<h2>
Answer with explanation:</h2>
a) Given : Sample size of students : n =1123
Number of students read above the eighth grade level = 888
Then, Number of students read at or below the eighth grade level =1123-888=235
Then , the sample proportion of tenth graders reading at or below the eighth grade level.:
![\hat{p}=\dfrac{235}{1123}=0.209260908281\approx0.209](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B235%7D%7B1123%7D%3D0.209260908281%5Capprox0.209)
Since, the best estimate for the population proportion is the sample proportion.
Thus, the estimated proportion of tenth graders reading at or below the eighth grade level = 0.209
b) Significance level : ![\alpha= 1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3D%201-0.90%3D0.10)
Critical value : ![z_{\alpha/2}=1.675](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.675)
Confidence level for population proportion:-
![\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.209\pm (1.645)\sqrt{\dfrac{0.209(1-0.209)}{1123}}\\\\=0.209\pm0.0199589370751\\\\\approx 0.209\pm0.020=(0.189,0.229)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.209%5Cpm%20%281.645%29%5Csqrt%7B%5Cdfrac%7B0.209%281-0.209%29%7D%7B1123%7D%7D%5C%5C%5C%5C%3D0.209%5Cpm0.0199589370751%5C%5C%5C%5C%5Capprox%200.209%5Cpm0.020%3D%280.189%2C0.229%29)
Hence, the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level = (0.189,0.229)
The answer is 0.73 because in 0.975 the value of digit 7 is 7/100 ,10 times of 7/100 is 7/10 and the value of 7 in 0.73 is 7/10 ;.tenth value.
Answer:
f(3) > g(3) > h(3)
f(6) > g(6) > h(6)
As x is increasing and all the functions behaving alike so
f(15) > g(15) > h(15)
Step-by-step explanation:
To check the incrasing order substitute values of x, firstly put x=3
we get,
f(3) = 34 , g(3) = 25 , h(3) = 5
thus
f(3) > g(3) > h(3)
Similarly,
f(6) = 91 , g(6) = 49 , h(6) = 14
f(6) > g(6) > h(6)
As x is increasing and all the functions behaving alike so
f(15) > g(15) > h(15)
This is the correct answer people I just took the lesson. -4^-4