Scientists have used Mongolian gerbils when conducting neurological research. A certain breed of these gerbils were crossed and gave progeny of the following colors .$\begin{array}{lccc}\text{ Color }& \text{ Black }& \text{ Brown }& \text{ White }\\ \text{ Number of progeny }& 40& 59& 42\end{array}$(a) What is the value of the chi-square test statistic for investigating whether these data are consistent with the 1: 2: 1 ratio predicted by a certain genetic model?(b) The $P$ -value for the chi-square test is $\mathrm{0.149.}$ If $\alpha =0.05$ what is your conclusion regarding $H_0?$

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