Anew radar device is being considered for a certain missile defense system. the system is checked by experimenting with aircraft in which a kill or a no kill is simulated. two research group a and b participated the simulation, and it was found that 63 kills occur out of 100 trials by group a, and 59 kills occur out of 125 trials by group b. is there a significant difference between the proportions of group a and b's simulation? use p-value with significance level of 0.05 to draw a conclusion.

There is significant difference between the proportions of group A and group B.

Step-by-step explanation:

In this question we need to perform an hypothesis test on the difference of proportions (Δπ) and determine if there is any significant difference between the two proportions.

The null and alternative hypothesis are:

The proportion of group A is .

The proportion of group B is .

The weighted average of p (to calculate s) is:

The estimated standard deviation is:

Then we can calculate z as

The P-value for z=2.36 is 0.009, which is less that the significance level of 0.05. The effect is significant and the null hypothesis is rejected.

There is significant difference between the proportions of group A and group B.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

whatvare the choices

step-by-step explanation: