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Chapter 9: Q. 53 (page 539)

Draw the graph of a two-tailed test.

Short Answer

Expert verified

The general two-tailed test graph is:

Step by step solution

01

Introduction

In statistics, a two-tailed test is a procedure that uses a two-sided critical area of a distribution to determine if a sample is larger than or less than a certain range of values. It's utilized in statistical significance testing and null hypothesis testing.

02

Explanation

The general graph of a two-tailed test is as follow:

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Most popular questions from this chapter

A recent survey in the N.Y. Times Almanac indicated that 48.8% of families own stock. A broker wanted to determine if this survey could be valid. He surveyed a random sample of 250 families and found that 142 owned some type of stock. At the 0.05 significance level, can the survey be considered to be accurate?

H0:p=0.5,Ha:p鈮�0.5

Assume the p-value is 0.2564. What type of test is this? Draw the picture of the p-value.

State the Type I and Type II errors in complete sentences given the following statements.

a. The mean number of years Americans work before retiring is 34.

b. At most 60% of Americans vote in presidential elections.

c. The mean starting salary for San Jose State University graduates is at least \(100,000 per year.

d. Twenty-nine percent of high school seniors get drunk each month.

e. Fewer than 5% of adults ride the bus to work in Los Angeles.

f. The mean number of cars a person owns in his or her lifetime is not more than ten.

g. About half of Americans prefer to live away from cities, given the choice.

h. Europeans have a mean paid vacation each year of six weeks.

i. The chance of developing breast cancer is under 11% for women.

j. Private universities mean tuition cost is more than \)20,000 per year.

"William Shakespeare: The Tragedy of Hamlet, Prince of Denmark," by Jacqueline Ghodsi THE CHARACTERS (in

order of appearance):

鈥� HAMLET, Prince of Denmark and student of Statistics

鈥� POLONIUS, Hamlet鈥檚 tutor

鈥� HOROTIO, friend to Hamlet and fellow student

Scene: The great library of the castle, in which Hamlet does his lessons

Act I

(The day is fair, but the face of Hamlet is clouded. He paces the large room. His tutor, Polonius, is reprimanding Hamlet

regarding the latter鈥檚 recent experience. Horatio is seated at the large table at right stage.)

POLONIUS: My Lord, how cans鈥檛 thou admit that thou hast seen a ghost! It is but a figment of your imagination!

HAMLET: I beg to differ; I know of a certainty that five-and-seventy in one hundred of us, condemned to the whips and

scorns of time as we are, have gazed upon a spirit of health, or goblin damn鈥檇, be their intents wicked or charitable.

POLONIUS If thou doest insist upon thy wretched vision then let me invest your time; be true to thy work and speak to

me through the reason of the null and alternate hypotheses. (He turns to Horatio.) Did not Hamlet himself say, 鈥淲hat piece

of work is man, how noble in reason, how infinite in faculties? Then let not this foolishness persist. Go, Horatio, make a

survey of three-and-sixty and discover what the true proportion be. For my part, I will never succumb to this fantasy, but

deem man to be devoid of all reason should thy proposal of at least five-and-seventy in one hundred hold true.

HORATIO (to Hamlet): What should we do, my Lord?

HAMLET: Go to thy purpose, Horatio.

HORATIO: To what end, my Lord?

HAMLET: That you must teach me. But let me conjure you by the rights of our fellowship, by the consonance of our youth,

but the obligation of our ever-preserved love, be even and direct with me, whether I am right or no.

(Horatio exits, followed by Polonius, leaving Hamlet to ponder alone.)

Act II

(The next day, Hamlet awaits anxiously the presence of his friend, Horatio. Polonius enters and places some books upon the

table just a moment before Horatio enters.)

POLONIUS: So, Horatio, what is it thou didst reveal through thy deliberations?

HORATIO: In a random survey, for which purpose thou thyself sent me forth, I did discover that one-and-forty believe

fervently that the spirits of the dead walk with us. Before my God, I might not this believe, without the sensible and true

avouch of mine own eyes.

POLONIUS: Give thine own thoughts no tongue, Horatio. (Polonius turns to Hamlet.) But look to鈥檛 I charge you, my Lord.

Come Horatio, let us go together, for this is not our test. (Horatio and Polonius leave together.)

HAMLET: To reject, or not reject, that is the question: whether 鈥榯is nobler in the mind to suffer the slings and arrows of

outrageous statistics, or to take arms against a sea of data, and, by opposing, end them. (Hamlet resignedly attends to his

task.)

(Curtain falls)

"Asian Family Reunion," by Chau Nguyen every two years it comes around. We all get together from different towns. In my honest opinion, It's not a typical family reunion. Not forty, or fifty, or sixty, But how about seventy companions! The kids would play, scream, and shout One minute they're happy, another they'll pout. The teenagers would look, stare, and compare from how they look to what they wear. The men would chat about

their business . That they make more, but never less. Money is always their subject and there's always talk of more new projects. The women get tired from all of the chats. They head to the kitchen to set out the mats. Some would sit and some would stand eating and talking with plates in their hands. Then come the games and the songs and suddenly, everyone gets along! With all that laughter, it's sad to say that it always ends in

the same old way. They hug and kiss and say "good-bye" and then they all begin to cry! I say that 60 percent shed their tears but my mom counted 35 people this year. She said

that boys and men will always have their pride, so we won't ever see them cry. I myself don't think she's correct, so could you please try this problem to see if you object?
See all solutions

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