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Sliva [168]
2 years ago
9

Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Fin

d the value of the test statistic,
Round to two decimal places as needed
Mathematics
1 answer:
lina2011 [118]2 years ago
6 0

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

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I am so confused! Can anyone help me with this trig problem?
Dominik [7]

\frac{5\pi }{4} or \frac{7\pi }{4}

divide both sides by 2

sinΘ = - \frac{\sqrt{2} }{2}

Since the sin ratio is negative then Θ is in third / fourth quadrants

Θ = sin^{- 1} (\frac{\sqrt{2} }{2}) = \frac{\pi }{4} related acute angle

Θ = ( π + \frac{\pi }{4} ) = \frac{5\pi }{4}

or Θ = ( 2π - \frac{\pi }{4} ) = \frac{7\pi }{4}




4 0
3 years ago
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ______ units. The poi
nalin [4]
Circle formula
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center
and r=radius

to find the radius
we are given one of the points and the center
distnace from them is the radius
distance formula
D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}
points (-3,2) and (1,5)
D=\sqrt{(1-(-3))^{2}+(5-2)^{2}}
D=\sqrt{(4)^{2}+(3)^{2}}
D=\sqrt{16+9}
D=\sqrt{25}
D=5

center is -3,2
r=5
input
(x-(-3))^2+(y-2)^2=5^2
(x+3)^2+(y-2)^2=25 is equation
radius =5
input -7 for x and solve for y
(-7+3)^2+(y-2)^2=25
(-4)^2+(y-2)^2=25
16+(y-2)^2=25
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3 0
3 years ago
Explain why relationship between capacity and fluid ounces
adoni [48]
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5 0
3 years ago
A kite string is 35m long. The angle the string makes with the ground is 50o
kipiarov [429]

Answer:

22.50m

Step-by-step explanation:

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= hypotenuse * cos(50°)

= 35 cos(50°)

= 35*0.64279

= 22.50m

7 0
3 years ago
Hi i will give 50 POINTS and BRAINLIEST to whoever answers this question <br>​
Alina [70]

Answer:

\boxed{4 : 1}

Step-by-step explanation:

Colored Fabric = 48 mm

White Fabric = 1.2 cm

<u><em>Ratio of white fabric to colored fabric is:</em></u>

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To express any ratio, we need to equalize the units  ( 1 cm = 10 mm)

=> 48 mm : 12 mm

     ÷12           ÷12

=> 4 : 1

3 0
3 years ago
Read 2 more answers
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