Question

Q1) Last year the government made a claim that the average income of the American people was $33,950. However, a sample of 28 people taken recently showed an average income of $34,076 with a standard deviation of $324. Is the government’s estimate too low? Conduct a significance test to see if the true mean is more than the reported average. Use α=0.05.

(a) State the null and alternative hypothesis.

(b) Calculate the test statistic.

(c) Calculate the p-value. Round to 4 decimal places

(d) Make a decision at the 0. 05 significance level to reject Ho or fail to reject Ho.

(e) Write your conclusion in the context of the claim.

Q2) A drug manufacturer claims that fewer than 10% of patients who
take its new drug for treating Alzheimer’s disease will experience
nausea. In a random sample of 250 patients, 23 experienced nausea.
Perform a significance test at the 5% significance level to test
this claim.

(a) State the null and alternative hypothesis.

(b) Calculate the test statistic.

(c) Calculate the p-value. Round to 4 decimal places

(d) Make a decision at the 0. 05 significance level to reject Ho or fail to reject Ho.

(e) Write your conclusion in the context of the claim.

Answer #1

Q1) Last year the government
made a claim that the average income of the American people was
$33,950. However, a sample of 28 people taken recently showed an
average income of $34,076 with a standard deviation of $324. Is the
government’s estimate too low? Conduct a significance test to see
if the true mean is more than the reported average. Use
α=0.05.
(a) State the null and
alternative hypothesis.
(b) Calculate the test
statistic.
(c) Calculate the p-value.
Round to...

Q1) Last year the government made a claim that the average
income of the American people was $34100 However, a sample of 25
people taken recently showed an average income of $34,665 with a
standard deviation of $3200. Is the government’s estimate too low?
Conduct a significance test to see if the true mean is
more than the reported average. Use α=0.05.
(a) State the null and alternative hypothesis.
(b) Calculate the test statistic.
(c) Calculate the p-value. Round to...

2. Last year the government made a claim that the average income
of the American people was $33,950. However,
a sample of 50 people taken recently showed an average income of
$34,076 with a population standard deviation
of $324. Is the government’s estimate too low? Conduct a
significance test to see if the true mean is more than
the reported average. Use a significance level of 0.01.
A. Hypotheses:
B. Test Statistic
C. Critical Value
P – value: _______________
D....

In 1991, 6% of people used illegal opioids.
This year, a company wishes to use their employment drug
screening to test a claim. They take a simple random sample of 2612
job applicants and find that 130 individuals fail the drug test for
illegal opioids. They want to test the claim that the proportion of
the population failing the test is lower than 6%. Use .05 for the
significance level. Round to three decimal places where
appropriate.
Hypotheses:
Ho: p=6%...

Test the claim that the proportion of people who own cats is
larger than 30% at the 0.01 significance level.
The null and alternative hypothesis would be:
The test is: right-tailed two-tailed left-tailed
Based on a sample of 600 people, 33% owned cats The test
statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we: (a)Fail to reject the null hypothesis or
(b)Reject the null hypothesis

A consumer advocate
group claims the average American household spends more than $874
during Christmas. The claim is tested with a sample of 64
households and finds the average of the sample to be $905 with a
standard deviation of $125. Level of significance is 0.05. Answer
the following:
a) write Ho and Ha and
identify which is the claim
b) identify whether
its left, right or two tailed
c) write the
p-value
d) decide whether to
reject or fail...

Use a 0.05 significance level to test the claim that IQ scores
of people with low lead levels vary more than IQ scores of people
with high lead levels. Use the following statistics:
Low Lead Level: n=78, x=92.88462, s=15.34451
High Lead Level: n=21, x=86,90476, s=8.988352
a)Write down the claim
b) Write down the null hypothesis and the alternative
hypothesis. Indicate which one is the claim.
c) Draw the probability distribution curve. Write down the
testing statistic and the P-Value on...

Hypothesis Testing
For 1-3 below simply set up the Null (Ho) and Alternative (H1)
Hypothesis.
1/ Test the claim that less than 10% of households own a
boat.
2/ Test the claim that the mean body weight of college students
is greater than 160 lbs.
3/ Test the claim that the majority of people prefer
iphones.
4/ For 4 and 5 below, perform the hypothesis test. (a) Set up
the null and alternative hypothesis (b) Calculate the test
statistic (c)...

A new drug, Zia, is being tested for lowering blood pressure.
The company claims that less than 10% of users experience side
effects. In a clinical trial of 650 randomly selected patients who
received Zia, 52 reported side effects. Is there evidence at the ∝=
0.05 significance level to support the company’s claim?
a) State the null and alternative hypothesis
b) Calculate the test statistic (by hand!) (2 decimal
places)
c) Reject or Fail to reject the null hypothesis? Why?...

4.A claim is made that 25% of American college students leave
the United States during spring break. You believe this claim is
incorrect. You would like to test the null hypothesis that ? = 0.25
versus the alternative hypothesis that ? ≠ 0.25. You gather data
from a random sample of 100 college students and obtain a test
statistic of 1.8. If we assume the significance (or alpha) level is
α = 0.05, what should your decision be? A. Reject...

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