Answered: A report summarizes a survey of people…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

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Question

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. The report stated that the proportion of young adults who thought parents would help with buying a house or apartment was 0.37. For the sample of parents, the proportion who said they would help with buying a house or an apartment was 0.27. Based on these data, can you conclude that the proportion of parents who say they would help with buying a house or an apartment is significantly less than the proportion of young adults who think that their parents would help? (Use ? = 0.05. Use p_{young adults} − p_parents.)

a)Find the test statistic.

b) Find the P-value.

c) State your conclusion.

i. Reject H₀. We do not have convincing evidence that the proportion of parents who say they would help with buying a house or apartment is less than the proportion of young adults who think that their parents would help.

ii. Fail to reject H₀. We do not have convincing evidence that the proportion of parents who say they would help with buying a house or apartment is less than the proportion of young adults who think that their parents would help.

iii. Reject H₀. We have convincing evidence that the proportion of parents who say they would help with buying a house or apartment is less than the proportion of young adults who think that their parents would help.

iv. Fail to reject H₀. We have convincing evidence that the proportion of parents who say they would help with buying a house or apartment is less than the proportion of young adults who think that their parents would help.

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