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
Sladkaya [172]
1 year ago
13

A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does

not equal 0.50. use a level of significance of 0.05.
Mathematics
1 answer:
mylen [45]1 year ago
5 0

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

H_0: p = 0.5

At the alternative hypotheses, we test if it does not equal, hence:

H_1: p \neq 0.5

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are given by:

n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5

Hence the test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

You might be interested in
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard devi
alexira [117]

Answer: 0.8490

Step-by-step explanation:

Given :  The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.

i.e. \mu=30 and \sigma=0.9

Let x denotes the lengths of aluminum-coated steel sheets.

Required Formula : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-

P(29.82

∴ Required probability = 0.8490

3 0
3 years ago
If f(x) = 2x² + 5x - 1; g(x) = x + 3, find the following.
Irina18 [472]
F/g(x) = (2x^2 + 5x - 1)/(x + 3)

f/g(4) = (2(16) + 5(4) -1)/(4 + 3)
         = (32 + 20 -1)/7
         = 51/7
3 0
3 years ago
Need help with this problem explain pls
Usimov [2.4K]
All sides of an equilateral triangle are equal, so all three sides are 9 cm.
To find h, use the pythagorean theorem. This requires use of only one right triangle, where we use b as our h.

a^2+b^2=c^2
(4.5)^2+b^2=(9)^2
(20.25)+b^2=(81)
b^2=(81/20.25) or 4
square root both sides
b=2
6 0
3 years ago
7% of what length is 200 feet ​
Alex17521 [72]

Answer:

Roughly 2857.14

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The coefficient of 8 • 2N is _____.
lesantik [10]

Answer:

16 is the coefficient of N.

Step-by-step explanation:

Coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables. The coefficients of an algebraic term can be positive or negative, and this multiplies the unknown term.

For example:

In 2a, 2 is the coefficient of a;

In x, 1 is the coefficient of x but it is not visible;

In 2/3p, 2/3 is the coefficient of p;

In -3f, -3 is the coefficient of f;

In 3 × 6t, 18 is the coefficient of t.

Variable is a symbol, commonly a single letter, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation for the variables that represent them.

So,

In 8 × 2N, 16 is the coefficient of N ( 8 × 2 = 16)

N is the variable.

7 0
3 years ago
Other questions:
  • How does $4.30 relate 4.3
    6·2 answers
  • Which measure of center would be BEST to use for the following set of data?
    14·2 answers
  • Does anyone know the answer to this? Needed asap
    6·1 answer
  • ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND BE FRIEND REQUESTED
    12·1 answer
  • What is the answer of (x + y + 2) (y+1)?
    9·1 answer
  • Find the area of the semi circle please ​
    8·2 answers
  • Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "ad
    7·1 answer
  • Help!!!!!!!<br> Will mark brainleist
    15·1 answer
  • I realy need help please​
    14·2 answers
  • Simplify the polynomial and evaluate for the following values. x^2 yxy-xy^2xy if x=-3 and y=2 the simplified polynomial is = , T
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!