Question

In: Statistics and Probability

TYPED ANSWER ONLY A school psychologist wants to determine whether children who live with both parents...

TYPED ANSWER ONLY

A school psychologist wants to determine whether children who live with both parents perform better on school work than children who live with a single parent. She gathers two groups for her comparison, 20 children who live with both parents and another 20 who live with a single parent. The psychologist plans to use scores on a standardized achievement test as an indicator of school performance. Respond to the prompts below. (1 point each)

  • What statistical test would be appropriate in this case? Explain the rationale for your answer.
  • Identify the independent variable in this study.
  • Identify the dependent variable in this study.
  • Describe a potentially confounding variable and explain how that might affect the conclusions from the study.
  • State the null and alternative hypotheses in words.

Solutions

Expert Solution

(1)

Question:

What statistical test would be appropriate in this case? Explain the rationale for your answer.

Two independent samples t test

Explanation:
In this experimentation,the two samples: Sample 1: 20 children who live with both parents and Sample 2: 20 children who live with a single parent. are independent. Sample Sizes: n1 = 20 < 30 and n2   = 20 < 30 Small Samples. Population Standard Deviation is not provided. So, t distribution is appropriate instead of Z score.

(2)

Question:

Identify the independent variable in this study.

Living with both parents or living with a single parent.

(3)

Question:

Identify the dependent variable in this study.

Performance on school work

(4)

Question:

Describe a potentially confounding variable and explain how that might affect the conclusions from the study.

Natural intelligence of a child which will affect the performance of the school work irrespective of whether the child is with both parents or a singleparent is a potentially confounding variable.

(5)

Question:

State the null and alternative hypotheses in words.

H0:Null Hypothesis: (The children who live with both parents do not perform better on school work than children who live with a single parent )

HA: Alternative Hypothesis: (The children who live with both parents perform better on school work than children who live with a single parent ) (Claim)


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