sstats

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. As the size of a sample​ increases, the mean of the distribution of sample means increases.

False. As the size of a sample​ increases, the mean of the distribution of sample means does not change.

A large​ P-value in a test will favor a rejection of the null hypothesis

False. A small​ P-value in a test will favor a rejection of the null hypothesis.

Describe type I and type II errors for a hypothesis test of the indicated claim. -A furniture store claims that no more than 70​% of its new customers will return to buy their next piece of furniture. -Describe the type I error.

-A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.70​, but you reject H0​:p≤0.70.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. -A large​ P-value in a test will favor a rejection of the null hypothesis.

-False. A small​ P-value in a test will favor a rejection of the null hypothesis.

If you decide to reject the null​ hypothesis, then you can support the alternative hypothesis.

True

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. -In a hypothesis​ test, you assume the alternative hypothesis is true.

-False. In a hypothesis​ test, you assume the null hypothesis is true.

two-tailed, left-tailed,right-tailed

-If the alternative hypothesis contains the​ not-equal-to inequality​ symbol, then it is a​ two-tailed test. -If the alternative hypothesis contains the​ less-than inequality​ symbol, then it is a​ left-tailed test. -If the alternative hypothesis contains the​ greater-than inequality​ symbol, then it is a​ right-tailed test.

Explain the difference between the​ z-test for μ using rejection​ region(s) and the​ z-test for μ using a​ P-value.

-In the​ z-test using rejection​ region(s), the test statistic is compared with critical values. The​ z-test using a​ P-value compares the​ P-value with the level of significance α. This is the correct answer.

Determine whether the statement shown below is true or false. If it is​ false, rewrite is as a true statement. -If you want to support a​ claim, write it as your null hypothesis.

-The statement is false. If you want to support a​ claim, write it as your alternative hypothesis.

Identify the type I error for a hypothesis test of the indicated claim. -The percentage of adults who retire at age 65 is greater than 62%.

Reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62% when it is actually true.

In hypothesis​ testing, does choosing between the critical value method or the​ P-value method affect your​ conclusion? Explain.

​-No, because both involve comparing the test​ statistic's probability with the level of significance.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal.

The statement is false. A sampling distribution is normal if either n≥30 or the population is normal.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. As the size of a sample​ increases, the standard deviation of the distribution of sample means increases.

This statement is false. A true statement​ is, "As the size of a sample​ increases, the standard deviation of the distribution of sample means​ decreases."

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. If the size of a sample is at least​ 30, then you can use​ z-scores to determine the probability that a sample mean falls in a given interval of the sampling distribution.

This statement is true.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. -If you decide to reject the null​ hypothesis, then you can support the alternative hypothesis.

-This statement is true.

What are the two decisions that you can make from performing a hypothesis​ test?

-fail to reject the null hypothesis -reject the null hypothesis

What are the two types of hypotheses used in a hypothesis​ test? How are they​ related?

-null and alternative -They are complements.