Runs test for AQI signs
The recorded air quality index (AQI) at a place in a city for consecutive days for the current year is compared with the historical average AQI. The direction of the recorded AQI is noted as '' if it is above the historical average and as '' if it is below the historical average. The dataset is as below: The total number of runs, , is being used to test : The direction of the recorded AQI is random against : The direction of the recorded AQI is not random. Consider the following statements. : The observed value of total number of runs is . : Based on the above dataset, is rejected in favor of at level . Then which one of the following is true? [You may use: Under , with negative signs and positive signs, , , ]
Pick an option to check your answer.