The table lists the sugar content of two types of apples from three different orchards. At , test the claim that the sugar content of the apples and the orchard where they were grown are not related. 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 5.991 3.827 B) 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 3.827 1.711 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 1.711

Question

The table lists the sugar content of two types of apples from three different orchards. At , test the claim that the sugar content of the apples and the orchard where they were grown are not related. 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 5.991 > 3.827 B) 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 3.827 < 5.991 C) 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 > 1.711 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 1.711 < 12.592

Quizplus · Accepted Answer

The question is asking whether there is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related. This is a test of independence between two categorical variables. The appropriate test is a chi-squared test. At alpha = 0.05 with 4 degrees of freedom, the critical value is 9.488. The test statistic is 3.827. Since 3.827 < 9.488, we fail to reject the null hypothesis and conclude that there is not enough evidence to say that the sugar content of the apple type and the orchard number are related. Therefore, the correct answer is B.

The Table Lists the Sugar Content of Two Types of Apples