A sample of 1500 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 27% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.10 level.

since p-value (0.0801) is  <  0.10, the result is significant

so, we reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

Null Hypothesis H₀ : p = 0.27

Alternative Hypothesis H₁ : p ≠ 0.27

Test statistic

z = ( - p)/√()

we substitute

z =  (0.25 - 0.27)/√()

z = -0.02 / √( 0.1971/1500)

z = -0.02 / 0.01146  

z = -1.7452 ≈ -1.75

p-value;

for z = -1.75, the two tailed p value is 0.0801

Decision

since p-value (0.0801) is  <  0.10, the result is significant

so, we reject Null hypothesis

f

step-by-step explanation:

f

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