mp3 ownership- an mp3 manufacturer claims that 65% of teenagers 13 to 16 years old have their own mp3 players. a researcher wishes to test claim and selects a random sample of 80 teenagers. she finds that 57 have their own mp3 players. At a=0.05, should the claim be rejected ? use the P-value method. PLEASE EXPLAIN STEP BY STEP

Question
Asked Nov 22, 2019
4 views

mp3 ownership- an mp3 manufacturer claims that 65% of teenagers 13 to 16 years old have their own mp3 players. a researcher wishes to test claim and selects a random sample of 80 teenagers. she finds that 57 have their own mp3 players. At a=0.05, should the claim be rejected ? use the P-value method.

 

PLEASE EXPLAIN STEP BY STEP

check_circle

Expert Answer

Step 1

It is given that 65% of teenagers have their own mp3players. a researcher wants to test claim and selects a random sample of 80 teenagers. She finds that 57 have their own mp3 players.

That is p 0.65 ,n=80,X = 57
help_outline

Image Transcriptionclose

That is p 0.65 ,n=80,X = 57

fullscreen
Step 2

The sample proportion can be calculated as follows:

Thus, the sample proportion is 0.71.

п
57
80
0.71
help_outline

Image Transcriptionclose

п 57 80 0.71

fullscreen
Step 3

The null and alternative hypotheses are stated below:

Null hypothesis: The proportion of teenagers has their own mp3 players is eq...

Ho p 0.65
Hp 0.65
help_outline

Image Transcriptionclose

Ho p 0.65 Hp 0.65

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: 2

A: It is given that the lifetime of chips follows normal distribution with mean 1.4×106 and standard de...

question_answer

Q: Are age and obesity independent? Preform a chi-squared test of independence. Document the 5 steps us...

A: The test statistic is given below: 

question_answer

Q: The average income in a state was ​$64 comma 64,000 per person per year. Suppose the standard deviat...

A: It is given that the average income of residents in a state is 64,000 and standard deviation is 29,0...

question_answer

Q: A die has two of its sides painted green. It is rolled four times. What is the probability of gettin...

A: The probability mass function of binomial distribution is given below:

question_answer

Q: Question 2 in images

A: The null and alternative hypotheses are stated below:Null hypothesis:The average comfortable tempera...

question_answer

Q: The average production cost for major movies is 61 million dollars and the standard deviation is 21 ...

A: Distribution of X:For a normal distribution, the distribution of X is N(µ,σ2).Here, µ=61 and σ=21.Th...

question_answer

Q: For his statistics assignment, Johnson examined differences in quality of grades obtained by student...

A: Johnson examined differences in quality of grades obtained by students on the regular program of a u...

question_answer

Q: Suppose a simple random sample of size nequals=150 is obtained from a population whose size is Upper...

A: It is given that n is 150, N is 15,000 and p is 0.2.

question_answer

Q: The scores on a standardized test are normally distributed with a mean of 95 and standard deviation ...

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...