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A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 40 miles per hour. A random sample of 20 vehicles has a mean speed of 45 miles per hour and a standard deviation of 4.9 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. A. HO: H 2 40 O B. Ho:H# 40 Ha: p 40 (b) Calculate the standardized test statistic. 1= (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. O A. Fail to reject Ho because the P-value is less than the significance level, 0.10. () B. Fail to reject Ho because the P-value is greater than the significance level, 0.10. O C. Reject Ho because the P-value is less than the significance level, 0.10.d) Interpret the decision in the context of the original claim. A. There is not sufficient evidence to support the county's claim that the mean speed of vehicles is greater than 40 miles per hour. O B. There is sufficient evidence to support the county's claim that the mean speed of vehicles is less than 40 miles per hour. O C. There is not sufficient evidence to support the county's claim that the mean speed of vehicles is less than 40 miles per hour. O D. There is sufficient evidence to support the county's claim that the mean speed of vehicles is greater than 40 miles per hour