Relaxing after work. The 2010 General Social Survey asked the question: "After an average work day,...

Relaxing after work. The 2010 General Social Survey asked the question: "After an average work day, about how many hours do you have to relax or pursue activities that you enjoy?" to a random sample of 1130 Americans. A 93% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was [1.16, 1.84].

(a) Interpret this interval in context of the data: "There is a 93% chance that the average number of hours spent by Americans relaxing after an average day of work is between 1.16 hours and 1.84 hours."

(b) Suppose another set of researchers reported a confidence interval with a larger margin of error based on the same sample of 1130 Americans. How does their confidence level compare to the confidence level of the interval stated above? . Higher

(c) Suppose next year a new survey asking the same question is conducted, and this time the sample size is 2600. Assuming that the sampled standard deviation does not change, what will be the new margin of error of the 93% confidence interval constructed based on data from the new survey?

I have correctly answered a and b already. I just need help with C

Expert Solution

orchestra answered 1 year ago

Respondents in the 2017 General Social Survey (GSS) were asked “on an average work day, about...

Respondents in the 2017 General Social Survey (GSS) were asked “on an average work day, about how many hours do you have to relax or pursue the activities that you enjoy?”. 244 males responded to the question and 262 females responded. Men reported an average of 3.28 hours per day (with a standard deviation of 2.12 hours) and women reported an average of 2.99 hours per day (sd=2.05). A. Calculate and interpret the 95% confidence interval for relaxation hours for...

The 2010 General Social Survey asked the question: “For how many days during the past 30...

The 2010 General Social Survey asked the question: “For how many days during the past 30 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 4.24 days in 2010. (a) Interpret this interval in the context of the data. (b) What does “95% confidence” mean? Explain in the context of the application. (c) Suppose the researchers think...

The 2010 General Social Survey asked the question: "For how many days during the past 30...

The 2010 General Social Survey asked the question: "For how many days during the past 30 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 4.24 days in 2010. (a) Interpret this interval in context of the data. 95% of surveys will report a mean number of ''not good'' days in the past 30 is between 3.40...

Satisfied?A poll taken by the General Social Survey in 2010 asked people in the United States...

Satisfied?A poll taken by the General Social Survey in 2010 asked people in the United States whether they were satisfied with their financial situation. A total of 478 out of 2038 people said they were satisfied. The same question was asked in 2014, and 698 out of 2532 people said they were satisfied. a. Construct a 95% confidence interval for the difference between the proportion of adults who said they were satisfied in 2014 and the proportion in 2010. b....

The 2010 General Social Survey asked 1,259 US residents: "Do you think the use of marijuana...

The 2010 General Social Survey asked 1,259 US residents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal. 1. The value 48% is a... A. sample statistic B. population parameter 2. Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal, and interpret it in the context of the data. Round your results to 3 decimal places. (...

In 1983, the General Social Survey asked the question, “Do you think a woman should be...

In 1983, the General Social Survey asked the question, “Do you think a woman should be able to have an abortion for any reason?” Of the 1515 people asked, 539 said yes; the rest said no. In 1999, the General Social Survey asked 877 people the same question, and 361 responded yes; the rest said no. Denote the true proportion of people who felt that women should be able to have an abortion for any reason in 1983 by p1,...

The 2014 General Social Survey asked randomly selected 1475 subjects how many hours per day they...

The 2014 General Social Survey asked randomly selected 1475 subjects how many hours per day they watched TV, on average. We want to test whether there are differences in population means according to the marital status of the subject. The data set TVdata contains three variables (TVhours, status). a) identify the explanatory variable and response variable and explain why

General Social Survey asked participants if they thought it was “OK” for a woman to get...

General Social Survey asked participants if they thought it was “OK” for a woman to get an abortion for any reason and also asked them for their political party affiliation. The table below summarizes the data. Yes, “Ok” No, Opposed Strong Democrat 145 123 Independent 128 282 Strong Republican 46 162 Consider the following two events: A = the event a person is a Strong Republican, B = the event a person is ok to a woman getting an abortion...

In a General Social Survey on women’s role and in response to the question, "It is...

In a General Social Survey on women’s role and in response to the question, "It is much better for everyone involved if the man is the achiever outside the home and the woman takes care of the home and family." Of 411 male respondents, 153 (37.2%) replied yes. Of 472 female respondents, 166 (35.2%) replied yes. (a) Set up notation and specify hypotheses for the hypothesis of no difference between the population proportions of males and of females who would...

2. Identify the level of measurement for the following variables from the 2010 General Social Survey...

2. Identify the level of measurement for the following variables from the 2010 General Social Survey data: a. Sex, b. Race, c. Highest educational degree earned,d. Hours worked per week, and e. Age at first marriage

Question