Perform the Indicated Goodness-Of-Fit Test Using the P-Value Method

question 43

Essay

Perform the indicated goodness-of-fit test using the P-value method. Be sure to state the hypotheses and the significancelevel , to compute the value of the test statistic, to obtain the P-value, and to state your conclusion.
-A study conducted for New Woman magazine indicates that the number of children desired by newly-married American couples is distributed as follows. $\begin{array}{cc}\text { Number of children desired } & \text { Percent } \\ 0 & 9 \% \\1 & 17 \% \\2 & 55 \% \\3 & 11 \% \\\text { Over } 3 & 8 \%\end{array}$
$$\begin{array}{l} \text { A random sample of } 600 \text { couples in California resulted in the following data. }\\ \begin{array} { c c } \underline { \text { Number of children desired } } & \underline { \text { Frequency } } \\ \hline 0 & 55 \\ 1 & 118 \\ 2 & 340 \\ 3 & 60 \\ \text { Over } 3 & 27 \end{array} \end{array}$$ At the 1% significance level, does it appear that the "number of children desired" distribution of California couples is different from that of the American population as a whole?

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