A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 20 vehicles has a mean speed of 50 miles per hour and a standard deviation of 5.2 miles per hour. At a = 0.10, do you have enough evidence to support the county's claim? Complete parts (a) through (d) below. (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: H = 45 O B. Ho: H 2 45 Hat u # 45 Ha: H 45 Ha: H = 45 (b) Calculate the standardized test statistic. (Round to two decimal places as needed.) Use technology to calculate the P-value. P-value = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. A. Reject Ho because the P-value is greater than the significance level, 0.10. B. Reject Ho because the P-value is less than the significance level, 0.10. () C. Fail to reject H. because the P-value is greater than the significance level. 0.10