100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
MATH225 Week 7 Assignment (30 Q/A) / MATH 225N Week 7 Assignment / MATH225 Week 7 Assignment / MATH225N Week 7 Assignment: Hypothesis Test for the mean-Polution Standard Deviation known (Latest, 2021): Chamberlain College of Nursing $15.49   Add to cart

Exam (elaborations)

MATH225 Week 7 Assignment (30 Q/A) / MATH 225N Week 7 Assignment / MATH225 Week 7 Assignment / MATH225N Week 7 Assignment: Hypothesis Test for the mean-Polution Standard Deviation known (Latest, 2021): Chamberlain College of Nursing

 6 views  0 purchase
  • Course
  • Institution

MATH225 Week 7 Assignment (30 Q/A) / MATH 225N Week 7 Assignment / MATH225 Week 7 Assignment / MATH225N Week 7 Assignment: Hypothesis Test for the mean-Polution Standard Deviation known (Latest, 2021): Chamberlain College of Nursing MATH225N Week 7 Assignment: Hypothesis Test for the mean-Polut...

[Show more]

Preview 3 out of 18  pages

  • October 20, 2021
  • 18
  • 2021/2022
  • Exam (elaborations)
  • Questions & answers
avatar-seller
,
, Question
Steve listens to his favorite streaming music service when he works out. He wonders whether
the service's algorithm does a good job of finding random songs that he will like more often
than not. To test this, he listens to 50 songs chosen by the service at random and finds that he
likes 32 of them.

Use Excel to test whether Steve will like a randomly selected song more often than not, and
then draw a conclusion in the context of the problem. Use α=0.05.

Select the correct answer below:

Reject the null hypothesis. There is sufficient evidence to conclude that Steve will like a
randomly selected song more often than not.
Reject the null hypothesis. There is insufficient evidence to conclude that Steve will like a
randomly selected song more often than not.
Fail to reject the null hypothesis. There is sufficient evidence to conclude that Steve will like a
randomly selected song more often than not.
Fail to reject the null hypothesis. There is insufficient evidence to conclude that Steve will like a
randomly selected song more often than not.

Great work! That's correct.Correct answer:
Reject the null hypothesis. There is sufficient evidence to conclude that Steve will like a
randomly selected song more often than not.

Step 1: The sample proportion is pˆ=3250=0.64, the hypothesized proportion is p0=0.5,
and the sample size is n=50.

Step 2: The test statistic, rounding to two decimal places,
is z=0.64−0.50.5(1−0.5)50‾‾‾‾‾‾‾‾‾‾‾‾√≈1.98.

Step 3: Since the test is right-tailed, entering the function =1−Norm.S.Dist(1.98,1) into
Excel returns a p-value, rounding to three decimal places, of 0.024.

Step 4: Since the p-value is less than α=0.05, reject the null hypothesis. There is sufficient
evidence to conclude that Steve will like a randomly selected song more often than not.

Null and alternative hypothesis:
H0: p = 0.5
Ha: p >= 0.5

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller TRUSTEDTUTOR. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $15.49. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

67096 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$15.49
  • (0)
  Add to cart