney is less than 0.75? Use a 95% confidence interval. What is the confidence interval and is 0.75 within the interval?The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 e. 0.2556Interpret the 95% confidence interval in context in one sentence. Does your confidence interval capture 0? Answer this question and discuss what that means in relation to a two-sided hypothesis test. Specifically, do these results allow us to infer anything about the claim stated in the problem? Are the results practically significant? Should the company that created Medicine A stand behind their claim of being non-drowsy based on these results? Answer this question in one or two sentences.
- What is the effect on the size of the confidence interval if a T score is used instead of a Z score? O It causes the interval to be smaller. O It has no effect on the interval. O It causes the interval to be bigger.A college professor would like to estimate the proportion of students who pull an "all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who pull an all-nighter is 0.48 to 0.62. Which of these statements is a correct interpretation of the confidence level? O Approximately 99% of all students have pulled an all-nighter. O There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62. If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter. C Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.In clinical trials of the allergy medicine Clarinex (5 mg) and a placebo group subjects reported whether they experienced dry mouth as a possible side effect of their respective treatments. The results of a 95% confidence interval for the proportion of Clarinex users who experienced dry mouth minus the proportion of placebo takers who experienced dry mouth are: (-0.0009, 0.0220). If a hypothesis test were performed, what would you expect the results to be and explain your reasoning.
- A market research business is interested in testing the hypothesis that the proportion of students who own a car is smaller for the local university campus than for the local private college. They interviewed 240 students from the university and 250 students from the private college. The number of students who owned a car was 162 at the university and 183 at the private college. Construct a 99% confidence interval for the difference in the true proportions of students who own cars at the two campuses (rounded off to three decimals).A company would like to assess the impact of using a professional trainer to conduct a confidence-building workshop with its salespeople. A sample of 16 workers is obtained. Half (n = 8) attend the workshop and the other half (n= 8) do not attend the workshop. All workers complete an assessment to measure confidence. The data for the confidence assessment for each group are presented below. Does workshop attendance have a significant effect on the confidence levels of the workers? Conduct a hypothesis test using α = .05. Include all steps. Workshop No workshop n = 8 n = 8 M = 22.8 M = 19.2 SS = 124 SS = 100Suppose that your 95% confidence interval for p is (0.68, 0.74). Based on the confidence interval what would your decision be for the hypothesis test H0: p=0.8 versus H1:p≠0.8 at the α=0.05 level?
