IN MAY OF 2000, AN ARTICLE IN A JOURNAL REPORTS THAT 35% OF AMERICAN FATHERS RELY ON THEIR SPOUSE OR THE MOTHER OF THEIR CHILDREN TO RESEARCH HEALTHCARE OPTIONS FOR THIER FAMILY. A RESEARCHER CLAIMS THAT THE FIGURE IS RISEN OVER RECENT YEARS. A RANDOM SAMPLE PF 734 FATHERS YEILDED 285 WHO DID NOT PARTICIPATE IN HEALTHCARE RESEARCH FOR THIER CHILDEREN. TEST THE RESEARCHERS CLAIM AT THE 0.05 SIGNIFICANCE LEVEL. IDENTIFY THE POINT ESTIMATE, NULL HYPOTHESIS, ALTERNATIVE HYPOTHESIS, CRITICAL VALUE, TEST STATISTIC, P-VALUE, DRAW THE Z DISTRIBUTION, DECISION ABOUT THE NULL HYPOTHESIS, AND FINAL CONCLUSION THAT ADDRESSES THE ORIGINAL CLAIM. CREATE THE 90% CONFIDENCE INTERVAL THAT CONTAINS THE TRUE POPULATION PROPORTION. EXPLAIN HOW THE CI SUPPORTS YOUR DECISION ABOUT THE NULL HYPOTHESIS?
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.
IN MAY OF 2000, AN ARTICLE IN A JOURNAL REPORTS THAT 35% OF AMERICAN FATHERS RELY ON THEIR SPOUSE OR THE MOTHER OF THEIR CHILDREN TO RESEARCH HEALTHCARE OPTIONS FOR THIER FAMILY. A RESEARCHER CLAIMS THAT THE FIGURE IS RISEN OVER RECENT YEARS. A RANDOM SAMPLE PF 734 FATHERS YEILDED 285 WHO DID NOT PARTICIPATE IN HEALTHCARE RESEARCH FOR THIER CHILDEREN. TEST THE RESEARCHERS CLAIM AT THE 0.05 SIGNIFICANCE LEVEL. IDENTIFY THE POINT ESTIMATE, NULL HYPOTHESIS, ALTERNATIVE HYPOTHESIS, CRITICAL VALUE, TEST STATISTIC, P-VALUE, DRAW THE Z DISTRIBUTION, DECISION ABOUT THE NULL HYPOTHESIS, AND FINAL CONCLUSION THAT ADDRESSES THE ORIGINAL CLAIM. CREATE THE 90% CONFIDENCE INTERVAL THAT CONTAINS THE TRUE POPULATION PROPORTION. EXPLAIN HOW THE CI SUPPORTS YOUR DECISION ABOUT THE NULL HYPOTHESIS?
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