Are you an optimist? The General Social Survey asked 1373 men and 993 women in the...

Are you an optimist? The General Social Survey asked 1373 men and 993 women in the United States whether they agreed that they were generally optimistic about the future. The results are presented in the flowing table.

	Male	Female
Optimistic	1148	815
Pessimistic	225	178

Compute the value of the chi square statistics.

Can you conclude that the gender and the option on optimism are independent? using the α=0.05 level of significance

Type Artificial hips: Artificial hip joints consist of a ball and socket. As the joint wears, the ball (head) becomes rough. Investigators performed wear tests on metal on metal artificial hip joints. Joints with several different diameters were tested. The following table presents measurements of head roughness (in nanometers).

Diameter	Head Roughness
16	0.83	2.25	0.4	2.78	3.23
28	2.72	2.48	3.8
36	6.49	5.32	4.59

Construct an ANOVA table

Source	Degree of Freedom	Sum of Squares	Mean Squares	F Value	P Value
Treatment
Error
Total

Can you conclude that mean roughness varies with diameter? Use the α=0.01 level of significance?

Expert Solution

orchestra answered 3 years ago

A survey question of men and women workers asked if they expected to receive a raise...

A survey question of men and women workers asked if they expected to receive a raise or promotion during the upcoming year. Two hundred men and 200 women were sampled. Of the men, 110 said yes but only 90 of the women said yes. Develop the hypotheses and test at 95% confidence to see if the percentage of women expecting to receive a raise or promotion is less than that of the men. What is your conclusion?

A survey of 3000 women and 1000 men asked the question, “Given the relative advantages in...

A survey of 3000 women and 1000 men asked the question, “Given the relative advantages in today’s society, is it better to be a man or a woman?” The results are below. Do the results indicate that opinion and gender are related? Remember the applets will only accept one word labels. Opinion Men Women Better to be a Man 501 1470 Better to be a Woman 78 241 No difference 392 1228 Don’t Know 29 61

1. Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to...

1. Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA Today, February 16, 2012). Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women replied yes, are the results statistically significant in that you can conclude a greater proportion of men are expecting to get a raise or a promotion this year? a. State the...

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,...

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...

A survey of 100 men and 100 women revealed that 15 of the men and 36...

A survey of 100 men and 100 women revealed that 15 of the men and 36 of the women were more than 20% overweight. Prepare a contingency table and test the hypothesis that the two gender groups are homogeneous with respect to being overweight. Please assume an α=.05

The General Social Survey asked 1,578 US residents: “Do you think the use of marijuana should...

The General Social Survey asked 1,578 US residents: “Do you think the use of marijuana should be made legal, or not?” 61% of the respondents said it should be made legal. Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal (p), and interpret it in the context of the data.

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 the 2008 General Social Survey, participants were asked: “To what extent do you consider yourself...

In the 2008 General Social Survey, participants were asked: “To what extent do you consider yourself a religious person?” Of 2023 surveyed, 317 responded: “not at all.” (a) Construct a 95% confidence interval for the true proportion of US adults who would respond “not at all” to this question. (b) What is the margin of error for your confidence interval? (c) How large would the sample need to be to obtain a margin of error of ±1%?

1. The General Social Survey (2008) asked a random sample of people whether they agree with...

1. The General Social Survey (2008) asked a random sample of people whether they agree with the following statement: A husband’s job is to earn money; a wife’s job is to take care of the home. Based on this data (displayed below), conduct a chi-square hypothesis test to assess whether there are statistically significant gender differences in feelings about gender roles ( = 0.05). Male Female Total Agree 181 195 376 Neither 142 145 287 Disagree 290 413 703 Total...

Question