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Chapter 9: Q. 37 (page 538)

Does the shaded region represent a low or a high p-value compared to a level of significance of 1%?

Short Answer

Expert verified

The shaded region represents a lower p-value.

Step by step solution

01

Given information

The figure is given.

02

Explanation

Typically, the hypothesis test is carried out on a sample of data from a broader population. This test is used to generate results from sample data based on a hypothesis.

A normal distribution is represented by the bell-shaped curve in the example above. The normal distribution is a continuous probability distribution with a bell-shaped form in which all values cluster towards the mean.

The shaded section of the presented figure reflects the p-value, which is a low-level value when compared to the importance of 1 percent because the p-value is zero, which suggests that the claim will not climb above 15cm on average. As a result, 0% of claims can be as high as 17cm, but the shaded area is at a low level, thus the claim will be lower.

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Most popular questions from this chapter

Draw the graph of a two-tailed test.

The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys56online students and finds that the sample mean is29.4with a standard deviation of 2.1. Conduct a hypothesis test.

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5years. A study was then done to see if the meantime has increased in the new century. A random sample of 26first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3years with a standard deviation of 1.8years. Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.

a.Ho_______
b.Ha_______

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

"Phillip鈥檚 Wish," by Suzanne Osorio

My nephew likes to play

Chasing the girls makes his day.

He asked his mother

If it is okay

To get his ear pierced.

She said, 鈥淣o way!鈥�

To poke a hole through your ear,

Is not what I want for you, dear.

He argued his point quite well,

Says even my macho pal, Mel,

Has gotten this done.

It鈥檚 all just for fun.

C鈥檓on please, mom, please, what the hell.

Again Phillip complained to his mother,

Saying half his friends (including their brothers)

Are piercing their ears

And they have no fears

He wants to be like the others.

She said, 鈥淚 think it鈥檚 much less.

We must do a hypothesis test.

And if you are right,

I won鈥檛 put up a fight.

But, if not, then my case will rest.鈥�

We proceeded to call fifty guys

To see whose prediction would fly.

Nineteen of the fifty

Said piercing was nifty

And earrings they鈥檇 occasionally buy.

Then there鈥檚 the other thirty-one,

Who said they鈥檇 never have this done.

So now this poem鈥檚 finished.

Will his hopes be diminished,

Or will my nephew have his fun?
See all solutions

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