Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.
Answer:
<em>(-2, -6)</em>
Step-by-step explanation:
Given the simultaneous equation
3x-y=0 ... 1
2x+y=-10 ... 2
Add both equations to eliminate y
3x + 2x = 0 - 10
5x = -10
x = -10/5
x = -2
Substitute x = -2 into 1
3(-2)- y = 0
-6 - y = 0
-y = 0+ 6
-y = 6
y = -6
<em>Hence the coordinate (x, y) is (-2, -6)</em>
Answer: 6+ 2y
Step-by-step explanation:
The tree starts off at 6 feet so that doesn't change but it grows constantly 2 feet per year so add 2y to 6 and plug in the number of years for y.
4x-2=2x+8
2x=10
X=5
Explanation: the sides of a square are always congruent, meaning they equal each other. So to find the missing length, all you had to do was make the two equations equal to each other and solve!
