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Chapter 9: Q. 9.10 (page 514)

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.

Short Answer

Expert verified

We do now no longer have sufficient proof to forged severe doubt at the truthfulness ofH0.

Step by step solution

01

Introduction

Boy Genetics Labs improves their procedure in order to improve the chances of a boy being born.

The results of thetest are as follows:

H0:p=0.5,Ha:p≠0.5

α=0.01and p-value=0.025.

It is said that if the p value is greater than the specified alpha value, the null hypothesis is not rejected.

02

Explanation

Now, we see that

pvalue=0.025>0.01=α

Therefore, we will not refuse.

H0:μ=0.5

It simply means that there is not enough evidence to cast serious suspicion on its credibility ofH0

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Most popular questions from this chapter

Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of teen girls smoke to stay thin? The alternative hypothesis is:

a.p<0.30b.p≤0.30c.p≥0.30d.p>0.30

"Blowing Bubbles," by Sondra Prull

Studying stats just made me tense,

I had to find some sane defense.

Some light and lifting simple play

To float my math anxiety away.

Blowing bubbles lifts me high

Takes my troubles to the sky.

POIK! They're gone, with all my stress

Bubble therapy is the best.

The label said each time I blew

The average number of bubbles would be at least 22.

I blew and blew and this I found

From64blows, they all are round!

But the number of bubbles in64blows

Varied widely, this I know.

20per blow became the mean

They deviated by 6, and not16.

From counting bubbles, I sure did relax

But now I give to you your task.

Was22a reasonable guess?

Find the answer and pass this test!

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the α=0.05 level in Kentucky? Are the results applicable across the country? Why?

"Untitled," by Stephen Chen

I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an error occur, the likelihood of generating an error is1%.

So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test programX creates, but more often. To find out if my test program is better than the original, so that I can convince the management that I'm right, I ran my test program to find out how often I can generate the same error. When I ran my test program50 times, I generated the error twice. While this may not seem much better, I think that I can convince the management to use my test program instead of the original test program. Am I right?

A teacher believes that 85%of students in the class will want to go on a field trip to the local zoo. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50students and 39reply that they would want to go to the zoo. For the hypothesis test, use a 1%level of significance.

First, determine what type of test this is, set up the hypothesis test, find the p-value, sketch the graph, and state your conclusion.
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