In 2006, 11.5% 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 36 births and finds that 6 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.01 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? exponential distribution uniform distribution 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: ? p-value = ? ? ◊ b. Based on the hypotheses, calculate the p-value using the binomial distribution. Round to four decimal places. c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer that the population of births to mothers
In 2006, 11.5% 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 36 births and finds that 6 of them were to mothers under 20 years of age. Test the sociologist's claim at the a = 0.01 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? exponential distribution uniform distribution 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: ? p-value = ? ? ◊ b. Based on the hypotheses, calculate the p-value using the binomial distribution. Round to four decimal places. c. Make a decision. Select an answer d. Make a conclusion regarding the claim. Select an answer that the population of births to mothers
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, 11.5% 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 36 births and finds that 6 of them were to mothers under 20
years of age. Test the sociologist's claim at the a = = 0.01 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?
exponential distribution
uniform distribution
Obinomial 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
î
d. Make a conclusion regarding the claim.
that the population of births to mothers
Select an answer
under 20 years of age in the United States is decreasing.
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