A report summarizes a survey of people in two independent random samples. One sample consisted of 700 young adults (aged 19 to 35) and the other sample consisted of 200 parents of children aged 19 to 35. The young adults were presented with a variety of situations (such as getting married or buying a house) and were asked if they thought that their parents were likely to provide financial support in that situation. 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 situation.   1. When asked about getting married, 41% of the young adults said they thought parents would provide financial support and 43% of the parents said they would provide support. Carry out a hypothesis test to determine if there is convincing evidence that the proportion of young adults who think parents would provide financial support and the proportion of parents who say they would provide support are different. (Use ? = 0.05. Use pyoung adults − pparents.)   a.) Find the test statistic  b.) Find the P-value.   c.) State your conclusion. i. Reject H0. 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. ii. Reject H0. 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.     iii. Fail to reject H0. 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. iv. Fail to reject H0. 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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A report summarizes a survey of people in two independent random samples. One sample consisted of 700 young adults (aged 19 to 35) and the other sample consisted of 200 parents of children aged 19 to 35. The young adults were presented with a variety of situations (such as getting married or buying a house) and were asked if they thought that their parents were likely to provide financial support in that situation. 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 situation.

 

1. When asked about getting married, 41% of the young adults said they thought parents would provide financial support and 43% of the parents said they would provide support. Carry out a hypothesis test to determine if there is convincing evidence that the proportion of young adults who think parents would provide financial support and the proportion of parents who say they would provide support are different.
(Use ? = 0.05. Use pyoung adults − pparents.)
 
a.) Find the test statistic 
b.) Find the P-value.
 
c.) State your conclusion.

i. Reject H0. 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.

ii. Reject H0. 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.    

iii. Fail to reject H0. 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.

iv. Fail to reject H0. 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.

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