In a population of fish, approximately 42% are female. A test is conducted to see if, in fact, the proportion is less. State the null and alternative hypotheses.

Short Answer

Expert verified

The null and alternative hypotheses areH0:p=0.42andHa:p<0.42respectively.

Step by step solution

01

introduction 

The null hypothesis of a test generally predicts no impact or no connection between factors, while the alternative hypothesis expresses your exploration forecast of an impact or relationship.

02

explanation

Given female fish population is 42%.

The null hypothesisH0of a test generally predicts no impact or no connection between factors.

The alternative hypothesis Haexpresses your exploration forecast of an impact or relationship.

The null and alternative hypotheses for the female fish population areH0:p=0.42andHa:p<0.42 respectively.

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Most popular questions from this chapter

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A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________.

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"Phillip’s 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, “No way!”

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’s all just for fun.

C’mon 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, “I think it’s much less.

We must do a hypothesis test.

And if you are right,

I won’t put up a fight.

But, if not, then my case will rest.”

We proceeded to call fifty guys

To see whose prediction would fly.

Nineteen of the fifty

Said piercing was nifty

And earrings they’d occasionally buy.

Then there’s the other thirty-one,

Who said they’d never have this done.

So now this poem’s finished.

Will his hopes be diminished,

Or will my nephew have his fun?

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on

average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of

49students and obtain a sample mean of 5.1with a sample standard deviation of 1.2Do the data support your claim at the

1%level?

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