Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.050.05 level of significance to test the claim that home/visitor wins are independent of the sport. TI-83/84 PLUS chi squared minus Testχ2−Test chi squared equals 4.778595182χ2=4.778595182 Upper P equals 0.1887461660P=0.1887461660 df equals 3df=3 BasketballBasketball Baseball Hockey Football Home team winsHome team wins 116116 5656 4747 5353 Visiting team winsVisiting team wins 7272 5656 4343 3838 ▼ Reject Fail to reject the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage ▼ does does not depend on the sport. This really hard to put all of it in here, are you able to decipher it this way please? thank you
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a
0.050.05
level of significance to test the claim that home/visitor wins are independent of the sport. |
TI-83/84 PLUS
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chi squared minus Testχ2−Test
chi squared equals 4.778595182χ2=4.778595182
Upper P equals 0.1887461660P=0.1887461660
df equals 3df=3
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BasketballBasketball
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Baseball
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Hockey
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Football
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Home team winsHome team wins
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116116
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5656
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4747
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5353
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Visiting team winsVisiting team wins
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7272
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5656
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4343
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3838
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