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
jeyben [28]
3 years ago
12

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus U

pper H 1​: pgreater than0.6 nequals200​; xequals135​, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals​10.
Use technology to find the P-Value.
Mathematics
1 answer:
kow [346]3 years ago
7 0

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

H_1:P>0.6

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ n \times p\times (1-P)

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion \hat P = \dfrac{x}{n}

= \dfrac{135}{200}

= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

You might be interested in
Which pair of line segments are perpendicular in a quadrilateral
Gnesinka [82]
A quadtriatel is said to contain perpendicular diagnols if four go 90 degree angles are formed at the intersection of these lines
8 0
3 years ago
A swimming pool was 4 meters wide with surface area of 16 square meters.What is the length of the pool?
Agata [3.3K]

Because we're treating the swimming pool as a standard rectangle, rather than a three dimensional shape, we can use the formula L * W = A to calculate the length of the pool.

Length * Width = Area

We've established two key bits of information, and with them we can solve for the final piece.

Length * 4 = 16

4l = 16

Divide both sides by 4.

l = 4

<h3>The length of the pool is 4 meters.</h3>
6 0
3 years ago
Read 2 more answers
100\400<br> As a percentage
finlep [7]
25% because if you simplify the fraction, it would be 1/4 and that is equal to 0.25
3 0
3 years ago
Read 2 more answers
Plzzzzzz helppppp asappppp <br> ****will mark brainliest ****
Sonja [21]

ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:

Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)

Hypotenuse = √2 units.

So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.

Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

AB = \frac{10}{\sqrt{2}}

= \frac{10\sqrt{2}}{\sqrt{2}\sqrt{2}} to rationalize the radical

= \frac{10\sqrt{2}}{2} = 5\sqrt{2}

Thus, each leg is 5\sqrt{2} [/tex].

6 0
3 years ago
Sara is reading a 280-page book. If
fenix001 [56]

Answer:

129 - 280 = 51.. So the answer is 51%

7 0
3 years ago
Other questions:
  • Find the product.
    6·1 answer
  • The graph shows the cost of T-shirts at a local score.
    9·2 answers
  • What is the solution set of 8x+5&lt;7x-1?
    7·1 answer
  • Braelyn Is writing including to officiate rectangle with a width equal to half the length she knows the perimeter is equal to 18
    12·1 answer
  • 4/15 + 7/9 whats the sum
    12·2 answers
  • If someone could please help me on this it would be amazing thank you so much
    11·1 answer
  • One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs
    8·1 answer
  • What is 300 - 25 divided by 3 subtracted by 200 plus 1000 minus 350 is
    7·2 answers
  • Solve using quadratic formula for 2x^(2)-10x+5=0
    8·1 answer
  • On the grid draw y = 4x - 5 for values of c from -2 to 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!