Question

A medical researcher claims that 5% of children under 18 years of age have asthma. In a random sample of 300 children under 18 years of age, 24 children had asthma. Is this evidence that more than 5% of children under 18 years of age have asthma? The null and alternative Hypotheses for the Test are: HO : p = 0.05 HA : p > 0.05 The P-value for this test is 0.0086. What does the P-value mean in the context of this problem.

a) There is a 5% chance that more than 0.86% of a random sample of 300 children under 18 years of age will have asthma.

b) The true proportion of children under 18 years of age who have asthma is 0.86%.

c) There is a 0.86% chance that more than 5% of children under 18 years of age have asthma.

d) If 5% of children under 18 years of age have asthma, there is a 0.86% chance of us observing a random sample of 300 children under 18 years of age having 24 or more with asthma.

Answer #1

A nutritionist claims that children under the age of 10 years
are consuming more than the U.S. Food and Drug Administration’s
recommended daily allowance of sodium, which is 2400mg. To test the
claim, she obtained a random sample of 75 children under the age of
10 and measured their daily consumption of sodium. The sample mean
amount of sodium consumed was 2993 mg and the sample standard
deviation was 1889 mg. Is there significant evidence to support the
nutritionist’s claim...

A researcher records whether n = 247 children do or do
not have asthma at age 13, and then again records whether these
same 247 individuals have asthma 7 years later. Results are shown
in the following table:
Asthma at age 20?
Asthma at age 13?
Yes
No
Yes
55
16
No
12
164
1. What is the expected frequency of "asthma at 13" and "asthma
at 20"? [Answer to 2 decimal places.]
2. What is the expected frequency of...

A nutritionist claims that children under the age of 10 years
are consuming more than the U.S. Food and Drug Administration’s
recommended daily allowance of sodium, which is 2300 mg. To test
this claim, she obtains a random sample of 16 children under the
age of 10, and measures their daily consumption of sodium. The mean
amount of sodium consumed is 2500 mg with a standard deviation of
320 mg. Is there significant evidence to support the claim of the...

A researcher records whether n=280n=280 children do or
do not have asthma at age 13, and then again records whether these
same 280280 individuals have asthma 7 years later. Results are
shown in the following table:
Asthma at age
20?
Asthma at age 13?
Yes
No
Yes
85
17
No
5
173
1. What is the
expected frequency of "asthma at 13" and "asthma at 20"?
[Answer to 2 decimal places.]
2. What is the expected frequency of "asthma at...

A random sample of 40 adults with no children under the age of
18 years results in a mean daily leisure time of 5.96 hours, with
a standard deviation of 2.35 hours. A random sample of 40 adults
with children under the age of 18 results in a mean daily leisure
time of 4.32 hours, with a standard deviation of 1.52 hours.
Construct and interpret a 95% confidence interval for the mean
difference in leisure time between adults with no...

According to the U.S. Census Bureau, 69% of children under the
age of 18 years in the United States live with two parents. Suppose
that in a recent sample of 802 children, 587 were living with two
parents. For the following, round all answers to no fewer than 4
decimal places. Using the critical value approach and α=0.025
α=0.025 , test whether the current percentage of all children under
the age of 18 years in the United States who live...

A random sample of 40 adults with no children under the age of
18 years results in a mean daily leisure time of 5.62 hours, with
a standard deviation of 2.45 hours. A random sample of 40 adults
with children under the age of 18 results in a mean daily leisure
time of 4.41 hours, with a standard deviation of 1.64 hours.
Construct and interpret a 90% confidence interval for the mean
difference in leisure time between adults with no...

According to the U.S. Census Bureau, 69% of children under the
age of 18 years in the United States lived with two parents in
2009. Suppose that in a recent sample of 2025 children, 1237 were
living with two parents.
a. Using the critical value approach and α=0.1,
test whether the current percentage of all children under the age
of 18 years in the United States who live with two parents is
different from 69%.
Round your answer for z...

2. A nutritionist claims that children under the age of 10 years
are consuming more than the U.S. Food and Drug Administration's
recommended daily allowance of sodium, which is 2400 mg. A random
sample of 22 children under the age of 10 was taken to measure
their daily consumption of sodium. The sample mean was 2993 mg.,
with a sample standard deviation of s=1489 mg. Be sure to
check if the conditions are met, and show how you checked
them ...

A researcher claims that the mean annual cost of raising a child
(age 5 and under) y husband-wife families in the U.S is $15,890. In
a random sample of husband-wife families in the U.S., the mean
annual cost of raising a child (age 2 and under) is $15363. The
sample consists of 700 children. Assume the population standard
deviation is $3125. Use 0.10 level of significance.

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