A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects randam cities in the state that vated the senator in and campares the appraval ratings befare the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distribuced. What type of test is this hypothesis test? Select the correct answer below: O This is a left tailed test because the alternative hypothesis is H, : K < 0. O This is a left-tailed test because the alternative hypothesis is 1, : Ke > 0. O This is a two-taileci test because the alternative hypothesis is H. : µs #0. O This is a right tailed test because the alternative hypothesis is H, : Hs > 0. This is a right-tailed test because the alternative hypothesis is H, : me < 0.
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.
![A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this
claim, he selects randam cities in the state that vated the senator in and campares the appraval ratings before the decisian
to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each
difference is calculated by subtracting the percent approval rating before the decision from the percent approval racing after
the decision. Assume that the percentages are normally distribuced. What type of test is this hypothesis test?
Select Ihe correct answer below:
O This is a left tailed test because the alternative hypothesis is R, : H < 0.
O This is a left-tailed test because the alternative hypothesis is H, : M > 0.
This is a two-tailed test because the alternative hypothesis is H, : p, # 0.
O This is a right-tailed test because the alternative hypothesis is H, : > 0.
This is a right-tailed test because the alternative hypothesis is H, : <0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae8790bf-c6ec-41d7-bd07-70d70dc4d0b7%2F16321704-5a6d-481f-9ac2-577b2864fd07%2Fc4nh147_processed.png&w=3840&q=75)
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