nsurance companies track life expectancy information to assist in determining the cost of life insurance policies. Five years ago the average life expectancy of all policyholders was 77 years. ABI Insurance wants to determine if its clients now have a longer life expectancy compared to five years ago, on average, so it randomly samples some of its recently paid policies. The insurance company will only change its premium structure if there is evidence that people who buy their policies now are living longer than they were five years ago. The sample has a mean of 78.6 years and a standard deviation of 4.48 years. If the P-value associated with the test statistic is 0.063, as alpha = 0.05, which of the following statements is true. I. we fail to reject the null hypothesis. II. ABI Insurance shouldn't need to increase its premiums because there is little evidence to indicate an increase in average life expectancy. III. we reject the null hypothesis.     I only     II only     III only     I and II

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Insurance companies track life expectancy information to assist in determining the cost of life insurance policies. Five years ago the average life expectancy of all policyholders was 77 years. ABI Insurance wants to determine if its clients now have a longer life expectancy compared to five years ago, on average, so it randomly samples some of its recently paid policies. The insurance company will only change its premium structure if there is evidence that people who buy their policies now are living longer than they were five years ago. The sample has a mean of 78.6 years and a standard deviation of 4.48 years. If the P-value associated with the test statistic is 0.063, as alpha = 0.05, which of the following statements is true. I. we fail to reject the null hypothesis. II. ABI Insurance shouldn't need to increase its premiums because there is little evidence to indicate an increase in average life expectancy. III. we reject the null hypothesis.
   
I only
   
II only
   
III only
   
I and II
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