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.
Thé correct answer is the third one
T-Shirts $ More Shop: Final cost = 2m + 12
m = mug
You Say It, We Print It: Final Cost = 5m
If you buy 5 mugs from both place:
2 * 5 = 10
10 + 12 = 22
$22 for T-Shirts & More
5 * 5 = $25
$25 from You Say It, We Print It
D. T-Shirts & More is the better buy if you buy more than 4 mugs.
Answer:32.1428571429 feet
Step-by-step explanation:
The flag is 15 feet.
It's shadow is 10.5 feet.
15/10.5=1.4285714286.
So the flag is above mentioned times of the shadow.
And the tree's hight will be,
22.5*1.4285714286
=32.1428571429 feet.
