A psychologist believes that 77% of male drivers when lost continue to drive, hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 34 male drivers and asked each what they did when lost. If the belief is true, determine the probability that less than 70% said they continue driving.
A psychologist believes that 77% of male drivers when lost continue to drive, hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 34 male drivers and asked each what they did when lost. If the belief is true, determine the
Concepts and reason
The concept of probability and one sample proportion is used to solve this problem. Probability measures he chance of occurrence of an event and it is a positive number which takes value between 0 and 1 A one sample proportion defines the proportion of the sample values possessing a particular characteristic The proportion is the ratio of the number of individuals in the sample possessing the characteristic to the total number of individuals in the sample.
Fundamentals
For a sample of size n. if x number of sample observation possess a specific characteristic then the sample proportion p is calculated as
.
The z-statistic for a hypothesized proportion p0
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