Question

A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 years or more of age) shows a victimization rate of 12.35%. Using this data, test whether:______.

Answer 1

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / $\sqrt{p*(1-p) / n}$

x = 0.1235 - 0.10 / $\sqrt{0.10 * 0.90 / 527}$

x = 0.0235 / $\sqrt{0.09 / 527}$

x = 0.0235 / $\sqrt{0.00017077798}$

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so reject H0

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.