1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AVprozaik [17]
2 years ago
8

In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele

cted from an online group involved with ears. There were 1302 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution
Mathematics
1 answer:
vladimir1956 [14]2 years ago
3 0

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

brainly.com/question/15980493

#SPJ1

You might be interested in
Find the determinant of G
artcher [175]
The determinant is found by the formula ad-cb

where the letters are:  a and b is the top row and c and d is the bottom row
 so ad =  12*2 and cb = -6*0

12x2 = 24
-6x0 =0

24-0 = 24
 the determinant = 24

3 0
3 years ago
Peter went to his local zoo where 50% of its exhibits featured lions. If the zoo features 24 exhibits in total, then how many of
Sauron [17]
12 exhibits featured lions since half of 24 is 12.
3 0
3 years ago
Read 2 more answers
Samantha has $300 for guitar lessons to learn her favorite song mr. Jones charges $800 per lesson and requires three lessons to
Ne4ueva [31]

Mr.Jones charges $800 per lesson and requires 3 lessons

That means mr Jones will charge Samantha 800x3 = $2400 in total.

Mr. Police charges $62 per lesson and requires 4 lessons,

62x4 = $248 in total.

Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.

IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON

In that case it would be 80x3 = $240 in total

mr jones would charge less now and it would be better deal for Samantha.

5 0
3 years ago
Perfect square between 1 and 9
Rasek [7]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
What is five fourths of a right angle
MrRa [10]
A right angles is 90 degrees
if you mean 5/4 of the MEASURE of a right angle then
90 times 5/4 (because in math 'of' means multiply)
90 tmes 5/4=450/4=225/2=112.5 degrees
7 0
3 years ago
Read 2 more answers
Other questions:
  • If a = 3, what is the value of the expression 36 ÷ a · 4 + 2? <br> 5 <br> 48 <br> 50 <br> 72
    14·2 answers
  • Graph the equation: x = - 5
    11·1 answer
  • Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. W
    11·2 answers
  • At March 1, 2020, Candy Inc. had supplies on hand of $500. During the month, Candy purchased supplies of $1,200 and used supplie
    9·1 answer
  • Guys help i cant figure this out I'm stressing please help me
    11·1 answer
  • Please please help help me please please!!!
    7·2 answers
  • In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there
    11·1 answer
  • Which function is even? check all that apply
    10·2 answers
  • Write the first four terms of the sequence whose nth term is given by the formula.
    10·2 answers
  • A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands o
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!