Question

A researcher claims that the mean annual production of cotton is 3.5 million bales per country. A random sample of 44 countries has a mean of annual production of 2.1 million bales and a standard deviation of 4.5 million bales. Use a 0.05 significance level to test the researcher’s claim.

a. Hypothesis (steps 1-3):

b. Value of Test Statistic (steps 5-6):

c. P-value (step 6):

d. Decision (steps 4 and 7):

e. Conclusion (step 8):

Answer #1

A researcher claims that the mean annual production of cotton is
3.5 million bales per country. A random sample of 44 countries has
a mean of annual production of 2.1 million bales and a standard
deviation of 4.5 million bales. Use a 0.05 significance level to
test the researcher’s claim.
a. Hypothesis (steps 1-3):
b. Value of Test Statistic (steps 5-6):
c. P-value (step 6):
d. Decision (steps 4 and 7):
e. Conclusion (step 8):

A researcher claims that less than 30% of the Ash trees in a
forest are healthy. A random sample of 80 Ash trees is selected and
of those, only 20 are healthy. Use the sample data to test the
researcher’s claim at a signiﬁcance level of 0.05.
(a) State the claim, null hypothesis, and alternative
hypothesis.
Claim: H0: H1:
(b) What tail is the test? If we ﬁnd a test statistic of z = −1.12,
ﬁnd the corresponding P-value and...

5. A researcher claims that 75% percent of Americans think they
are unlikely to contract the Zika virus. In a random sample of 230
Americans, 215 think they are unlikely to contract the Zika virus.
At α = 0.05, is there enough evidence to reject the researcher’s
claim?
(a) identify the claim and state H0 and H1
(b) find the critical value
(c) find the test statistic
(d) decide whether to reject or fail to reject the null
hypothesis
(e)...

A researcher claims that more than 75% of the adults believe in
global warming. Mimi conducted a survey on a random sample of 200
adults. The survey showed that 155 adults in the sample believe in
global warming. Assume Mimi wants to use a 0.05 significance level
to test the researcher’s claim.
(a) What is the appropriate hypothesis test to use for this
analysis? Please identify and explain why it is appropriate.
(b) Identify the null hypothesis and the alternative...

a
researcher claims that the average yearly consumption of soft
drinks per person is greater than 58 gallons. In a sample of 50
randomnky selected people, the mean of the yearly consumption was
62.3 gallons. The standard deviation of the population is 4.5
gallons. At 0.05, test the researchers claim.
what is the p value for this problem (by hand)?

A humane society claims that less than 67% of US households own
a pet. In a random sample of 600 US households, 390 say they own a
pet. Use a 0.01 significance level to test the humane society’s
claim.
a. Hypothesis (steps 1-3):
b. Value of Test Statistic (steps 5-6):
c. P-value (step 6):
d. Decision (steps 4 and 7):
e. Conclusion (step 8):

A manufacturer claims that the mean life time of its lithium
batteries is 1500 hours . A home owner selects 30 of these
batteries and finds the mean lifetime to be 1470 hours with a
standard deviation of 80 hours. Test the manufacturer's claim.
Use=0.05. Round the test statistic to the nearest thousandth.
a) Hypothesis:
b)Critical value (t critical):
c)Test statistic (tstat) and the decision about the test
statistic:(reject or fail to reject Ho):
d)Conclusion that results from the decision...

A pet association claims that the mean annual cost of food for
dogs and cats are the same. The results for samples for the two
types of pets are shown below. Is there enough evidence at ? = 0.05
to reject the pet association’s claim? Assume the population
variances are not equal. Assume the samples are random and
independent and the populations are normally distributed.
Dogs Cats
?̅̅1̅ = $210 ?̅̅2̅ = $187
?1 = 35 ?1 = 31
?1...

A medical researcher says that less than 25?% of adults in a
certain country are smokers. In a random sample of 250 adults from
that? country, 18?% say that they are smokers. At =0.05, is there
enough evidence to support the researcher's claim?
1. Stat the null and alternative hypothesis
2. What is the P-Value?
3. What is the Test Statistic?
4. State the conclusion in Text

A tyre manufacturer claims that more than 90% of his tyres will
last at least 80,000 km. In a random sample of 200 tyres, 190 wore
out after reaching 80,000 km. Does this evidence support the
manufacturer's claim at the 5% level of significance? Use the
following six steps to arrive at your conclusion.
Step 1. Statement of the hypotheses H0: HA:
Step 2. Test statistic and the standardised test statistic
Step 3. Level of significance
Step 4. Decision rule...

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