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Calculating Value of Chi Square

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Is the number of children that a college student currently has independent of the type of college or university being attended? Suppose students were randomly selected from three types of colleges and universities and the data shown represent the results of a survey of those students. Use the chi-square test of independence of the answer the question. Let alpha = .05

Type of College or University

Community College Large University Small College
Children 0 25 178 31
Children 1 49 141 12
Children 2 31 54 8
Children 3 or more 22 14 6

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Answer
The null hypothesis tested is
H0: The number of children that a college student currently has independent of the type of college or university being attended.

The alternative hypothesis is
H1: The number ...

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The expert calculates the value of Chi Square.

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Calculating the chi squared value for a monohybrid cross

Gregor Mendel discovered that tall was dominant and short recessive in pea plants. When he crossed two plants that were both heterozygous tall (Tt) he found a 3:1 ratio of tall to short (75% tall, 25% short) in the offspring leading him to conclude that in a monohybrid cross, the offspring would show a 3:1 ratio of dominant to recessive phenotypes. A student in a biology lab wants to know if plant flower color is also determined by simple Mendelian genetics. First she crosses a true breeding white flowering plant with a true breeding red flowering plant and observes that the offspring all produce red flowers. She then crosses two of these red flowering plants and records the phenotypes of the offspring. Analyze her data below using Chi square to determine if her results are similar to Mendelâ??s 3:1 ratio. Calculate the Chi square, Critical Chi square value at P=0.05.

Red Offspring White Offspring
81 29

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