Question 3 A researcher wanted to know the percentage of judges who are in favor of the death penalty. He took a random sample of 15 judges and asked them whether or not they favor the death penalty. The responses of these judges are given below. a. What is the point estimate of the population proportion? b. Make a 95% confidence interval for the percentage of all judges who are in favor of the death penalty.

A question in a poll taken in 2007 asked, "Do you think the penalties for underage drinking should be made more strict, less strict, or remain the same?" The sample proportion that responded "more strict" was 0.61 (61%). This result will be used to estimate the proportion of all adults in the United States who think that penalties for underage drinking should be more strict. The sample consisted of n = 500 randomly selected adults in the United States Calculate a 95% confidence interval that estimates the population proportion who think that penalties for underage drinking should be more strict. (Round your answers to three decimal places.)

Mental health. The General Social Survey asked the question: “For how many days during the past30 days was your mental health, which includes stress, depression, and problems with emotions, not good?”Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24days in 2010.(a) Interpret this interval in context of the data.(b) What does “95% confident” mean? Explain in the context of the application.(c) Suppose the researchers think a 99% confidence level would be more appropriate for this interval. Willthis new interval be smaller or wider than the 95% confidence interval?(d) If a new survey were to be done with 500 Americans, do you think the standard error of the estimatebe larger, smaller, or about the same.

A boxplot of some data is as follows. 20 40 60 50 100 120 Using this boxplot, answer the following questions. What is the lower quartile? What is the upper quartile? Choose... Choose... Is the boxplot left-skew, symmetric or right-skew? Choose...

Question 3. Suppose that the insurance companies did do a survey. They randomly surveyed 400 drivers and found that 320 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up. (a) Construct a 75% confidence interval for the population proportion who claim they always buckle up and write the interpretation (Sketch the graph). (b) Which distribution you used for this problem? Explain your choice.

According to recent data by the American Marketing​ Association, 76.5​%of people in the​ 18-24 age group used social media in 2017. You want to find out what the social media proportion is among your classmates who are all between 18 and 24 years old. Suppose you obtain a random sample of 229 students and find that 202 students in this sample are active social media users. Complete parts a through c below.   a. Construct a 99​% confidence interval to estimate the actual proportion of social media users. A 99​% confidence interval to estimate the actual proportion has a lower limit of------ and an upper limit of------- ​(Round to three decimal places as​ needed.) b. What is the margin of error for this​ sample? c. Is there evidence that this proportion matches that of the overall population based on the​ sample?

A college president says, “99% of the alumni support my firing of Coach Boggs.” You contact an SRS of 200 of the college’s 15,000 living alumni and find that 66 of them support firing the coach.   What population does the inference concern here? Explain clearly what the population proportion p is in this setting. What is the numerical value of the sample proportion ˆp ?

“Children whose parents smoke in their presence are more likely to develop asthma than children whose parents do not smoke in their presence.” How many tails should be used when looking up the t test statistic for this study?   Question 6 options:   one tail   two tails   Either one tail or two tails - it doesn't matter   there is not enough information to tell.

A real estate agent wishes to determine whether tax assessors and real estate appraisers agree on the values of homes. A random sample of the two groups appraised 10 homes. Is there a significant difference in the values of the homes for each group? Assume the data are from normally distributed populations. Real Estate Appraisers Tax Assessors: X1 = $83,256;  s1 = $3256; n1 = 10 X2 = $88,354;  s2 = $2341; n2 = 10

You are a researcher studying the antler size of male Alaskan Moose in a certain Alaska location.  You gather a random sample of 18 male moose and record the width (in feet) of the antlers. The data is displayed in the table below.  Estimate the mean antler width of all Alaskan male moose in this area.  Use a 90% confidence level.   3.6 5.6 3.4 3.4 4 5.2 4.6 4.3 4.6 4.6 2.2 6.4 3.6 3.1 5.4 4.4 3.3 4.3       a)  Find the confidence interval:   < μμ <   b) What is the margin of error of your interval?  c) Interpret your 90% confidence interval in context.