Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:
45 square centimeters
Step-by-step explanation:
The area of the triangle is given by ...
A = (1/2)bh
where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.
A = (1/2)(5 cm)(6 cm) = 15 cm^2
__
The area of the rectangle is given by ...
A = bh
where b is the base, 12 cm, and h is the height, 2.5 cm.
A = (12 cm)(2.5 cm) = 30 cm^2
__
The area of the whole figure is the area of the triangle added to the area of the rectangle:
drawing area = 15 cm^2 + 30 cm^2 = 45 cm^2
<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer:
Question A and B are already solved for you in the picture attached.
Step-by-step explanation:
Answer:
$(8967/n + 8.4)
Step-by-step explanation:
0.4nx + 0.6n(x+21) = 8967
nx + 12.6n = 8967
x = 8967/n - 12.6
x+21 = 8967/n + 8.4
Where n is the no. of balls
Example: if total balls were 300
n = 300
More expensive one would cost:
8967/300 + 8.4 = $38.29
