Question

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 results.

Answer #1

The U.S. Department of Transportation would like to estimate the
proportion of drivers that are uninsured in the state of
Mississippi. A pilot sample of 60 drivers from Mississippi found
that 18 were uninsured. Determine the total sample size needed to
construct a 99% confidence interval for the proportion of uninsured
drivers in Mississippi with a margin of error equal to 5%.
Use the z-score with three decimal places, Remember the rounding
policy for sample size

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....

The Department of Labor would like to investigate if a
difference exists in the proportion of men and women who are
currently unemployed. A random sample of 150 men found that 15 were
unemployed, and a random sample of 100 women found that 7 were
unemployed. Perform a chi-square test for the Department of Labor
using α = 0.01.

A test of hypothesis was conducted to determine if the
population proportion of all college students that had a tattoo was
less than 30%. A printout for this analysis appears below.
Hypothesis Test - One Proportion
Sample Size 100
Successes 23
Proportion 0.23000
Null Hypothesis: P = 0.3
Alternative Hyp: P < 0.3
Difference -0.07000
Standard Error 0.04208
Z (uncorrected) -1.53 P 0.0633
Based on the information given, would the sample size be
considered a large sample?
Yes. All sample...

Random samples of students at 122 four-year colleges were
interviewed several times since 1995. Of the students who
reporteddrinking alcohol the percentage who reported bingeing at
least three times within the past two weeks was 41.4% of 333
students in 1995 and 21% of 841 students in 2007
a. Estimate the difference between the proportions in 2007and
1995, interpret.
b. Find the standard error for this difference. Interpret
it.
c. Define the two relevant population parameters to compare in
the...

A recent study of high school students shows the percentage of
females and males who have at LEAST one notation in their school
record for inappropriate behavior. A simple random sample of high
school students was interviewed. The students were asked whether
they had a notation for inappropriate behavior in their school
record. Of the 100 females, 21 answered yes, as did 145 of the 400
males.
Part A: Construct and interpret a 99%
confidence interval for the difference in...

1) If Pete is correct that the population proportion p=
0.30 describe the sampling distribution of sample
proportions for simple random samples of n = 150 drawn
from the population of college and university students in
California.
The words “describe the sampling distribution” mean that you
need to specify the shape, center and spread of
the sampling distribution. You should also state whether or not the
conditions are met for the process you are using and show a
calculation to...

You will perform a Chi-Square test and an
ANOVA test. For each hypothesis test make sure to
report the following steps:
Identify the null hypothesis, Ho, and the alternative
hypothesis, Ha.
Determine whether the hypothesis test is left-tailed,
right-tailed, or two-tailed.
Find the critical value(s) and identify the rejection
region(s).
Find the appropriate standardized test statistic. If convenient,
use technology.
Decide whether to reject or fail to reject the null
hypothesis.
Interpret the decision in the context of the original...

Chi-Square Test for Independence
Using Chi-Square, we are looking to see if there is a
significant difference between what we would expect results to be,
and what the actual results were. That is, expected vs.
observed. Use alpha = .05
Listed below are data from a survey conducted recently where
Males and Females responded to their happiness with their
supervisor (this is fictitious data).
Response
Male
Female
Total
Not at all
23
25
48
Somewhat
13
22
35
Very
26...

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...

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