In 2006, 12.5% of all live births in the United States were to mothers under 20 years of age. A sociologist claims that births to mothers under 20 years of age is decreasing. The sociologist conducts a simple random sample of 46 births and finds that 6 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.1 level of significance. Preliminary: a. Is it safe to assume that n ≤ 5% of all mothers under 20 years of age in the United States? No Yes b. Verify np(1 - p) > 10. Round your answer to one decimal place. np(1 - p) = c. Since np(1 - p) < 10, we should use which distribution to obtain the p-value? O exponential distribution uniform distribution O binomial distribution Note: Without being given that the population is normally distributed, and that np(1 − p) < 10, we cannot assume normal distribution and are required to use the binomial distribution. Test the claim: a. What are the null and alternative hypotheses? Ho: ?> ? ◇ H₁ ? ? ◇ b. Based on the hypotheses, calculate the p-value using the binomial distribution. Round to four decimal places. p-value c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer ◇ that the population of births to mothers under 20 years of age in the United States is decreasing.

In 2006, 12.5% of all live births in the United States were to mothers under 20 years of age. A sociologist claims that births to mothers under 20 years of age is decreasing. The sociologist conducts a simple random sample of 46 births and finds that 6 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.1 level of significance. Preliminary: a. Is it safe to assume that n ≤ 5% of all mothers under 20 years of age in the United States? No Yes b. Verify np(1 - p) > 10. Round your answer to one decimal place. np(1 - p) = c. Since np(1 - p) < 10, we should use which distribution to obtain the p-value? O exponential distribution uniform distribution O binomial distribution Note: Without being given that the population is normally distributed, and that np(1 − p) < 10, we cannot assume normal distribution and are required to use the binomial distribution. Test the claim: a. What are the null and alternative hypotheses? Ho: ?> ? ◇ H₁ ? ? ◇ b. Based on the hypotheses, calculate the p-value using the binomial distribution. Round to four decimal places. p-value c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer ◇ that the population of births to mothers under 20 years of age in the United States is decreasing.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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