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.

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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

 
 

 
 
 
 
(c) What is the conclusion?


 

 

Reject H0.

 

Do not reject H0.
 
 
 
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