Question

Do children raised in a communal environment differ from children in general in their ability to recognize emotional expression? A standard test of emotional expression shows a series of pictures of various facial expressions. In this series, the average child in the population in general can identify 14 with a standard deviation of 3. The developmental psychologist administered the picture test to a randomly selected child raised in a communal environment. The child was able to identify 16 expressions correctly. Based on this result, does being raised in a communal environment makes any difference in children's ability to recognize emotional expression? (Use the.01 level.) a. Use the five steps of hypothesis testing.

Answer 1

we have to test that if there is difference in capibility of recognize emotional expression in child from communal environment and normal child that is we have to test that if communal enviromnet child recognize emotional expressions different from 14

so

$H_0: \mu=14 ,H_a: \mu \neq 14$

now here x=16

SD=3

now test statistics is given by

$Z=\frac{x-\mu_0}{SD}=\frac{16-14}{3}=0.667$

since test is two tailed so

P-Value =2*P(Z>0.667)=0.504

since P value is high so we failed to reject H0 hence we do not have enough evidence to conclude that there is difference in capibility of recognize emotional expression in child from communal environment and normal child