Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. What is the p-value? Using a .05 level of significance, what is your conclusion? What are the sample proportions for each of the four countries? Which country has the largest proportion of adults using social media? Using a .05 level of significance, conduct multiple pairwise comparison tests among the four countries. What is your conclusion?
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.
Use of Social Media. Social media is becoming more and more popular around the world. Statista provides estimates of the number of social media users in various countries in 2017 as well as the projections for 2022. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows.
|
Country |
||||
|---|---|---|---|---|
|
Use Social Media |
United Kingdom |
China |
Russia |
United States |
|
Yes |
480 |
215 |
343 |
640 |
|
No |
320 |
285 |
357 |
360 |
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Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. What is the p-value? Using a .05 level of significance, what is your conclusion?
-
What are the sample proportions for each of the four countries? Which country has the largest proportion of adults using social media?
-
Using a .05 level of significance, conduct multiple pairwise comparison tests among the four countries. What is your conclusion?
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