In 2006, 12.1% 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 43 births and finds that 5 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.05 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? Yes No b. Verify np(1 - p) 2 10. Round your answer to one decimal place. пр(1 — р) %3 c. Since np(1 - p) < 10, we should use which distribution to obtain the p-value? uniform distribution binomial distribution exponential 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? Но: ? v ? V Ні: ? V ? V 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, 12.1% 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 43 births and finds that 5 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.05 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? Yes No b. Verify np(1 - p) 2 10. Round your answer to one decimal place. пр(1 — р) %3 c. Since np(1 - p) < 10, we should use which distribution to obtain the p-value? uniform distribution binomial distribution exponential 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? Но: ? v ? V Ні: ? V ? V 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In 2006, 12.1% 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 43 births and finds that 5 of them were to mothers under 20 years of age. Test the
sociologist's claim at the a = 0.05 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?
O Yes
No
b. Verify np(1 - p) > 10. Round your answer to one decimal place.
пр(1 — р) —
--
c. Since np(1 – p) < 10, we should use which distribution to obtain the p-value?
uniform distribution
O binomial distribution
exponential 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?
Но: ? v
H1: ? V
? V
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.
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