Explanation Given info: The data represents the duration of the pregnancy and the level of care received by the mother in terms of twin child birth, which is provided in the 3 × 3 contingency table . Calculation: The test hypotheses are given below: Null hypothesis: H 0 : There is no association between the pregnancy duration and level of parental care. Alternative hypothesis : H 1 : There is an association between the pregnancy duration and level of parental care. The requirements that must be satisfied to perform a chi-square test are, Counted data condition: Here, the data’s are countable. Expected cell frequency condition: All the expected frequencies must be 5 or greater than 5 Here, the expected frequencies for all categories are greater than 5. Randomization condition: The counts in the cells are independent to each other, and the individual who are counted and their counts for the analysis will be the random sample from some population. By the assumption, the distribution of the above sample pregnancy women who are the representatives of all pregnant women with twin birth and which is random in nature. Here the test is valid, since all the three conditions are satisfied for the data. Degrees of freedom: The degrees of freedom for the test statistic is, . d f = ( r − 1 ) ( c − 1 ) = ( 3 − 1 ) ( 3 − 1 ) = 4 Thus, the degree of freedom is 4

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ISBN: 9780321826275

Author: Richard D. De Veaux

Publisher: PEARSON

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Chapter R, Problem 6.34RE

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Check whether there is evidence of an association between the duration of the pregnancy and the level of care received by the mother or not.

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Chapter R, Problem 6.33RE

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Check whether there is evidence of an association between the duration of the pregnancy and the level of care received by the mother or not.

Solution Summary: The author explains that there is no association between the duration of the pregnancy and the level of parental care.

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Check whether there is evidence of an association between the duration of the pregnancy and the level of care received by the mother or not.

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