Answer:
About 254.469 square units
Step-by-step explanation:
To find the area of a circle, you need to multiply the square of the radius by pi. To find the radius of a circle, you need to divide the diameter by 2, which in this case is 18/2=9. Now, you can plug it into the formula to find that the area of this circle is . Hope this helps!
Answer:
(a) Explained below.
(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Step-by-step explanation:
The information provided is:
n (Men who finished the marathon) = 25,221
n (Women who finished the marathon) = 12,883
Compute the proportion of men and women who finished the marathon as follows:
The combined proportion is:
(a)
The hypothesis is:
<em>H</em>₀: The rate of those who finish the marathon is the same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.
<em>Hₐ</em>: The rate of those who finish the marathon is not same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.
Compute the test statistic as follows:
Compute the <em>p</em>-value as follows:
The <em>p</em>-value of the test is more than the significance level. The null hypothesis was failed to be rejected.
Thus, concluding that the rate of those who finish is the same for men and women.
(b)
Compute the 99% confidence interval for the difference between proportions as follows:
The critical value of <em>z</em> for 99% confidence level is 2.58.
Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).