Question

Hypothesis Test for 1 -Proportion Z

2) of children are believed to carry a gene that predisposes them to juvenile diabetes. Researchers find in a sample of 732 newborns 87 carry the gene.

a) What is the sample proportion p^. What is u p^ and s p^

b) Given the claim that 10% of children have this gene, test at the .05 significance level that the true proportion is greater than .10

Description

Hypotheses:

Conditions check: the Normal Distribution is appropriate for p^, explain why

Methodology/calculations find critical value and test statistic and illustrate rejection region findings

Conclusions: complete sentences in context of the problem

Answer #1

It is believed that 4 % of children have a gene that may be
linked to juvenile diabetes. Researchers at a firm would like to
test new monitoring equipment for diabetes. Hoping to have 24
children with the gene for their study, the researchers test 733
newborns for the presence of the gene linked to diabetes. What is
the probability that they find enough subjects for their study?
What is the probability? Select the correct answer below and, if
necessary,...

It is believed that 44% of children have a gene that may be
linked to juvenile diabetes. Researchers at a firm would like to
test new monitoring equipment for diabetes. Hoping to have 22
children with the gene for their study, the researchers test 735
newborns for the presence of the gene linked to diabetes. What is
the probability that they find enough subjects for their
study?
What is the probability? Select the correct answer below and,
if necessary, fill...

1. To give you guided practice in carrying out a hypothesis test
about a population proportion. (Note: This hypothesis test is also
called a z-test for the population proportion.)
2. To learn how to use statistical software to help you carry
out the test.
Background: This activity is based on the
results of a recent study on the safety of airplane drinking water
that was conducted by the U.S. Environmental Protection Agency
(EPA). A study found that out of a...

1. A city official claims that the proportion of all commuters
who are in favor of an expanded public transportation system is
50%. A newspaper conducts a survey to determine whether this
proportion is different from 50%. Out of 225 randomly chosen
commuters, the survey finds that 90 of them reply yes when asked if
they support an expanded public transportation system. Test the
official’s claim at α = 0.05.
2. A survey of 225 randomly chosen commuters are asked...

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