The table lists the sugar content of two types of apples from three different orchards. At $\alpha = 0.05$, test the claim that the sugar content of the apples and the orchard where they we grown are not related. $\begin{array} { l c c c } \text { Sugar Content } & \text { Orchard 1 } & \text { Orchard 2 } & \text { Orchard 3 } \ \text { Apple Type 1 } & 4 & 3 & 7 \ \text { Apple Type } 2 & 31 & 9 & 19 \end{array}$ A) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 12.592 1.375 B) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 5.991 2.625 C) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 1.375

Question

The table lists the sugar content of two types of apples from three different orchards. At $\alpha = 0.05$, test the claim that the sugar content of the apples and the orchard where they we grown are not related. $\begin{array} { l c c c } \text { Sugar Content } & \text { Orchard 1 } & \text { Orchard 2 } & \text { Orchard 3 } \ \text { Apple Type 1 } & 4 & 3 & 7 \ \text { Apple Type } 2 & 31 & 9 & 19 \end{array}$ A) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 12.592 > 1.375 B) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 5.991 > 2.625 C) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 1.375 < 12.592 D) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 2.625 < 5.991

Quizplus · Accepted Answer

The correct answer involves comparing a calculated test statistic to a critical value from a chi-square distribution. The statement "there is not evidence to reject the claim" indicates a situation where the calculated value is less than the critical value, suggesting that the observed differences could be due to chance.

The Table Lists the Sugar Content of Two Types of Apples