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In: Statistics and Probability

What is the level of significance of a test? the probability σ of rejecting H1 when...

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

Solutions

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