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As the elementary school counselor for six elementary schools in the district, y

ID: 3259420 • Letter: A

Question

As the elementary school counselor for six elementary schools in the district, you are interested in developing strategies to aid parent-child interaction on school-related tasks, particularly reading achievement. You believe that positive attention to reading in a non- threatening and non-frustrating home environment for one hour an even will increase reading comprehension scores. A random sample of 12 third-graders reading below grade level were selected to participate in a small “pilot” study. The parents were given instructions on how to engage their child in a "Positive Reading Activities Program" (PRAP) at home, and on how to make this reading activity pleasant and non-frustrating. Parents were also encouraged to provide their child with undivided attention during this reading period for at least one hour per evening. Each child's reading comprehension scores (high scores indicate better comprehension; 10 is the highest score possible) were assessed with an achievement test the day before and one month after the reading activities program was initiated. The "before" and "after" reading comprehension scores are below for each condition. Child/Family Code Condition 1 “Before PRAP” Comprehension Score Condition 2 “After PRAP” Comprehension Score a 7 8 b 4 4 c 6 5 d 5 6 e 4 3 f 4 7 g 3 2 h 5 5 i 9 10 j 8 8 k 5 7 l 3 4 Which of the following are the correct statements of the null and alternate hypotheses, H0 and HA ? H0: µ1 = µ2 and HA: µ1 µ2 H0: µ1 µ2 and HA: µ1 = µ2 H0: µ1 > µ2 and HA: µ1 µ2 H0: µ1 µ2 and HA: µ1 > µ2 H0: µ1 < µ2 and HA: µ1 µ2 H0: µ1 µ2 and HA: µ1 < µ2 H0: 0 and HA: < 0 H0: 0 and HA: > 0 H0: = 0 and HA: 0

Explanation / Answer

Our believe that positive attention to reading in a non- threatening and non-frustrating home environment for one hour an even will increase reading comprehension scores.

We are expecting high score after PRAP.

This is a one-tailed HA .

Null hypothesis, Ho: d = 0;

Alternate hypothesis, HA:  d < 0; one-tailed left tail

Paired t test

Hypothesized Mean Difference=0

Level of significance = 0.05

Sample Size = 12

DBar = -0.5

Degrees of Freedom = n - 1 = 11

SD = 1.2432

Standard Error = 0.3589

t Test Statistic = -1.3933

Lower-Tail Test

Lower Critical Value

-1.7959

p-Value

0.0955

Do not reject the null hypothesis

Paired t test

Hypothesized Mean Difference=0

Level of significance = 0.05

Sample Size = 12

DBar = -0.5

Degrees of Freedom = n - 1 = 11

SD = 1.2432

Standard Error = 0.3589

t Test Statistic = -1.3933

Lower-Tail Test

Lower Critical Value

-1.7959

p-Value

0.0955

Do not reject the null hypothesis