It can be difficult to motivate preschoolers to practice writing letters. Perhaps a reward system will do the trick, but what type of rewards work? Here are the data from a randomized experiment that compared three treatments among children in preschool. A "success" means that the child completed a worksheet in which they traced the entire alphabet in one sitting. Group 1 2 3 Reward Choice of a small toy Choice of candy Promise of immediate recess Subjects 20 24 16 Successes 13 18 10 (a) Which chi-square test is appropriate in this setting? Explain your reasoning.

(b) State the appropriate hypotheses for performing a chi-square test in this setting.

(c) The chi-square test statistic is x² = 0.847. Calculate the P-value.

(d) Interpret the P-value.

(e) What conclusion would you draw?

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

1. perpendicular

2. parallel

3. perpendicular

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

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step-by-step explanation:

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