THA_1_Fall

Psych 226 Fall 2021 Instructor: Karyna Pryiomka

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Take-home Assignment 1
(56 points)
(due September 26th via Blackboard)

Submission notes and instructions:
1. you may complete this homework by hand and upload a picture(s) of your work to Blackboard or you may type your answers and create tables and graphs in Word or Excel and upload them to Blackboard.
2. to avoid losing points, make sure to answer each question in full.
3. read questions carefully.
4. round all answers to 4 decimal points.

Some research (ex: Rowe, 2008) in developmental psychology demonstrates that children whose parents engage in child-directed speech have better vocabulary than their peers whose parents may not engage in child-directed speech as often. To test this theory, Mia recruited a sample of 24 families with 3-year-old children. After recording each child’s biological sex and ethnicity, as well as the family’s household income, Mia randomly assigned her participants to two group. One group (n = 12) was instructed to engage in child-directed speech (Child-directed speech = Yes) for a total of at least 4 hours a day for two weeks. The other group (n= 12) served as a control (Child-directed speech = No), where parents engaged in child-directed speech for less than 4 hours a day. At the end of this two-week period, Mia measured how many new words did the children learn. Below is a hypothetical dataset for this sample. Use this dataset to complete the following tasks:

0. Identify the scale of measurement for each variable in the dataset (Note: there are 6 variables in this dataset). (12 points)

0. Construct a frequency distribution table, including proportion (round to 4 decimal points) and percent columns, for child’s biological sex. (4 points)

0. Sketch an appropriate frequency distribution graph for ethnicity. (4 points)

0. Sketch an appropriate graph showing the frequency distribution of the number of new words learned for children in the child-directed speech group (child-directed speech = Yes). In the same graph, sketch the frequency distribution of the number of new words learned for children in the control group (child-directed speech = No). Use two different colors or use a solid line for one graph and a dashed line for the other). (hint: see problems 20 and 21 in Chapter 2 and homework chapters 1 and 2) (8 points)

0. Calculate the measures of central tendency (all 3) and variability (range and sd) for the number of new words learned by children whose parents engaged in child-directed speech. (10 points)

0. Calculate the measures of central tendency (all 3) and variability (range and sd) for the number of new words learned by children whose parents did not engage in child-directed speech. (10 points)

0. Using your answers for d, e, and f, write a short paragraph comparing the two groups. Does it appear that children’s vocabulary improves when parents engage in child-directed speech for at least 4 hours a day for two weeks? Make sure to report and discuss the distribution shape, the measures of central tendency and the measures of variability for these data in your answer. (8 points)

Participant ID

Child’s biological sex

Ethnicity

Household Income in USD

Child-directed Speech

The number of new words learned

1

Male

Caucasian

95,674

Yes

7

2

Female

Latinx

75,271

Yes

6

3

Female

Asian

85,429

Yes

7

4

Female

Asian

62,823

Yes

3

5

Male

Latinx

141,644

Yes

7

6

Female

Multiracial

73,911

Yes

4

7

Male

Multiracial

144,892

Yes

7

8

Male

African American

71,458

Yes

3

9

Male

African American

63,849

Yes

6

10

Male

Latinx

140,341

Yes

4

11

Male

Asian

118,068

Yes

3

12

Male

Multiracial

93,984

Yes

5

13

Female

African American

101,722

No

6

14

Male

Caucasian

140,449

No

10

15

Male

Multiracial

57,738

No

7

16

Female

Latinx

95,039

No

10

17

Male

Latinx

72,083

No

9

18

Female

Multiracial

70,416

No

6

19

Male

African American

114,927

No

6

20

Female

Caucasian

103,270

No

6

21

Female

African American

84,880

No

9

22

Male

African American

101,978

No

9

23

Female

Latinx

147,217

No

8

24

Female

Multiracial

57,666

No

10

References

Rowe, M. L. 2008. Child-directed speech: Relation to socioeconomic status, knowledge of child development and child vocabulary skill. Journal of Child Language 35 (01), 185-205.

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