HT Process

Verbs

8-3 p394 n11
Original claim: more than 50% of car crashes occur within 5 miles of home
p > 0.5

The Null Hypothesis
H0: p = 0.5

The Alternate Hypothesis
H1: p > 0.5

right tailed test critical region for z distribution

A sample of n = 11000 has 10999 degrees of freedom.
For a right tailed test and a level of significance, α = 0.01
zcritical = 2.326

Data:
p^= 0.52
ztest = (0.52 - 0.5) ⁄ √0.5×0.5 ⁄ 11000 = 4.195

Because 4.195 is IN the Critical Region, we Reject the Null Hypothesis and the statistical analysis of the data can support the original claim.

Conclusion:
The sample data SUPPORT the claim that more than 50% of car crashes occur within 5 miles of home

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