A truck company wants on-time delivery for 98% of the parts they order from a metal Manufacturing plant. They have been ordering from Hudson Manufacturing but will switch to a New, cheaper manufacturer (Steel-R-Us) unless there is evidence that this new manufacturer Cannot meet the 98% on-time goal. As a test the truck company purchases a random sample of Metal parts from Steel-R-Us, and then determines if these parts were delivered on-time. Which Hypothesis should they test? A) $\mathrm { H } _ { 0 } : p = 0.98$ $\mathrm { H } _ { \mathrm { A } } : p 0.98$ E) $\mathrm { H } _ { 0 } : p 0.98$ $\mathrm { H } _ { \mathrm { A } } : p = 0.98$

Question

A truck company wants on-time delivery for 98% of the parts they order from a metal Manufacturing plant. They have been ordering from Hudson Manufacturing but will switch to a New, cheaper manufacturer (Steel-R-Us) unless there is evidence that this new manufacturer Cannot meet the 98% on-time goal. As a test the truck company purchases a random sample of Metal parts from Steel-R-Us, and then determines if these parts were delivered on-time. Which Hypothesis should they test? A) $\mathrm { H } _ { 0 } : p = 0.98$ $\mathrm { H } _ { \mathrm { A } } : p < 0.98$ B) $\mathrm { H } _ { 0 } : p < 0.98$ $\mathrm { H } _ { \mathrm { A } } : p > 0.98$ C) $\mathrm { H } _ { 0 } : p = 0.98$ $\mathrm { H } _ { \mathrm { A } } : p \neq 0.98$ D) $\mathrm { H } _ { 0 } : p = 0.98$ $\mathrm { H } _ { \mathrm { A } } : p > 0.98$ E) $\mathrm { H } _ { 0 } : p > 0.98$ $\mathrm { H } _ { \mathrm { A } } : p = 0.98$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) should state that the on-time delivery rate is 98% ($p = 0.98$), and the alternative hypothesis ($H_A$) should test if the rate is less than 98% ($p < 0.98$), indicating that the new manufacturer cannot meet the goal.

A Truck Company Wants On-Time Delivery for 98% of the Parts