A market analyst has estimated that 10% of American citizens who wear glasses or contact le purchase their eyewear through their personal optometrist, whereas the other 90% either do have apersonal optometrist or have one but don't purchase eyewear through them. A random is conducted, and 900 people are asked where they purchase their eyewear. One hundred an three of these people declare that they purchase their eyewear from their optometrist. Is the analyst's estimation valid at the 0.05 level of significance? 1. Null hypothesis: p = 0.10 2. Alternative hypothesis: p no.t equal 0.01 3. Test Statistic: [Select] 4. p- value: [ Select ] 5. Conclusion: [ Select ] 6. Summary statement: [ Select ]
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 market analyst has estimated that 10% of American citizens who wear glasses or contact lenses
purchase their eyewear through their personal optometrist, whereas the other 90% either don't
have apersonal optometrist or have one but don't purchase eyewear through them. A random poll
is conducted, and 900 people are asked where they purchase their eyewear. One hundred and
three of these people declare that they purchase their eyewear from their optometrist. Is the
analyst's estimation valid at the 0.05 level of significance?
1. Null hypothesis: p = 0.10
2. Alternative hypothesis: p no.t equal 0.01
3. Test Statistic: [Select ]
4. p- value: [ Select ]
5. Conclusion:
[ Select ]
6. Summary statement:
[Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e7848f1-a2d6-4139-90c6-0b4560f9a4e8%2F7812cf12-7e2a-4b0c-a9fd-29df88aadcd7%2Fov0nwkjj_processed.jpeg&w=3840&q=75)
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