Answer: -6.26
Step-by-step explanation:
Test statistic for population proportion is given by :-
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
, where p = population proportion.
= sample proportion.
n= sample size.
As per given , we have
![H_a:p](https://tex.z-dn.net/?f=H_a%3Ap%3C0.93)
n= 1021
Then, the test statistic will be :-
![z=\dfrac{0.88-0.93}{\sqrt{\dfrac{0.93(1-0.93)}{1021}}}\\\\=\dfrac{-0.05}{\sqrt{0.0000637610186092}}\\\\=\dfrac{-0.05}{0.0079850496936}\\\\=-6.26170179506\approx-6.26](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.88-0.93%7D%7B%5Csqrt%7B%5Cdfrac%7B0.93%281-0.93%29%7D%7B1021%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-0.05%7D%7B%5Csqrt%7B0.0000637610186092%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-0.05%7D%7B0.0079850496936%7D%5C%5C%5C%5C%3D-6.26170179506%5Capprox-6.26)
Hence, the value of the test statistic is -6.26 .
Answer:
x = 10.9
Step-by-step explanation:
Since the triangle is right, use the tangent ratio to find the value of x
tan36° =
=
= ![\frac{x}{15}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B15%7D)
Multiply both sides by 15
15 × tan36° = x
⇒ x = 10.9 ( to nearest tenth )
Given that the distribution of colors for plain MM andies is as follows:
<span>Colors - Purple Yellow Red Orange Green Blue Brown
Percentage - 20% 20% 20% 10% 10% 10% 10%
Suppose
one candy is taken at random from a large bag of plain MM candies, the
probability that the candy is purple of orange is given by:
P(purple candy or orange candy) = P(purple candy) + P(orange candy) = 20% + 10% = <span>30%</span></span>
Answer:
Step-by-step explanation:
1+|2+x|=9
1+|2+x| -1 =9-1
|2+x| = 8
2+x = 8 or 2+x = -8
x=6 or x= -10
Answer:475
Step-by-step explanation:
118.75 is the cost whitch includes a 10$ service fee
118.75x10=475