On a certain stretch of West Street, I claim thatmostcars are going more than 5 miles per hour (mph) over the speed limit. The speed limit is posted at 25 mph. In a random sample of80cars,51of them were traveling faster than 30 mph. Test my claim at the0.01significance level.

Show your steps for calculating the P-value (be sure to use the methods taught in this course).

(a) What is the sample proportion of cars going more than 5 mph over the speed limit? Round your answer to 3 decimal places. p = (b) What is the P-value of the test statistic? Round your answer to 4 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? Choose a or b

1. rejectH₀
2. fail to rejectH₀

(e) Choose the appropriate concluding statement. Choose a, b, c, or d

1. The data supports the claim that most cars are traveling more than 5 mph over the speed limit.
2. There is not enough data to support the claim that most cars are traveling more than 5 mph over the speed limit.
3. We reject the claim that most cars are traveling more than 5 mph over the speed limit.
4. We have proven that most cars are traveling more than 5 mph over the speed limit.

WHAT FUCTION DO I USE IN THE CALCULATOR IS IT 1-PROPZTEST, Z-TEST, T-TEST

THANKS