Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 418 of the 690 Republicans surveyed display the flag on the Fourth of July and 473 of the 710 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the a = of significance? 0.05 level For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answerv Select an answerv Select an answerv (please enter a decimal) H: Select an answerv Select an answerv Select an answerv (Please enter a decimal) b. The test statistic ?v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) %3D d. The p-value is ?♥ a e. Based on this, we should Select an answerv the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the proportion of the 690 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 710 Democrats who displayed the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at a = 0.05, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. %3D g. Interpret the p-value in the context of the study. O If the percent of all Republicans who disnlay the Amorican fla
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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