Question
upstudy study bank question image url

A random sample of 838 births included 425 boys. Use a 0.01 significance level to test the claim that of newborn babies are boys. Do the results
support the belief that of newborn babies are boys?
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
A.





D.

Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)

Ask by Potter Matthews. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Hypotheses:
Test Statistic:

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To test the claim that of newborn babies are boys, we will establish our hypotheses clearly. The null hypothesis, , reflects the statement we want to test against, while the alternative hypothesis, , proposes that the proportion of boys is higher than . The correct pairing from your options is:
A.

Now, let’s calculate the test statistic. The formula for the test statistic in this scenario is given by:
Where:
(the sample proportion),
(the claimed proportion),
and (the sample size).
Substituting in the values gives:
Calculating the denominator:
Now substituting back into the formula for :
When rounding to two decimal places, the test statistic is approximately:
Test Statistic:

Historical Background: The study of birth ratios has fascinated statisticians and demographers for centuries. In many cultures, there’s been a belief in favorable or unfavorable birth ratios that serve various social, economic, and cultural narratives. Initially, the natural sex ratio at birth is often viewed to be around boys for every girls, but factors like maternal age, health, and environmental influences can impact this ratio.
Real-World Application: Understanding birth ratios is crucial in fields ranging from healthcare to social planning. For instance, if a region shows a significant anomaly in birth ratios, it may indicate underlying health issues, gender biases, or socio-economic factors that need addressing. Moreover, policies can be informed by these statistics to promote gender equality and resource allocation for neonatal care.

Related Questions

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy