Answer: (0.093,0.267)
Step-by-step explanation:
The confidence interval for the difference in proportion is given by :-
![(p_1-p_2)\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}](https://tex.z-dn.net/?f=%28p_1-p_2%29%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7Bp_1%281-p_1%29%7D%7Bn_1%7D%2B%5Cdfrac%7Bp_2%281-p_2%29%7D%7Bn_2%7D%7D)
Given :
; ![n_2=300](https://tex.z-dn.net/?f=n_2%3D300)
Proportion of men said they wore seatbelts =![p_1=\dfrac{130}{200}=0.65](https://tex.z-dn.net/?f=p_1%3D%5Cdfrac%7B130%7D%7B200%7D%3D0.65)
Proportion of women said they wore seatbelts =![p_2=\dfrac{140}{300}\approx0.47](https://tex.z-dn.net/?f=p_2%3D%5Cdfrac%7B140%7D%7B300%7D%5Capprox0.47)
Significance level : ![\alpha=1-0.95=0.05](https://tex.z-dn.net/?f=%5Calpha%3D1-0.95%3D0.05)
Critical value : ![z_{\alpha/2}=z_{0.025}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.025%7D%3D1.96)
Now, the 95% confidence interval for the difference in proportion of men and women who wear seatbelts will be :-
![(0.65-0.47)\pm (1.96)\sqrt{\dfrac{0.65(1-0.65)}{200}+\dfrac{0.47(1-0.47)}{300}}\\\\\approx0.18\pm0.087\\\\=(0.093,0.267)](https://tex.z-dn.net/?f=%280.65-0.47%29%5Cpm%20%281.96%29%5Csqrt%7B%5Cdfrac%7B0.65%281-0.65%29%7D%7B200%7D%2B%5Cdfrac%7B0.47%281-0.47%29%7D%7B300%7D%7D%5C%5C%5C%5C%5Capprox0.18%5Cpm0.087%5C%5C%5C%5C%3D%280.093%2C0.267%29)
Hence, the 95% confidence interval for the difference in proportion of men and women who wear seatbelts = (0.093,0.267)
Answer:
Step-by-step explanation:
length = 25 in
Perimeter = 86 in
2*(length + width) = 86
2*(25 + N) = 86
Divide both sides by 2
25 + N = 86/2
25 + N = 43
Subtract 25 from both sides
25 + N - 25 = 43 - 25
N = 18
You can turn 0.05 to a fraction by
1- Look at how many digits are beyond the decimal
2- Then put the number 5 as a numerator and your denominator will be 100 because the number 5 is on the hundredths place so 0.05 as a fraction will be 5/100
Answer:are you trying to find the variable
Step-by-step explanation:
Answer:
360°
Step-by-step explanation:
degrees are needed