in hypothesis testing if the null hypothesis is rejected
-the alternative hypothesis is likely to be true
- no conclusions can be drawn from the test
-the data must have been accumulated incorrectly
-the sample size has been to small
Using the information posted in the table, what is the null
hypothesis and alternative hypothesis? Identify the test statistic
and p-value from your source data. Would you reject or fail to
reject your null hypothesis? Explain how you came to this
conclusion (i.e. either use the test-statistic or p-value to
support your claim). Would there be sufficient evidence (based upon
your source data) to support the claim that those treated with
magnets have a greater mean reduction in pain than...
Two key concepts in hypothesis testing are the null
and the alternative hypothesis. Formulating the hypothesis test in
the right manner, i.e. by correctly formulating null and
alternative hypothesis is the first step towards solving the
problems in the right manner.
How do we represent these concepts tl (i.e. what abbreviation we
use to denote null and alternative hypothesis)?
In hypothesis testing, we can reject
a. the null hypothesis.
b. the alternative hypothesis.
c. both the null and the alternative hypotheses.
d. neither the null and the alternative hypotheses.
Hypothesis testing conceptual questions: a. Define the null and
alternative hypothesis b. What are the two errors that can occur in
hypothesis testing? What mathematical symbols are used to denote
these errors? c. Define the P-value. How are P-values used in
hypothesis testing? d. How is the significance level of a
hypothesis test determined? e. What assumptions must your data meet
in order to perform a hypothesis test?
Identify the null hypothesis, alternative hypothesis,
test statistic, P-value, conclusion about the
null hypothesis, and final conclusion that addresses
both the claim and the significance level
alpha. Use the P-value method.
A sample of 17 jellybeans with a mean weight of 0.8295 g was
taken. Assume that
σ is known to be 0.0565 g. Consider a hypothesis test that uses
a 0.05 significance level
to test the claim that the mean weight of all jellybeans is
equal to 0.8550 g...
Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, conclusion about the null hypothesis, and final
conclusion that addresses the original claim.
Various temperature measurements are recorded at different times
for a particular city. The mean of 20°C is obtained for 60
temperatures on 60 different days. Assuming that test the claim
that the population mean is 22°C . Use a 0.05 significance level.
Testing Hypothesis Z-Table
Identify the null hypothesis, alternative hypothesis,
test statistic, P-value, conclusion about the null hypothesis, and
final conclusion that addresses the original claim.
a) A poll of 1068 adult Americans reveals that 48% of the voters
surveyed prefer the Democratic candidate for the presidency. At the
0.05 level of significance, test the claim that at least half of
all voters prefer the Democrat.
b) In a sample of 167 children selected randomly from one town,
it is found that 37 of...