Question

A fuel oil company claims that one-fifth of the homes in a certain city are heated by oil. Do we have reason to believe that fewer than one-fifth are heated by oil if, in a random sample of 1000 homes in this city, 150 are heated by oil? Use a 0.05 level of significance.

Answer #1

5. An oil company claims that 45% of the people buying gasoline
in a particular city buy from their company. A random sample of 400
gasoline purchases in this city is collected. If the company’s
claim is correct, find the probability that
a) More than 160, but at most 190 people in the sample purchased
gasoline from this company.
b) Fewer than 200 people in the sample purchased gasoline from
this company.
c) At least 150 people in the sample...

1.
The US Department of Energy reported that 52% of homes in the
USA were heated by natural gas. A random sample of 316 homes in
Oregon found that 152 were heated by natural gas. Test the claim
that proportion of homes in Oregon that were heated by natural gas
is different from the US reported proportion. Use a 5% significance
level. Give answers accurate to at least 3 decimal places.
What are the correct hypotheses? (Select the correct symbols...

(a)In a random sample of 400 homeowners in a given locale, 168
indicate they heat their homes using OIL. The OIL HEATING
Association (OHA) believes that 47% of the homes in that locale are
heated by oil. BUT, the sample data suggests the claimed OHA
proportion is OVERSTATED. Using a 2.5% level of significance, test
the hypothesis that FEWER THAN 47% of the homes in that locale use
OIL heat for their homes. SHOW SIX TYPICAL STEPS in a HYPOTHESIS...

The average price of homes sold in the U.S. in 2013 was
$240,000. A sample of 150 homes sold in Chattanooga in 2013 showed
an average price of $236,000. It is known that the standard
deviation of the population (σ) is $36,000. We are interested in
determining whether the average price of homes sold in Chattanooga
is significantly less than the national average. Use a significance
level of α equal to 0.05.

The US Department of Energy reported that 45% of homes were
heated by natural gas. A random sample of 300 homes in Oregon found
that 170 were heated by natural gas. Test the claim that proportion
of homes in Oregon that were heated by natural gas is different
than what was reported. Use a 5% significance level. Give answer to
at least 4 decimal places.
What are the correct hypotheses? (Select the correct symbols and
use decimal values not percentages.)...

The US Department of Energy reported that 46% of homes were
heated by natural gas. A random sample of 300 homes in Oregon found
that 138 were heated by natural gas. Test the claim that proportion
of homes in Oregon that were heated by natural gas is different
than what was reported. Use a 1% significance level. Give answer to
at least 4 decimal places.
What are the correct hypotheses? (Select the correct symbols and
use decimal values not percentages.)...

One urban affairs sociologist claims that the proportion,
p
, of adult residents of a particular city who have been
victimized by a criminal is at least
55%
. A random sample of
245
adult residents of this city were questioned, and it was found
that
119
of them had been victimized by a criminal. Based on these data,
can we reject the sociologist's claim at the
0.05
level of significance?
Perform a one-tailed test. Then fill in the table...

A physicist claims that more than 19% of all persons exposed to
a certain amount of radiation will feel discomfort. A researcher
selected a random sample, 48 of 220 persons exposed to radiation
felt discomfort.
a)Conduct a test in P-value approach with the significance level
of 0.05.
b) Suppose the researcher selected a random sample of size 50.
14 of 50 persons exposed to radiation felt discomfort. Conduct a
test with the α=0.06 level of significance.

State your conclusion to the hypothesis test. The mayor of a
certain city is tasked with cutting over 5 million dollars out of
next year’s budget and is considering cuts to spending on public
transportation. The mayor decides to conduct a hypothesis test and
will only cut spending on public transportation if fewer than 15%
of residents use the service. In a random sample of 300 residents,
36 reported that they did use public transportation. Perform the
appropriate hypothesis test...

The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced.
The ages of the cars at the time of replacement were (in
months): 23 42 49 48 53 46 30 51 42 52
Use the sample data to calculate the mean age of a car when the
fuel...

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