Question 2 In the spring of 2014, the U.S. Congress considered a bill that would prevent Americans from suing fast-food giants like McDonald's for making them overweight. Although the fast-food industry may not be to blame, a study by Children's Hospital in Boston reports that about two-thirds of adult Americans and at least 18% of children are overweight. To test this claim, a random sample of 100 children is selected, and 16 of them are found to be overweight. Is there sufficient evidence to indicate that the percentage reported by Children's Hospital is incorrect? Test at a=0.01 level. a)Step 1: State the null and alternative hypotheses. b)Step 2: Write down the appropriate test statistics (formula) but first check assumptions. c)Step 3: Write down the rejection region of your test. d)Step 4: Compute the value of the test statistic
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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