Question

6. 1 points P A PODStats 11.00 A report sumanes a survey of people in two independent random samples. One same consisted of young adults ( 1935) and the other molecond of 300 met r es ape 19 to 35. The young adults were presented with a variety of situations (such as ting married or buying a house) and were asked why thought that the parents w a y to providencial suport in that w on. The parents of young adults were presented with the same situations and asked if they would be likely to provide financial support to their child in that station (a) When asked about getting married, 415 of the young adults said they thought parents would provide financial support and of the parents and they would provide support Carry out a hypothes test to determine if there is convincing evidence that the proportion of young adults who think s would provide financial support and the proportion of parents who say they would provide support are different (Use 0.05. M a l computer package to calculate the value U - Round your best to two decimal places and your t hree decimal places) State your conclusion We reject we do not have convincing evidence of a difference between the proportion of young adults who think that their parents would provide financial support for marriage and the proportion of parents who say they would provide financial support for marriage we wt to react we have convincing evidence of a difference between the proportion of young adults who think that their parents would provide financial support for marriage and the proportion of parents who say they would provide financial support for marriage were we have convincing in dierence between the proportion of young adults who think that their parents would providencial port for marriage and the proportion of parents who say they would provide financial report for marriage We foltore , we do not have convincing evidence of a difference between the proportion of young adults who think that their prents would provide financial support for marriage and the proportion of parents who say they would (1) The report stated that the proportion of you with buying house or an apartment was 0.27. Besed TIP who thought parents would help with buying a house or apartment was 0.3%. For the sample of parents, the proportion who said they would help these data can you conclude that the proportion of parents who say they would help with buying a house an apartme n antly less than would help us -0.05. Use a statistical computer package to calculate the value and your best statistic to decimal places and your value to four

Answer 1

b)

For Young adult:

n1 = 800, p̂1 = 0.37

For parents:

n2 = 300, p̂2 = 0.27

α = 0.05

Null and Alternative hypothesis:

Ho : p1 = p2

H1 : p1 > p2

Test statistic:

z = (p̂1 - p̂2)/√ [(p̂1*(1-p̂1)/n1)+(p̂2*(1-p̂2)/n2) ]

= (0.37 - 0.27)/√[(0.37*0.63/800) + (0.27*0.73/300)] = 3.25

p-value = 1- NORM.S.DIST(3.2472, 1) = 0.0006

p-value < α, Reject the null hypothesis.