In: Statistics and Probability
What is the level of significance of a test?
the probability σ of rejecting H1 when it is true
the probability α of failing to reject H0 when it is true
the probability α of rejecting H1 when it is true
the probability α of rejecting H0 when it is true
the probability α of failing to reject H1 when it is true
What is the P-value?
the probability that the observed test statistic will take on values less extreme than the test statistic
the probability that the test statistic will take on values less extreme than the observed test statistic
the probability that the test statistic will take on values as extreme or more extreme than the observed test statistic
the probability that the test statistic will take the value of the observed test statistic
the probability that the observed test statistic will take on values as extreme or more extreme than the test statistic
How is the P-value related to the alternate
hypothesis?
The alternate hypothesis determines whether the P-value is calculated using the left-tail, right-tail, or both tails of the sampling distribution.
The P-value is rejected based on the alternate hypothesis.
The alternate hypothesis is rejected based on the P-value.
The P-value is accepted based on the alternate hypothesis.
The P-value determines whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed.
How is the null hypothesis related to the sample test
statistic?
The sample test statistic being accepted or not depends on the null hypothesis
.The null hypothesis is written in terms of the sample test statistic.
The sample test statistic being rejected or not depends on the null hypothesis.
The sample test statistic is not related to the null hypothesis.
The null hypothesis being rejected or not depends on the sample test statistic.
(b) Suppose you want to study the length of time devoted to
commercial breaks for two different types of television programs.
How large should the sample be for a specified margin of
error?
It depends only on the confidence level.
It depends only on the specified margin of error.
It depends on not only the specified margin of error, but also on the confidence level.
What assumptions will you make regarding population
distributions?
that the population distributions are approximately uniform with known standard deviations
that the population distributions are approximately normal with unknown standard deviations
that the population distributions are approximately uniform with unknown standard deviations
that the population distributions are approximately normal with known standard deviations
that the population distributions are approximately normal with known means
What graphics might be appropriate? (Select all that
apply.)
a standard normal distribution
a scatter plot
a regression line
a Student's t distribution showing the area(s) corresponding to the P-value
a standard normal distribution showing the area(s) corresponding to the P-value
What methods of estimation will you use?
estimating x when σ is known
estimating x when μ is known
estimating p in the Binomial distribution
estimating μ when σ is unknown
estimating μ when σ is known
What methods of testing will you use? (Select all that
apply.)
the P-region method
the P-value method
the critical region method
the critical P method