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Can someone fill in all the blanks Attempts: Keep the Highest: /8 1. The chi-squ

ID: 3313614 • Letter: C

Question

Can someone fill in all the blanks

Attempts: Keep the Highest: /8 1. The chi-square goodness-of-fit test- Equal proportions? Aa Aa A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. He wants to know if mothers use smell to recognize their one-week-old infants. To investigate, he 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. He 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 8 10 The developmental psychologist wants to know if mothers select the garment of their own one-week-old infant more or less often than might occur by chance. He plans to use a chi-square goodness-of-fit test to test his hypothesis. Let p1 = the proportion of all mothers who choose the garment worn by their one-week-old infant, p2 = the proportion who choose the garment worn by unrelated baby #1; and p3 = the proportion who choose the garment elated baby #2 arch

Explanation / Answer

Ans:

H0:Mother does not recognize her infant i.e she can not make difference(equal distribution)

Ha:Mother recognize her infant i.e she can make difference(not equal distribution)

Expected count=40/3=13.33

Test statistic:

chi square score=8.600

df=3-1=2

p-value=CHIDIST(8.6,2)=0.0136

As,p-value<0.05,psychologist reject null hypothesis.

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

Observed(O) Expected(E) (O-E)^2/E Actual 22 13.33 5.633 unrelated 1 8 13.33 2.133 unrelated 2 10 13.33 0.833 Total 40 40 8.600