3. Four scenarios of statistical studies are given below. Decide which study uses a population parameter. A) Lakeside Family Dentistry reported that 6 of the 15 patients who came in for a regular cleaning one day had at least one cavity. B) In 2001, 78% of children diagnosed with cancer were in remission after five years, and this number is improving. As part of her senior project, Kaisa asked 84 of her classmates if they voted in the C) last presidential election. 39 said yes. D) 15% of the attendees at a town council meeting in a rural area reported not using the internet on a daily basis.
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- Suppose an instructor wants to know the average height, gender distribution, academic performance (bad, good, very good, excellent), and year of admission of the students of the college of the science of SQU. He divided the students into male and female and took a random sample of 30 male and 30 female students. a) What is the implied population in this study? b) Identify the variables of the study c) Classify the identified variables according to qualitative and quantitative. d) Identify the level of measurement of each identified variable e) Which sampling technique was used to select 60 students?When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers were banned from carrying on board any luggage, including purses, computers, and briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases, will vary if we take many samples from this same population. The sampling distribution of the sample proportion is approximately Normal with mean 0.68 and standard deviation about 0.015. Sketch this Normal curve and use it to answer the following question. Round to nearest tenth percent. What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?
- According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to iThirty-seven percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.37, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals).E(p) = __________σ = _________ b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.01 of the population proportion (to 4 decimals).probability = _________ c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4…A district health officer wishes to determine if the six villages in his district are independent of residents contracting malaria, schistosomiasis, cholera or tuberculosis. Identity an appropriate statistical test and the tail of the test for the problem. Assume all samples used for study come from a normal population.
- Suppose we conducted an experiment to examining differences in watermelon weight (kg) between two types of watermelon plant (hybrid and non-hybrid) exposed to two different sunlight exposure (30%, 50%). Table below shows the recorded data. 30% 50% Hybrid Non-hybrid 1.6, 1.8, 1.5 2.9, 3.1, 2.8 1.4, 1.7, 1.2 2.2, 2.4, 2.2 1. What is the number of replications? 2. What is the experimental unit? 3. What is the response variable?5t. A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 111 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)a) Determine the values of * and **. b) Give the unbiased point estimate for the average monthly earning from Hyundai Vehicles. c) Give the unbiased point estimate for the variance of monthly earning from Hyundai Vehicles.
- 18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?Based on market sales figures, approximately 7.9% of car owners in California own an electric or plug-in hybrid vehicle (EV). A marketing director at a local car dealership would like to know if their sales of EV's is any greater than what the state's sales proportions are. To examine this, they look over the last 500 sales (which they consider to be a representative sample of all car sales) and determine that 10.4% of those were EV sales. Is this statistically significant evidence that the dealership sells a higher proportion of EV's than the overall state's proportion? Which of the following are the correct null and alternative hypotheses for the hypothesis test used to determine significance? Ho:p = 0.079 Haip > 0.079 %3D O Ho:p = 0.079 Hai p > 0.104 O Ho:p 0.079 O Ho:p 0.104A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs shoulde located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 21 have an annual income that is below the poverty line. Part i) The proportion of the 130 people who are living below the poverty line, 21/130, is a: A. parameter. B. statistic. C. variable of interest. Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). 00 95% confidence interval=