Estimating P-values A large school district knows that 75% of students in previous years rode the bus to school. Administrators wondered if that figure was still accurate, so they took a random sample of n=80 students and found that p^=65% of those sampled rode the bus to school.
To see how likely a sample like this was to happen by random chance alone, the school district performed a simulation. They simulated 120 samples of n=80 students from a large population where 75% of the students rode the bus to school. They recorded the proportion of students who rode the bus in each sample. Here are the sample proportions from their 120 samples:

They want to test H0:p=75% vs. Ha:p≠75% where p is the true proportion of students in this district that ride the bus to school.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=65%.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"

8

step-by-step explanation: