In a random sample of males, it was found that 21 write with their left hands and 224 do not. In a random sample of females, it was found that 67 write with left hands and 448 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females Complete parts (a) through (c) below OF. H P1 P2 H P P2 D. Ho P1 P2 OE. Ho Pt SP2 H Pi P2 H, Pr P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V evidence to support the claim the significance level of a = 0.01, so the null hypothesis. There The P-value is that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P -P2)

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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. 

Tree diagram

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.