Question

A local school board would like to test the hypothesis that the proportion of Americans who think unions have a positive effect on schools has decreased this year when compared to last year. A random sample of 160 Americans last year found that 48 felt unions have a positive effect on schools. A random sample of 140 Americans this year found that 28 felt unions have a positive effect on schools. Define Population 1 as this year and Population 2 as last year and use the critical value approach to test this hypothesis with α = 0.05.

Answer #1

The Centers for Disease Control (CDC) would like to test the
hypothesis that the proportion of obese adults in the U.S. has
increased this year when compared to last year. A random sample of
120 adults this year found that 9 were obese. Last year, a random
sample of 150 adults found that 15 were obese.
If Population 1 is defined as this year and Population 2 is
defined as last year.
a) Define the null hypothesis and alternative hypothesis....

47. A major producer of ice cream and would like to test the
hypothesis that the average American consumes more than 18 ounces
of ice cream per month. A random sample of 15 Americans was found
to consume an average of 20.2 ounces of ice cream last month. The
standard deviation for this sample was 3.9 ounces. The producer
would like to set α=0.10. The p-value for this hypothesis test is
between _____ and ______ ?

A major producer of ice cream would like to test the hypothesis
that the average American consumes more than 17 ounces of ice cream
per month. A random sample of 25 Americans was found to consume an
average of 17.2 ounces of ice cream last month. The standard
deviation for this sample was 3.9 ounces. The producer would like
to set α=0.10. What is the test statistic for this hypothesis
test?

The
National Center for Education Statistics would like to test the
hypothesis that the proportion of Bachelor's degrees that were
earned by women equals o.60. A random sample of 140 college
graduates with Bachelor degrees found that 75 were women. The
National Center for Education Statistics would like to set
significance level of o.10. What is your conclusion?

6)
A poll found that 74% of Americans favor mandatory testing in
public schools as a way to rate the school. A local school board
conducted a random survey to determine if a smaller proportion of
residents in their district supported the use of mandatory testing.
They found that 68% of the residents were in favor.
The sample data was used to test the hypotheses: Ho: p=0.74; Ha:
p<0.74. The P-value is 0.32.
Which conclusion is supported by this P-value?...

9. A chiropractic school states that 56% of adult Americans have
back pain. A prominent chiropractor disputes that claim; she thinks
the real percentage is lower. She conducts a random sample of 200
adult Americans and determines that 104 of them had back pain.
Using a 2% significance level, conduct all steps of a hypothesis
test to test the local chiropractor’s belief.

Hypothesis Test in the News
School programmes encouraging children to take more
exercise and eat healthily are unlikely to have any real effect on
childhood obesity, a study in the British Medical Journal
suggests.
More than 600 primary school pupils in the West Midlands took
part in a 12-month anti-obesity programme. But the study found no
improvements in the children's diet or activity levels.
Public health officials said they were working with industry to
make food healthier.They also said a...

Perform a hypothesis test to determine if a difference exists in
the proportion of uninsured drivers between the counties of Santa
Clara and San Mateo. A random sample of 150 drivers from Santa
Clara found that 42 were uninsured. A random sample of 125 drivers
from San Mateo found that 23 were uninsured. Define Population 1 as
Santa Clara drivers and Population 2 as San Mateo drivers.
Construct a 90% confidence interval for the difference in
population proportions and interpret...

The average income of American women who work full-time and have
only a high school diploma is $31,666. An economist wonders whether
the mean income of female graduates from the local high school who
work full-time but only have a high school is less than the
national average. A random sample of 42 female graduates from this
local high school who work full-time and only have their high
school diploma found a mean income of $30,052. Assume that the
population...

A recent study at a local college claimed that the
proportion,
p
, of students who commute more than fifteen miles to school is
no more than
20%
. If a random sample of
275
students at this college is selected, and it is found that
68
commute more than fifteen miles to school, can we reject the
college's claim at the
0.1
level of significance?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations...

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