Question

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 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

d)as p vlaue is more than 0.05 level we fail to reject Ho.

e) we do not have sufficient evidence to conclude that government’s estimate too low

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 $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...

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....

The Bureau of Labor Statistics reported that the average yearly
income of dentists in the year 2018 was $110,000. Asample of 81
dentists, which was taken in 2019, showed an average yearly income
of $120,000. Assume the standarddeviation of the
population of dentists in 2019 is
$36,000. We want to test to determine if there has been a
significantdifference in the average
yearly income of dentists.
Following the steps for hypothesis
testing, conduct this hypothesis test at the 5% level...

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...

The Bureau of Labor Statistics reported that the average yearly
income of dentists in the year 2018 was $110,000. A sample of 81
dentists, which was taken in 2019, showed an average yearly income
of $120,000. Assume the standard deviation of the
population of dentists in 2019 is
$36,000. We want to test to determine if there has been a
significant difference in the average
yearly income of dentists.
Following the steps for hypothesis
testing, conduct this hypothesis test at...

Test the claim that the proportion of children from the low
income group that drew the nickel too large is greater than the
proportion of the high income group that drew the nickel too large.
Test at the 0.05 significance level.
18 of 40 children in the low income group drew the nickel too
large, and 13 of 35 did in the high income group.
a) If we use LL to denote the low income group and HH to denote...

Test the claim that the proportion of children from the low
income group that drew the nickel too large is greater than the
proportion of the high income group that drew the nickel too large.
Test at the 0.01 significance level.
25 of 40 children in the low income group drew the nickel too
large, and 11 of 35 did in the high income group.
a) If we use LL to denote the low income group and HH to denote...

Suppose Wall Street securities firms claim that they paid out
year-end bonuses of an average of $95,000 per employee last year.
We take a sample of employees at the ASBE securities firm to see
whether the average year-end bonus is less than the reported mean
of $95,000 for the population.You wish to test the following claims
at a significance level of α = 0 .05.H0: μ = $95,000Ha: μ <
$95,000You believe the population is normally distributed and you
know...

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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