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.
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, 12.5% 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.
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