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In: Statistics and Probability

The research department of an insurance company conducted a survey of the cause of automobile accidents...

The research department of an insurance company conducted a survey of the cause of automobile accidents in the last calendar year. A random sample of 200 policies written on single persons revealed that 60 had been in at least one accident. A similar survey of 300 policies written on married persons revealed that 75 had been in at least one accident. At the .05 level of significance, is there a significant difference in the proportion of the population of single and married persons having at least one accident during the period of these surveys? The hypothesis statements for this problem are: H0: πS – πM = 0 H1: πS – πM ≠ 0

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