In a 2015 Pew Research study on trends in marriage and family, 53% of 1807 randomly...
- In a 2015 Pew Research study on trends in marriage and family, 53% of 1807 randomly selected parents said that they never spank their children. (www.pewsocialtrends.org/2015/12/17/1-the-american-family-today/).a)Define the parameter of interest in the context of the problem (include the symbol used to denote it).
b)What is the statistic in this problem (include the symbol used to denote it)?
c)List and show a check for each of the assumptions necessary to construct a normal-based confidence interval for the parameter of interest by verifying the appropriate conditions. Actually show that you checked these in the context of the problem.
d)Find the margin of error if we want 90% confidence in our estimate of the parameter of interest.
e)Find the 95% confidence interval for the parameter of interest.
f)In the context of the problem, give a conclusion based on the confidence interval you found in part e. Your sentence should start with the words “We are 90% confident that……”
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In a 2015 Pew Research study on trends in marriage and family,
53% of 1807 randomly...
In 2013, the Pew Research Foundation reported that "45% of U.S. adults report that they live...
In 2013, the Pew Research Foundation reported that "45% of U.S. adults report that they live with one or more chronic conditions".^39 However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.2%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live...
Answer all parts of the Question and detailed answer. 1. Pew research, in November 2011, polled a...
Answer all parts of the Question and detailed answer. 1. Pew research, in November 2011, polled a random sample of 799 US teens about internet use. 49% of those teens reported that they had misrepresented their age online to gain access to websites and online services. a) Categorical or Quantitative Variable? b) Is 49% a Sample statistic or Population parameter? c) Should we use a z-distribution or t-distribution? d) Calculate a 90% confidence interval using STAT TESTS #A. e) Interpret...
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marria...
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.6. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence...
please show all work Question 9 (13 points) In a test of weight loss programs, 40...
please show all work
Question 9 (13 points) In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb, with a standard deviation of 4.8 lb. Answer the questions to construct and interpret a 90% confidence interval for the true mean weight loss for all adults who used the Atkins weight loss program. a. (1 pt.) What parameter are you estimating? (p or...
V. (12 points)Alligators and crocodiles can sometimes be confused with each other, but how do their...
V. (12 points)Alligators and crocodiles can sometimes be confused with each other, but how do their egg hatch rates compare? Define p1 as the proportion of alligator eggs that hatch and p2 as the proportion of crocodile eggs that hatch. Researchers observed a randomly chosen alligator's clutch with 45 eggs that had 35 eggs successfully hatch and a random crocodile's clutch with 40 eggs that had 21 eggs successfully hatch. (5 pts) 12. Assume the necessary conditions for inference have...
Question 3 (read the entire question first) The following data are based on a study of the relati...
Question 3 (read the entire question first) The following data are based on a study of the relationship between car accidents and the use of cellular phones. Objective of the study is to show that using a cellular telephone while driving increases the chances of a car accident. Accident No Accident All 453 305 NoPhone 26 427 Phone 23 282 All 49 709 758 g) Let pl denote the probability of having a car accident while using a cellular telephone,...
A climate study compared temperature differences in 1948 vs. 2018. Scientists sampled 197 locations from the...
A climate study compared temperature differences in 1948 vs. 2018. Scientists sampled 197 locations from the National Oceanic and Atmospheric Administration’s (NOAA) historical data, where the data was available for both years of interest. The scientists wanted to know: were there more days with temperatures exceeding 90°F in 2018 or in 1948? For each of the 197 locations, they calculated the difference in number of days exceeding 90°F (number of days in 2018 – number of days in 1948). The...
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. The bootstrap distribution (based on 5,000 samp
1. In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. The bootstrap distribution (based on 5,000 samples) is provided. a). Would it be appropriate to use the normal distribution to construct the confidence interval in this situation? Explain briefly. b). The standard error from the bootstrap distribution is SE = 0.016. Use the normal distribution...
A researcher wanted to study the effect of a newly developed gasoline additive (Additive X) on automobile mileage (mil...
A researcher wanted to study the effect of a newly developed gasoline additive (Additive X) on automobile mileage (miles per gallon, MPG). To gather information, a random sample of cars has been selected. For each car, the MPG was measured both when gasoline with Additive X is used and when gasoline without Additive X is used. The order of the two treatments (with Additive X versus without Additive X) was randomized and care was taken so that there was no...
First, read the article on "The Delphi Method for Graduate Research." ------ Article is posted below...
First, read the article on "The Delphi Method for Graduate Research." ------ Article is posted below Include each of the following in your answer (if applicable – explain in a paragraph) Research problem: what do you want to solve using Delphi? Sample: who will participate and why? (answer in 5 -10 sentences) Round one questionnaire: include 5 hypothetical questions you would like to ask Discuss: what are possible outcomes of the findings from your study? Hint: this is the conclusion....
In 2013, the Pew Research Foundation reported that "45% of U.S. adults report that they live with one or more chronic conditions".^39 However, this value was based on a sample, so it may not be a perfect estimate for the population parameter of interest on its own. The study reported a standard error of about 1.2%, and a normal model may reasonably be used in this setting. Create a 95% confidence interval for the proportion of U.S. adults who live...
please show all work
Question 9 (13 points) In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb, with a standard deviation of 4.8 lb. Answer the questions to construct and interpret a 90% confidence interval for the true mean weight loss for all adults who used the Atkins weight loss program. a. (1 pt.) What parameter are you estimating? (p or...
V. (12 points)Alligators and crocodiles can sometimes be confused with each other, but how do their egg hatch rates compare? Define p1 as the proportion of alligator eggs that hatch and p2 as the proportion of crocodile eggs that hatch. Researchers observed a randomly chosen alligator's clutch with 45 eggs that had 35 eggs successfully hatch and a random crocodile's clutch with 40 eggs that had 21 eggs successfully hatch. (5 pts) 12. Assume the necessary conditions for inference have...
Question 3 (read the entire question first) The following data are based on a study of the relationship between car accidents and the use of cellular phones. Objective of the study is to show that using a cellular telephone while driving increases the chances of a car accident. Accident No Accident All 453 305 NoPhone 26 427 Phone 23 282 All 49 709 758 g) Let pl denote the probability of having a car accident while using a cellular telephone,...
A researcher wanted to study the effect of a newly developed gasoline additive (Additive X) on automobile mileage (miles per gallon, MPG). To gather information, a random sample of cars has been selected. For each car, the MPG was measured both when gasoline with Additive X is used and when gasoline without Additive X is used. The order of the two treatments (with Additive X versus without Additive X) was randomized and care was taken so that there was no...
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