Babies Learn Early Who They Can Trust A study1 indicates that babies may choose not to learn from someone they don’t trust. A group of 60 babies, aged 13 to 16 months, were randomly divided into two groups. Each baby watched an adult express great excitement while looking into a box. The babies were then shown the box and it either had a toy in it (the adult could be trusted) or it was empty (the adult was not reliable.) The same adult then turned on a push-on light with her forehead, and the number of babies who imitated the adult’s behavior by doing the same thing was counted. The results are in Table 1. Test at a 5% level to see if there is evidence that babies are more likely to imitate those they consider reliable. Imitated Did not imitate Reliable 18 12 Unreliable 10 20 Table 1 Babies imitate those they trust 1Wood, J., ‘‘Babies Learn Early Who They Can Trust,” Psych-Central, http://psychcentral.com/news/2011/12/07/babies-learn-early-who-they-can-trust/32278.html. (a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. Use subscripts 1 for babies imitating an adult considered reliable and 2 for babies imitating an adult considered unreliable. H0: vs Ha:Edit (b) Give the test statistic and the p-value. Round your answers to three decimal places. test statistic = Enter your answer in accordance to item (b) of the question statement p-value = Enter your answer in accordance to item (b) of the question statement (c) What is the conclusion? Reject H0. Do not reject H0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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Chapter 6, Section 3-HT, Exercise 162 - MathPad

Babies Learn Early Who They Can Trust

A study¹ indicates that babies may choose not to learn from someone they don’t trust. A group of 60 babies, aged 13 to 16 months, were randomly divided into two groups. Each baby watched an adult express great excitement while looking into a box. The babies were then shown the box and it either had a toy in it (the adult could be trusted) or it was empty (the adult was not reliable.) The same adult then turned on a push-on light with her forehead, and the number of babies who imitated the adult’s behavior by doing the same thing was counted. The results are in Table 1. Test at a 5% level to see if there is evidence that babies are more likely to imitate those they consider reliable.

	Imitated	Did not imitate
Reliable	18	12
Unreliable	10	20

Table 1 Babies imitate those they trust

¹Wood, J., ‘‘Babies Learn Early Who They Can Trust,” Psych-Central, http://psychcentral.com/news/2011/12/07/babies-learn-early-who-they-can-trust/32278.html.

(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r.

Use subscripts 1 for babies imitating an adult considered reliable and 2 for babies imitating an adult considered unreliable.

H0: vs Ha:Edit

(b) Give the test statistic and the p-value.

Round your answers to three decimal places.

test statistic = Enter your answer in accordance to item (b) of the question statement

p-value = Enter your answer in accordance to item (b) of the question statement

Reject H0.

Do not reject H0.

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