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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

On a state driver's test, about 40%pass the test on the first try. We want to test if more than 40%pass on the first try. Fill in the correct symbol (=,鈮�,鈮�,<,鈮�,>)for the null and alternative hypotheses.

a.H0:p-0.40

b.Ha:p-0.40

When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is 鈥渢he drug is unsafe.鈥� What is the Type II Error?

a. To conclude the drug is safe when in, fact, it is unsafe.

b. Not to conclude the drug is safe when, in fact, it is safe.

c. To conclude the drug is safe when, in fact, it is safe.

d. Not to conclude the drug is unsafe when, in fact, it is unsafe.

Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys361 schoolmates and finds that135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%.

It is believed that a stock price for a particular company will grow at a rate of 5per week with a standard deviation of1. An investor believes the stock won鈥檛 grow as quickly. The changes in stock price are recorded for ten weeks and are as follows: 4,3,2, 3, 1,7, 2,1,1, 2. Perform a hypothesis test using a 5%level of significance. State the null and alternative hypotheses, find the p-value, state your conclusion, and identify the Type Iand Type IIerrors.

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
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