Question

Test - Summer 2019 - Question 1 e) and marital status (divorced Consider the following frequency tables for siblings (0, 1.2.3.4.5.6 or m married or single) for a sample of 2714 individuale siblings Freq. marital Freq. awN divorced married single 591 1,769 354 346 223 333 6 or more Total 2,714 Total 2,714 a) Construct the relative frequency and cumulative relative frequency distribution for siblings page 10 of E ECO2207 September 20, 2019 b) Assuming siblings is independent from marital status write out the contingerey table for these two variables showing joint and marginal frequencies. (Roundup or down to nearest whole person. After rounding se marital category single and siblings category 6 or more to ensure joint frequencies agree with marginal frequencies) Now for part c) and d) assume you find out the real contingency table showing frecuencies for the sample of 2714 individuals is norital siblings divorced married single Total or more Total 591 1,769 356 2,724 c) Based only on the real contingency table, what is the difference in preot of individuals who have sibling and are married individuals who have two siblings and are married? d) Based only on the real contingency table, given that an individual is married what is the difference in percent of those with him to

Answer 1

We have to construct Relative frear and cumulative selative frequency disten for sibling of a givendata. siblings fregn 99 445 657 Relative frean 0.03647 0.1639 0.2420 0.2251 0:1274 0.0821 9 1226 0.999571 cumulative Relative freg 0.0364 0.2003 0.4423 0.6674 0.7948 0.8769 0.99951 946 223 333 2714 6 08 more Total b) The siblings and marital Stabs are independent then the contgency table are as follows Marital Total siblings married I single divorced! 15: 86 54 305 433 445 657 135 12.7 405 79 611 223 40 83 409 346 223 29 145 193 6ormore 333 96 591 44 354 1769 2714 Total

e) To calculate the difference in Percent of individuals who have one sibling and are married vs. individual who have two sibling and are married Now, il percent of individuals coho have one sibling and are married is : 305 Xteo=11.2390% 2714 " percent of individual coro have too sibling and are married 433 2714 x 100 E x100 - 15.9543 Therefore, difference in percent - is.9543 - 11.2380 To calculate the difference in percent of those coita one siblina vs too. cohen individet al is married is given. Percentage of those with one sibling is 305 * 1769 17,24137 Percentage of those with two siblingee. 433 *100- 24-47777. 1769 i difference = 24.4771 - 17.2 423 - 7.23587