Н : u is ? ? What are the null and alternative hypotheses that the researcher should use for the test? Н. : и is 1 ? ? What is the probability that the researcher commits a Type I error? Round your response to at least two decimal places. Assuming that the actual value of u is 139 mm Hg, what is the probability that the researcher accepts the null hypothesis? Round your response to at least two decimal places. The power of the second test is greater than the power of the original test Suppose that the researcher decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test the researcher uses a The power of the second test is less than the power of the original test significance level of 0.1 instead of a significance level of 0.01. Assuming that the actual value of u is 139 mm Hg, how does the power of this second test compare to the power of the original test? The powers of the two tests are equal
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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