Needing help with Statistics Homework!!!
Unit 8 - Section 4.4
What is meant by a marginal distribution? What is meant by a conditional distribution? What is meant by a marginal distribution? O A. A marginal distribution is a frequency or relative frequency distribution of either the row or column variable in a contingency table. O B. A marginal distribution is the effect of either row variable or effect of either row variable or the column variable in the contingency table. O C. A marginal distribution is the relative distribution of both row or column variables in the contingency table. O D. A marginal distribution is the relative frequency of each category of one variable, given a specific value of the other variable in a contingency table. What is meant by a conditional distribution? O A. A conditional distribution is the relative association between two categorical variables in the contingency table. O B. A conditional distribution lists the relative frequency of each category of the response variable, given a specific value of the explanatory variable in a anditional distribution is the relative distribution of both row or column variables in the contingency table. O D. A conditional distribution is a frequency or relative frequency distribution of either the row or column variable in a contingency table. Consider the data set given in the accompanying table. Complete parts (a) through (d). (a) Construct a frequency marginal distribution. 15 8 8 distribution (b) Construct a relative frequency marginal distribution marginal distribution marginal distribution (Round to three decimal places as needed. (c) Construct a conditional distribution by x. Total 1 (d) Draw a bar graph of the conditional distribution found in part (c). Let the blue (left) bars represent the condition tribution of y, and let the red (right) bars represent the conditional distribution of y2. Choose the correct graph below. O A. O B OC. 1: Data Table 30 3. In an effort to gauge how the country's population feels about the im think immigration is a good thing or a bad thing for this country today?" The results of the survey, by ethnicity, are given in the acompanying table. Complete parts ( 2 Click the icon to view the data table. (a) How many adult citizens were surveyed? How many Hispanics were surveyed? (b) Construct a relative frequency marginal distribution Ethnicity Relative frequency Opinion Non-Hispanic Blacks marginal Hispanics maribution Good thing 180 154 Bad thing 110 101 147 Good and bad 12 No opinion marginal marginal (Round to three (c) What proportion of adult citizens feel that immigration is a good thing for this country? laces as needed.) (d) Construct a conditional distribution of immigration opinion by ethnicity. Ethnicity Opinion Non-Hispanic Whites Blacks Hispanics Good thing Bad thing Good and bad yo opinion (Round to three decimal places as needed.) (@) Draw a bar graph of the conditional distribution found in part (d). Let the left-most (blue) bars represent "Good thing" opinion, the middle-left (green) bars represent "Bad thing" opinion, the middle-right (red) bars represent the "Good and bad" opinion, and the right-most (gray) bars represent "No opinion". Choose the OA. O B OC LLL (1) Is ethnicity associated with opinion re O A. Yes, ethnicity is associated with opinion e country and much less likely to feelitis a bad thing. likely to feel it is a good thin opinion r O C. No, ethnicity is not associated with opinion regarding immigration. 2: Data Table Blacks Hispanics Good thing Bad thing 154 Good and bad No opinion Is there an association between party affiliation and gender? The accompanying data represent the gender and party affiliation ters based on a Click the icon to view the data table . (a) Construct a frequency marginal distribution. Gender Political Party Male Distribution for Gende Republican Democrat 101 Independent Frequency Marginari Party (b) Construct a relative frequency marginal distribution Gender Political Party Male Relative frequency Republican 120 Democrat 101 independent marginal distribution (Round to three decimal s as needed. (c) What proportion of registered v dependent? (d) Construct a conditional distribution of party affiliation by gender. Political Party Femalender Republican Democrat Total (Round to three decimal places as needed.) and the green bars (right most) represent independent. Choose the correct graph begin OB Q (f) Is gender associated with party affiliation? If so, how? Choose the correct answer below. O A. Yes, gender is associated with party affiliation. Males are more likely to be Independents and less likely to be Republicans. O B. No, gender is not associated with party affiliation. O C. Yes, gender is associated with party affiliation. Males are more likely to be Indepe its and less likely to be Democrats. 3: More Info Republican Independent A survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to * Click the icon to view the data table. Create a conditional distribution for the data Level of Health Level of Happiness Poor Good Excellent Not too happy Pretty happy Very happy (Round to three dec Use the conditiona e if healthier people tend to be happier. Choose the correct answer below. O A. Yes; the percent that are not happy decreases when health increases e percent that are not happy increases when health increases. O C. Yes; the percent that are pretty happy stays constant when health increases. O D. No: the percent that are very happy decreases when health increases. 4: Data table Not too happy Excellent 694 reny happy
