In studying the occurrence of genetic characteristics,the following sample data were obtained.Do the characteristics occur with the same frequency? Use a 10% level of significance. $283045483839\begin{array} { c | r r r r r r } \text { Characteristic } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline \text { Frequency } & 28 & 30 & 45 & 48 & 38 & 39\end{array}$ χ2 = 8.263; P-value = 0.1423

A) Reject the null hypothesis.There is sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.
B) Fail to reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.
C) Fail to reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that the characteristics are independent.
D) Fail to reject the null hypothesis.There is sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.
E) Reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.

Question

In studying the occurrence of genetic characteristics,the following sample data were obtained.Do the characteristics occur with the same frequency? Use a 10% level of significance.

283045483839\begin{array} { c | r r r r r r } \text { Characteristic } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline \text { Frequency } & 28 & 30 & 45 & 48 & 38 & 39\end{array}

χ2 = 8.263; P-value = 0.1423

A) Reject the null hypothesis.There is sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.
B) Fail to reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.
C) Fail to reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that the characteristics are independent.
D) Fail to reject the null hypothesis.There is sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.
E) Reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.

Krizza Inocencio · Accepted Answer

Final Answer : B, Explanation :  The P-value is greater than the significance level of 0.1, which means we fail to reject the null hypothesis. Hence, there is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.

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