The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 100 Married, no children 29% 121 Single parent 9% 35 One person 25% 88 Other (e.g., roommates, siblings) 11% 67 A)Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) B)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
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 type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below.
Type of Household Percent of U.S.
Households Observed Number
of Households in
the Community
Married with children 26% 100
Married, no children 29% 121
Single parent 9% 35
One person 25% 88
Other (e.g., roommates, siblings) 11% 67
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