A report describes a survey of 500 licensed drivers. Each driver in the sample was asked if they would prefer to keep complete control of the car while driving, to use a partially self-driving car that allowed partial driver control, or to turn full control over to a driverless car. Suppose that it is reasonable to regard this sample as a random sample of licensed drivers in the United States, and that you want to use the data from this survey to decide if there is evidence that fewer than half of all licensed drivers in the United States prefer to keep complete control of the car while driving. (d) The actual sample proportion observed in the study was p̂ = 0.44. Based on this sample proportion, is there convincing evidence that fewer than 50% of licensed drivers prefer to keep complete control of the car when driving, or is the sample proportion consistent with what you would expect to see when the null hypothesis is true? Support your answer with a probability calculation. (Round your answer to four decimal places.) Fill in the blank Since probability of a sample proportion this small or smaller is blank which is less than the acceptance level of 0.05, there is convincing evidence that fewer than 50% of licensed drivers prefer to keep complete control of the car when driving.
A report describes a survey of 500 licensed drivers. Each driver in the sample was asked if they would prefer to keep complete control of the car while driving, to use a partially self-driving car that allowed partial driver control, or to turn full control over to a driverless car. Suppose that it is reasonable to regard this sample as a random sample of licensed drivers in the United States, and that you want to use the data from this survey to decide if there is evidence that fewer than half of all licensed drivers in the United States prefer to keep complete control of the car while driving.
(d) The actual sample proportion observed in the study was p̂ = 0.44. Based on this sample proportion, is there convincing evidence that fewer than 50% of licensed drivers prefer to keep complete control of the car when driving, or is the sample proportion consistent with what you would expect to see when the null hypothesis is true? Support your answer with a
Since probability of a sample proportion this small or smaller is blank which is less than the acceptance level of 0.05, there is convincing evidence that fewer than 50% of licensed drivers prefer to keep complete control of the car when driving.
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