2. A journal published a study of the "tip-of-the-tognue" phenomenon, trying to think of a word that you know, but can't instantly retrieve, in senior citizens. The researchers compared 50 people between 60 and 72 years of age with 50 between 73 and 83 years of age. When primed with the initial syllable of a missing word, the younger seniors had a higher recall rate. Suppose 33 of the 50 seniors in the younger group could recall the word when primed with the initial syllable, while only 22 of the 50 seniors in the older group could recall the word. Compare the recall rates of the two groups, using a = 0.05. Does one group of elderly people have a significantly higher recall rate than the other? (a) Let pi represent the recall rate of the younger group (60-72 years of age) and p2 represent the recall rate of the older group (73-83 years of age). Give the null and alternative hypotheses. Ho: Ha: (b) The test statistic = (round to four decimal places as needed) (c) The p-valuep= (round to four decimal places as needed) You should find one of the following useful for part c: P(: > 2.2111) = 0.0135 P(z > 2.2672) 0.0117 P(z > 2.2) = 0.0139 P(2 > 1.6036) 0.0544 (d) State your conclusion.
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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