Automobile Ownership A study was done on the type of automobiles owned by women and men. The data are shown. At α=0.01, is there a relationship between the type of automobile owned and the gender of the individual? Use the critical value method with tables. Luxury Large Midsize Small Men 10 17 19 23 Women 41 33 29 28 State the hypotheses and identify the claim. H0: The type of automobile is ▼(Choose one) the gender of the owner. ▼(Choose one) H1: The type of automobile is ▼(Choose one) the gender of the owner. ▼(Choose one) Find the critical value. Round the answer to at least three decimal places. Critical value = Compute the test value. Round the intermediate and final answers to at least three decimal places. χ2 = Make the decision. ▼(Choose one) the null hypothesis. Summarize the results. There is ▼(Choose one) that the type of automobile is dependent on the gender of the owner.
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.
Automobile Ownership A study was done on the type of automobiles owned by women and men. The data are shown. At
| Luxury | Large | Midsize | Small | |
|---|---|---|---|---|
| Men |
10
|
17
|
19
|
23
|
| Women |
41
|
33
|
29
|
28
|
State the hypotheses and identify the claim.
|
H0: The type of automobile is ▼(Choose one) the gender of the owner. ▼(Choose one)
H1: The type of automobile is ▼(Choose one) the gender of the owner. ▼(Choose one) |
|
Find the critical value. Round the answer to at least three decimal places.
|
Compute the test value. Round the intermediate and final answers to at least three decimal places.
|
Make the decision.
|
▼(Choose one) the null hypothesis.
|
|
Summarize the results.
|
There is ▼(Choose one) that the type of automobile is dependent on the gender of the owner.
|
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