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Can someone please help me answer ALL 9 BLANKS? Thank you A developmental psycho

ID: 3227133 • Letter: C

Question

Can someone please help me answer ALL 9 BLANKS?

Thank you

A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. She wants to know if mothers use smell to recognize their one-week-old infants. To investigate, she selects a random sample of mothers of one-week-old infants Each mother is presented with a garment worn by her infant and two garments worn by unrelated babies. She asks each of the mothers to identify her infant's garment. The resulting data are summarized in the following table that shows the number of mothers who selected each of the three garments. Actual Unrelated Unrelated Baby Baby #1 Baby #2 22 10 The developmental psychologist wants to know if mothers select the garment of their own one-week-old infant more often than might occur by chance. She plans to use a chi-square test for goodness of fit to test her hypothesis. The null hypothesis, that the mothers have no preference for the different garments, can be represented by the following, where the values specify the proportion of the population of mothers who would orient toward each of the garments: Actual Unrelated Unrelated Baby #2 Baby Baby #1 Ho: Fill n the following table with the expected frequencies if the null hypothesis is true

Explanation / Answer

First we determine the expected and actual frequency counts.
Expected value, Ei = n*pi
Here n = 40 and pi = 1/3

?2 = ? [ (Oi - Ei)2 / Ei ] = 8.6

Degrees of freedom = 3 -1 = 2

Critical value for alpha = 0.05, chi square critical value = 7.378 (right tailed with 0.025)


Since the chi square statistic is greater than the critical value, the psychologist rejects the null hypothesis


The psychologist can conclude that some mothers use smell to recognize their one week old infants

Expected 13.33 13.33 13.33 Observed 22 8 10 Oi-Ei 8.67 -5.33 -3.33 (Oi-Ei)^2 75.111 28.444 11.111 (Oi-Ei)^2/Ei 5.633 2.133 0.833