Monica, a chef at a 5 -star restaurant, makes eight different desserts. She wants to see if the customers prefer any specific dessert over another. She keeps a record of desserts ordered over the course of several weeks. At $a = 0.05$, check to see if the desserts being ordered are equally distributed.
$\begin{array} { l l c } & \text { Dessert } & \text { Frequenc } \ & \text { Chocolate Mousse } & 25 \ & \text { Baked Alaska } & 12 \ & \text { Orange Cheesecake } & 23 \ & \text { Caramel Flan } & 32 \ & \text { Banana Brûlée } & 40 \ & \text { Mississippi Mud Pie } & 20 \ & \text { Ricotta Cannoli } & 38 \ \text { Table 11-2 } & \text { French Walnut Torte } & 34 \end{array}$
-State what the alternative hypothesis would be.
A) $\mathrm { H } _ { 1 }$ : Customers show a preference for a specific dessert.
B) $\mathrm { H } _ { 1 }$ : Customers show no preference for a specific dessert.
C) $\mathrm { H } _ { 1 }$ : Customers show a preference for four desserts.
D) $\mathrm { H } _ { 1 }$ : Customers do not order dessert.

Question

Monica, a chef at a 5 -star restaurant, makes eight different desserts. She wants to see if the customers prefer any specific dessert over another. She keeps a record of desserts ordered over the course of several weeks. At $a = 0.05$, check to see if the desserts being ordered are equally distributed.
$\begin{array} { l l c } & \text { Dessert } & \text { Frequenc } \ & \text { Chocolate Mousse } & 25 \ & \text { Baked Alaska } & 12 \ & \text { Orange Cheesecake } & 23 \ & \text { Caramel Flan } & 32 \ & \text { Banana Brûlée } & 40 \ & \text { Mississippi Mud Pie } & 20 \ & \text { Ricotta Cannoli } & 38 \ \text { Table 11-2 } & \text { French Walnut Torte } & 34 \end{array}$
-State what the alternative hypothesis would be. 
A) $\mathrm { H } _ { 1 }$ : Customers show a preference for a specific dessert.
B) $\mathrm { H } _ { 1 }$ : Customers show no preference for a specific dessert.
C) $\mathrm { H } _ { 1 }$ : Customers show a preference for four desserts.
D) $\mathrm { H } _ { 1 }$ : Customers do not order dessert.

Quizplus · Accepted Answer

The alternative hypothesis should state that there is a difference or preference for at least one dessert over the others. Choice A is the only option that correctly states this. Choice B is incorrect because it states that there is no preference, which is the null hypothesis. Choice C is too specific and only mentions four desserts, while the question asks about all eight. Choice D is irrelevant and does not address the question at hand.

Monica, a Chef at a 5 -Star Restaurant, Makes Eight a=0.05a = 0.05a=0.05

Monica, a Chef at a 5 -Star Restaurant, Makes Eight $a = 0.05$