Answer:
180
Step-by-step explanation:
Answer:
what ?
Step-by-step explanation:
Answer: It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.
Step-by-step explanation:
Since we have given that
n = 84
x = 11
So, ![\hat{p}=\dfrac{x}{n}=\dfrac{11}{84}=0.13](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7Bx%7D%7Bn%7D%3D%5Cdfrac%7B11%7D%7B84%7D%3D0.13)
p = 0.20
So, hypothesis:
![H_0:p=\hat{p}\\\\H_a:\hat{p}](https://tex.z-dn.net/?f=H_0%3Ap%3D%5Chat%7Bp%7D%5C%5C%5C%5CH_a%3A%5Chat%7Bp%7D%3Cp)
so, test statistic value would be
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.13-0.20}{\sqrt{\dfrac{0.2\times 0.8}{84}}}\\\\z=-1.604](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%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.13-0.20%7D%7B%5Csqrt%7B%5Cdfrac%7B0.2%5Ctimes%200.8%7D%7B84%7D%7D%7D%5C%5C%5C%5Cz%3D-1.604)
At 1% level of significance, critical value would be
z= 2.58
Since 2.58>-1.604
So, We will accept the null hypothesis.
Hence, It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.
Answer:
a²- b²=(a+b)(a-b)
a² + b²=(a+b)²-2ab or (a-b)²+2ab
(a + b)³=a³+3a²b+3ab²+b³ or, a³+b³+3ab(a+b)