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2. The chi-square test for goodness of fit- No preference A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. He wants to know if one-week-old infants use smell to recognize their siblings. To investigate, he selects a random sample of one-week-old infants. Each infant is presented with a garment worn by his or her sibling and two garments worn by unrelated children. 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 Sibling Unrelated Child 1 Unrelated Child #2 27 23 The developmental psychologist wants to know if one-week-old infants orient toward the garment of their own sibling more often than might occur by chance. He plans to use a chi-square test for goodness of fit to test his hypothesis. Ho: 22 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: Actual Sibling Unrelated Child #1 Unrelated Child #2

2. The chi-square test for goodness of fit- No preference A developmental psychologist is studying bonding between healthy newborn babies and immediate family members. He wants to know if one-week-old infants use smell to recognize their siblings. To investigate, he selects a random sample of one-week-old infants. Each infant is presented with a garment worn by his or her sibling and two garments worn by unrelated children. 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 Sibling Unrelated Child 1 Unrelated Child #2 27 23 The developmental psychologist wants to know if one-week-old infants orient toward the garment of their own sibling more often than might occur by chance. He plans to use a chi-square test for goodness of fit to test his hypothesis. Ho: 22 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: Actual Sibling Unrelated Child #1 Unrelated Child #2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. The chi-square test for goodness of fit- No preference A developmental psychologist is studying banding between healthy newborn babies and immediate family members. He wants to know if one-week-old Infants use smell to recognize their siblings. To investigate, he selects a random sample of one-week-old infants. Each infant is presented with a garment worn by his or her sibling and two garments worn by unrelated children. 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 Sibling 23 Unrelated Child #1 Unrelated Child #2 22 The developmental psychologist wants to know if one-week-old infants orient toward the garment of their own sibling more often than might occur by chance. He plans to use a chi-square test for goodness of fit to test his hypothesis. Ho: 27 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: Actual Sibling Unrelated Child #1 Unrelated Child #2 G
Transcribed Image Text:2. The chi-square test for goodness of fit- No preference A developmental psychologist is studying banding between healthy newborn babies and immediate family members. He wants to know if one-week-old Infants use smell to recognize their siblings. To investigate, he selects a random sample of one-week-old infants. Each infant is presented with a garment worn by his or her sibling and two garments worn by unrelated children. 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 Sibling 23 Unrelated Child #1 Unrelated Child #2 22 The developmental psychologist wants to know if one-week-old infants orient toward the garment of their own sibling more often than might occur by chance. He plans to use a chi-square test for goodness of fit to test his hypothesis. Ho: 27 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: Actual Sibling Unrelated Child #1 Unrelated Child #2 G
Fill in the following table with the expected frequencies if the null hypothesis is true: Actual Sibling Unrelated Child #1 Unrelated Child #2 The chi-square statistic is x²- The distribution of the chi-square statistic has Use the following Distributions tool to find the critical value. Chi-Square Distribution ^^ With a 0,05, the critical value is degree(s) of freedom. The psychologist can 10 Since the chi-square statistic x² is greater than the critical value, the psychologist does not reject conclude that some one-week-old infants use smell to recognize their siblings. 11 the null hypothesis.
Transcribed Image Text:Fill in the following table with the expected frequencies if the null hypothesis is true: Actual Sibling Unrelated Child #1 Unrelated Child #2 The chi-square statistic is x²- The distribution of the chi-square statistic has Use the following Distributions tool to find the critical value. Chi-Square Distribution ^^ With a 0,05, the critical value is degree(s) of freedom. The psychologist can 10 Since the chi-square statistic x² is greater than the critical value, the psychologist does not reject conclude that some one-week-old infants use smell to recognize their siblings. 11 the null hypothesis.
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