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StatisticsQ&A Library13) A 1970 study showed that of American married-couple families, 43% had no children, 18%had one child, 18% had two children and 21% had three or more children. A recent survey of500 American married-couple families revealed that 267 had no children, 87 had one child, 96had two children and 50 had three or more children. At the 0.01 level of significance, test theclaim that the 1970 proportions are no longer valid.MacBook AirFILF10Question

Asked Dec 12, 2019

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Please answer number 13.

Step 1

It is given that 43% had no children, 18% are had one child, 18% are have two children, 21% have three or more children.

The null and alternative hypotheses are stated below:

H_{0}: P_{1}= 0.43, P_{2}= 0.18, P_{3}= 0.18, P_{4}= 0.21.

H_{a}: P_{1}≠ 0.43, P_{2}≠ 0.18, P_{3}≠ 0.18, P_{4 }≠0.21.

The **chi-square test** is appropriate in this situation.

The test statistic is given below:

Step 2

The Expected frequencies and test statis...

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