Question

- Using Durkheim’s theory as a basis, a sociologist calculated the following suicide rates (number of suicides per 100,000 population, rounded to the nearest whole number) for 10 “high-anomie and 10 “low-anomie” metropolitan areas. Anomie (normlessness) was indicated by the presence of a large number of newcomers or transients in an area.

High Anomie Low Anomie

19 15

17 20

22 11

18 13

25 14

29 16

20 14

18 9

19 11

23 14

Use a .05 alpha level to test the research hypothesis that high-anomie metropolitan areas have higher suicide rates than low-anomie areas, and answer the following questions:

- Is this a one-tailed or two tailed test? How do you know?
- What is the critical value of the test statistic?
- What is the obtained value of the test statistic?
- What decision about the null hypothesis does your test lead to?
- What does this indicate about differences in suicide rates between high- and low-anomie areas?
- Would your decision be different if you used an alpha level of .01? Explain.

Answer #1

Ans:

High | Low | |

1 | 19 | 15 |

2 | 17 | 20 |

3 | 22 | 11 |

4 | 18 | 13 |

5 | 25 | 14 |

6 | 29 | 16 |

7 | 20 | 14 |

8 | 18 | 9 |

9 | 19 | 11 |

10 | 23 | 14 |

mean |
21 |
13.7 |

std .dev |
3.771 |
3.057 |

a)

One tailed,as we want test if it is higher or not only.

b)

df=10+10-2=18

critical t value=**1.734**

c)

Test statistic:

t=(21-13.7)/SQRT((3.771^2/10)+(3.057^2/10))

t=**4.755**

d)

As,test statistic is greater than 1.734,**Reject the null
hypothesis.**

e)

There is **sufficient evidence to conclude** that
the high-anomie metropolitan areas have **higher suicide
rates** than low-anomie areas.

f)

critical t value for 0.01 alpha level=2.552

Decision will be same,as test statistic is greater than 2.552

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