The historical on-time percentage for Amtrak's Sunset Limited is 10 percent. In July, the train was on time 0 times in 33 runs.Hint:Use Excel to calculate the cumulative binomial probabilityP(X 0 |n= 33,

= 0.10). Assume = 0.1.

(a)Choose the correct null and alternative hypotheses and decision rule.

a. H₀: .10 versusH₁:< .10. RejectH₀ifP0.10

b. H₀: .10 versusH₁:< .10. RejectH₀ifP> 0.10

• a
• b

(b)Find the probability.(Round your answer to 4 decimal places.)

P(X 0)

(c-1)Can we reject the null hypothesis?

• Yes
• No

(c-2)Has the on-time percentage fallen?

• Yes
• No