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
Studentka2010 [4]
3 years ago
13

Question Help

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

The null hypothesis is H_0: p \geq 0.2

The alternative hypothesis is H_1: p < 0.2

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

Step-by-step explanation:

Test the claim that the return rate is less than 20%.

At the null hypothesis, we test if the return rate is of at least 20%, that is:

H_0: p \geq 0.2

At the alternative hypothesis, we test if the return rate is less than 20%, that is:

H_1: p < 0.2

Normal distribution as an approximation to the binomial distribution to find the Z-score.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

0.2 is tested at the null hypothesis. Sample of 6957.

This means that p = 0.2, n = 6957. So

\mu = E(X) = np = 6957*0.2 = 1391.4

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6957*0.2*0.8} = 33.36

1319 surveys returned

This means that, due to continuity correction, X = 1319 + 0.5 = 1319.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1319.5 - 1391.4}{33.36}

Z = -2.16

P-value of the test:

The p-value of the test is the probability of 1319 or less people returning the survey, which is the p-value of Z = -2.16.

Looking at the z-table, Z = -2.16 has a p-value of 0.0154.

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

You might be interested in
Help! Simplify (see photo) pls explain<br> If you don’t know pls don’t answer thanks
Temka [501]

Answer:

-8 \sqrt{6}

Step-by-step explanation:

4i\sqrt{-24} \\4i\sqrt{-1} *\sqrt{24} \\4i*i*\sqrt{4}*\sqrt{6}\\-4 * 2*\sqrt{6} \\-8 \sqrt{6}

.

\sqrt{-1} =i \\i*i = -1

7 0
3 years ago
Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a p
Blizzard [7]

Answer: a popcorn is $9

Step-by-step explanation:

soda is $6

8 0
1 year ago
Which number has the greatest absolute value?<br> A) 15 <br> B) 5 <br> C) 0 <br> D) −25
SIZIF [17.4K]

Answer:

25

Step-by-step explanation:

Once the negative value is taken away, it's the largest number out of the bunch.

7 0
3 years ago
Read 2 more answers
K + 9 = 17<br><br> What does k value?<br> k=8<br> k=9<br> k=17 <br> k=26
belka [17]

Answer:

8

Step-by-step explanation:

k + 9 = 17

subtract 9 from both sides:

k = 8

6 0
3 years ago
Read 2 more answers
A histogram is better for _____________ data and a frequency polygon is better for ________data.
Ne4ueva [31]

A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.

<h3>What is histogram?</h3>

A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.

  • The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
  • Columns can be employed to visualize data distribution patterns.
  • Technical analysts use the MACD histogram in trading to making data in momentum.
  • The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.
<h3>What is frequency polygon?</h3>

Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.

  • Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
  • The graph primarily displays cumulative frequency distribution data as a line graph.
  • Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
  • This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.

To know more about the histogram, here

brainly.com/question/2962546

#SPJ4

5 0
1 year ago
Other questions:
  • Whats the answer to -12(4/3-1)
    5·1 answer
  • Solving for X with 1 angle and two congruent sides
    5·1 answer
  • Which of the following will be equal for a cuboid and a pyramid with a triangular base?
    6·2 answers
  • A quadratic polynomial has a degree greater than 2? True or false
    10·2 answers
  • What does 11.25 x 1.5 equal
    13·2 answers
  • Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
    13·1 answer
  • PLZ HELP You need to buy 4 tires for your car. You shop around and find 4 stores giving 4 different deals.
    6·2 answers
  • (3n-2)(4n+1)<br> how do i solve this by factoring?
    15·1 answer
  • Simplify the attached question​
    13·2 answers
  • A pizza has a diameter of 16 inches. What is the best approximation for the circumference of the pizza? Use 3. 14 to approximate
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!