With a = 0.05, the critical value is Since the chi-square statistic X² is The psychologist the critical value, the psychologist conclude that some one-week-old infants use smell to recognize their fathers. the null hypothesis.

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Chapter11: Data Analysis And Probability
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With a = 0.05, the critical value is
Since the chi-square statistic X² is
The psychologist
the critical value, the psychologist
conclude that some one-week-old infants use smell to recognize their fathers.
the null hypothesis.
Transcribed Image Text:With a = 0.05, the critical value is Since the chi-square statistic X² is The psychologist the critical value, the psychologist conclude that some one-week-old infants use smell to recognize their fathers. the null hypothesis.
A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. He wants to know i one-
week-old infants use smell to recognize their fathers. To investigate, he selects a random sample of one-week-old infants. Each infant is presented
with a garment worn by his or her father and two garments worn by unrelated men. The psychologist observes which garment each of the infants
orients toward.
The resulting data are summarized in the following table that shows the number of infants who oriented toward each of the three garments.
Actual Father Unrelated Man #1 Unrelated Man #2
28
Ho:
The developmental psychologist wants to know if one-week-old infants orient toward the garment of their own father more often than might
occur by chance. He plans to use a chi-square test for goodness of fit to test his hypothesis.
15
The null hypothesis, that the one-week-old infants have no preference for the different garments, can be represented by the following, where the
values specify the proportion of the population of one-week-old infants who would orient toward each of the garments:
3
19
Actual Father Unrelated Man #1 Unrelated Man #2
3
33
Fill in the following table with the expected frequencies if the null hypothesis is true:
The chi-square statistic is x² =
Actual Father Unrelated Man #1 Unrelated Man #2
The distribution of the chi-square statistic has
degree(s) of freedom.
Transcribed Image Text:A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. He wants to know i one- week-old infants use smell to recognize their fathers. To investigate, he selects a random sample of one-week-old infants. Each infant is presented with a garment worn by his or her father and two garments worn by unrelated men. The psychologist observes which garment each of the infants orients toward. The resulting data are summarized in the following table that shows the number of infants who oriented toward each of the three garments. Actual Father Unrelated Man #1 Unrelated Man #2 28 Ho: The developmental psychologist wants to know if one-week-old infants orient toward the garment of their own father more often than might occur by chance. He plans to use a chi-square test for goodness of fit to test his hypothesis. 15 The null hypothesis, that the one-week-old infants have no preference for the different garments, can be represented by the following, where the values specify the proportion of the population of one-week-old infants who would orient toward each of the garments: 3 19 Actual Father Unrelated Man #1 Unrelated Man #2 3 33 Fill in the following table with the expected frequencies if the null hypothesis is true: The chi-square statistic is x² = Actual Father Unrelated Man #1 Unrelated Man #2 The distribution of the chi-square statistic has degree(s) of freedom.
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