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Chapter 9: Q. 18 (page 537)

A group of divers is exploring an old sunken ship. Suppose the null hypothesis, H0, is: the sunken ship does not contain buried treasure. State the TypeIand TypeIIerrors in complete sentences.

Short Answer

Expert verified

TypeIerror is: One may believe that a sunken ship contains buried wealth when, in fact, it doesn't.

TypeIIerror is: One may believe that a sunken ship contains buried wealth when, in fact, it doesn't.

Step by step solution

01

Null hypothesis.

The null hypothesis is a statistical theory that states that no statistical link or significance exists between two sets of observed data and measured events in a given single observed variable.

02

State the Type Iand Type II error.

1sterror is defined as rejecting the null hypothesis test when it's true.

If the H0is "There's not any buried treasure aboard the lost ship," then the

TypeIerror is:

One may believe that the sunken ship contains buried treasure when, in fact, it doesn't.

2nderror is characterized as failing to reject the null hypothesis when it's wrong.

As a result, the TypeIIerror is:

One may trust that the sunken ship doesn't hold buried wealth when, in fact, it does.

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Most popular questions from this chapter

It’s a Boy Genetics Labs claim their procedures improve the chances of a boy being born. The results for a test of a single population proportion are as follows:

H0:p=0.50,Ha:p>0.50

α=0.01

p-value=0.025.

Interpret the results and state a conclusion in simple, non-technical terms.

A report by the Gallup Poll found that a woman visits her doctor, on average, at most5.8times each year. A random sample of 20women results in these yearly visit totals

3;2;1;3;7;2;9;4;6;6;8;0;5;6;4;2;1;3;4;1

At the α = 0.05 level can it be concluded that the sample mean is higher than 5.8visits per year?

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 “the drug is unsafe.” 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.

"The Craven," by Mark Salangsang

Once upon a morning dreary

In stats class I was weak and weary.

Pondering over last night’s homework

Whose answers were now on the board

This I did and nothing more.

While I nodded nearly napping

Suddenly, there came a tapping.

As someone gently rapping,

Rapping my head as I snore.

Quoth the teacher, “Sleep no more.”

“In every class you fall asleep,”

The teacher said, his voice was deep.

“So a tally I’ve begun to keep

Of every class you nap and snore.

The percentage being forty-four.”

“My dear teacher I must confess,

While sleeping is what I do best.

The percentage, I think, must be less,

A percentage less than forty-four.”

This I said and nothing more.

“We’ll see,” he said and walked away,

And fifty classes from that day

He counted till the month of May

The classes in which I napped and snored.

The number he found was twenty-four.

At a significance level of 0.05,

Please tell me am I still alive?

Or did my grade just take a dive

Plunging down beneath the floor?

Upon thee I hereby implore.

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?
See all solutions

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