The article ``Work-Related Attitudes" (Psychological Reports, 1991:443-450) reports the results of a survey of 395 elementary school teachers and 266 high school teachers. Of the elementary school teachers, 224 said they were very satisfied with their jobs, whereas 126 of the high school high school teachers were very satisfied with their jobs. Consider the elementary school teachers and the high school teachers that were interviewed as two independent groups. Test the claim that the proportion of elementary teachers who are satisfied (p1) is LARGER THAN the proportion of high school teachers who are satisfied (p2), using α=0.05.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The article ``Work-Related Attitudes" (Psychological Reports, 1991:443-450) reports the results of a survey of 395 elementary school teachers and 266 high school teachers. Of the elementary school teachers, 224 said they were very satisfied with their jobs, whereas 126 of the high school high school teachers were very satisfied with their jobs.
Consider the elementary school teachers and the high school teachers that were interviewed as two independent groups. Test the claim that the proportion of elementary teachers who are satisfied (p1) is LARGER THAN the proportion of high school teachers who are satisfied (p2), using α=0.05.
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