In a hypothesis test, if the computed p-value is less than 0.001, there is very strong evidence to

reject the null hypothesis

Explanation:

If the p-value is smaller than the significance level alpha, then we reject the null. You can think of the p-value being the probability that the null is correct. If the p-value is below a certain threshold (the significance level), then we can be fairly confident that rejecting the null is a good decision.

Your teacher or textbook might have brought up the phrase "If the p-value is low, then the null must go" as a way to help remember this rule. If the alpha level isn't stated, then usually it defaults to 0.05

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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