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Chapter 9: Q.53 (page 539)

Draw the graph of a two-tailed test.

Short Answer

Expert verified

A two-tailed test results from an alternative hypothesis that does not specify a direction. A two-tailed test has two critical regions.

Step by step solution

01

Diagram

A Diagram showing a two-tailed test.

02

Explanation

A two-tailed test signifies that we're looking for an area in the middle of the distribution. Alternatively, your rejection region ( where one rejects the null hypothesis) is on both ends of the tails.

A two-tailed test is required when the degree of uncertainty cannot be known on the higher or lower side.

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Most popular questions from this chapter

A poll done for Newsweek found that 13%of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the Newsweek poll? In complete sentences, also give three reasons why the two polls might give different results.

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year鈥檚 rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than

seven hours of sleep per night, on average? The distribution to be used for this test is X炉~________________

a. N(7.24, 1.9322)

b.N(7.24,1.93)

c. t22

d. t21

You are performing a hypothesis test of a single population proportion. You find out that npis less than five. What must you do to be able to perform a valid hypothesis test?

Determine both TypeIand TypeIIerrors for the following scenario:

Assume a null hypothesis,H0, that states the percentage of adults with jobs is at least 88%.

Identify the TypeIand Type IIerrors from these four statements.

a. Not to reject the null hypothesis that the percentage of adults who have jobs is at least 88%when that percentage is actually less than 88%

b. Not to reject the null hypothesis that the percentage of adults who have jobs is at least 88%when the percentage is actually at least 88%.

c. Reject the null hypothesis that the percentage of adults who have jobs is at least 88%when the percentage is actually at least 88%.

d. Reject the null hypothesis that the percentage of adults who have jobs is at least 88%when that percentage is actually less than 88%.
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