The research department at the home office of New Hampshire Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine the p-value. Hint For the calculations, assume the single persons as the first sample. a. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Ho is rejected if z outside the interval ( b. Compute the pooled proportion. (Round your answer to 2 decimal places.) Pooled proportion c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. Compute the p-value. (Round your answer to 4 decimal places.) p-value

The research department at the home office of New Hampshire Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine the p-value. Hint For the calculations, assume the single persons as the first sample. a. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Ho is rejected if z outside the interval ( b. Compute the pooled proportion. (Round your answer to 2 decimal places.) Pooled proportion c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. Compute the p-value. (Round your answer to 4 decimal places.) p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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