14 You are the manager of a political campaign. You think that the population proportion of voters who will vote for your candidate is 0.50 (use this for a planning value). Your candidate wants to know what proportion of the population will vote for her. Your candidate wants to know this with a margin-of-error of ± 0.01 (at 95% confidence). How big of a sample of voters should you take? a 10192 b 9992 c 9796 d 9604 15 Your candidate changes her mind and now wants a margin-of-error of ± 0.03 (but still 95% confidence). Which of the following options would you follow? a Select a smaller sample b Select a larger sample c Use the same sample, but adjust the standard error. d the margin-of-error does not have anything to do with the sample size
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.
| 14 | You are the manager of a political campaign. You think that the population proportion of voters who will vote for your candidate is 0.50 (use this for a planning value). Your candidate wants to know what proportion of the population will vote for her. Your candidate wants to know this with a margin-of-error of ± 0.01 (at 95% confidence). How big of a sample of voters should you take? | |||||||||
| a | 10192 | |||||||||
| b | 9992 | |||||||||
| c | 9796 | |||||||||
| d | 9604 | |||||||||
| 15 | Your candidate changes her mind and now wants a margin-of-error of ± 0.03 (but still 95% confidence). Which of the following options would you follow? | |||||||||
| a | Select a smaller sample | |||||||||
| b | Select a larger sample | |||||||||
| c | Use the same sample, but adjust the standard error. | |||||||||
| d | the margin-of-error does not have anything to do with the sample size |
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