(Solved): Describe type I and type II errors for a hypothesis test of the indicated claim. A lumber store ...

Describe type I and type II errors for a hypothesis test of the indicated claim. A lumber store claims that no more than $50\%$ of its new customers will return to buy their next order of lumber. Describe the type I error. Choose the correct answer below. A. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.50 , but you fail to reject ${\mathrm{H}}_0$ : $\mathrm{p}?0.50$. B. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.50 , but you reject $H_0$ : $p?0.50$. C. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.50 , but you reject ${\mathrm{H}}_0$ : $\mathrm{p}?0.50$. D. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.50 , but you fail to reject $H_0$ : $p?0.50$. Describe the type II error. Choose the correct answer below. A. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.50 , but you fail to reject $H_0$ : $p?0.50$. B. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.50 , but you reject ${\mathrm{H}}_0$ : $\mathrm{p}?0.50$. C. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is more than 0.50 , but you reject ${\mathrm{H}}_0$ : $\mathrm{p}?0.50$. D. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is more than 0.50 , but you fail to reject ${\mathrm{H}}_0$ : $\mathrm{p}?0.50$.