Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 39 of the 45 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 87 of the 101 subjects developed rhinovirus infections. Use a 0.01significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test?
A. H0: p1 = p 2
H1: p 1 ≠ p2
B. H0: p1 ≠ p 2
H1: p 1 = p2
C. H0: p1 greater then or equal to p 2
H1: p 1 ≠ p2
D. H0: p1 = p2
H1: p1 < p 2
E. H0: p 1 ≤ p 2
H1: p 1 ≠ p 2
F. H0: p1 = p 2
H1: p1 > p2
2. Identify the test statistic.
z= ???
(Round to two decimal places as needed.)
3. Identify the P-value.
P-value= ???
(Round to three decimal places as needed.)

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

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

0.85% : )

step-by-step explanation: