A group of students were surveyed as to whether or not they had to complete chores at home at least once a week and whether they had a curfew. Results are summarized in the contingency table below. Test to see if chores at home is dependent having a curfew. Test at the 1% level and round expected values to one decimal place. Curfew Curfew (Observed) Curfew (Expected Value) No Curfew (Observed) No Curfew (Expected Value) Row Total Chores 8 15 23 No Chores 14 12 26 Column Total 22 27 49 H: Hypotheses Ho:Ho:Select an answer Chores work home Curfew and Select an answer Curfew work home No Curfew are Select an answer independent dependent Ha:Ha:Select an answer Chores work home Curfew and Select an answer Curfew work home No Curfew are Select an answer independent dependent Original Claim: Select an answer H₀ H₁ Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.) X2Χ2( ,) = Test Statistic χ2χ2 = (Round to three decimal places.) P-value = (Round to four decimal places.) Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ . Conclusion: There Select an answer is is not significant evidence to conclude that Select an answer Chores work home Curfew and Select an answer Curfew work home No Curfew are Select an answer independent dependent .
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.
Chores and Curfew:
A group of students were surveyed as to whether or not they had to complete chores at home at least once a week and whether they had a curfew. Results are summarized in the
| Curfew | Curfew (Observed) | Curfew (Expected Value) | No Curfew (Observed) | No Curfew (Expected Value) | Row Total |
| Chores | 8 | 15 | 23 | ||
| No Chores | 14 | 12 | 26 | ||
| Column Total | 22 | 27 | 49 |
H: Hypotheses
Ho:Ho:Select an answer Chores work home Curfew and Select an answer Curfew work home No Curfew are Select an answer independent dependent
Ha:Ha:Select an answer Chores work home Curfew and Select an answer Curfew work home No Curfew are Select an answer independent dependent
Original Claim: Select an answer H₀ H₁
Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)
Test Statistic χ2χ2 = (Round to three decimal places.)
P-value = (Round to four decimal places.)
Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ .
Conclusion:
There Select an answer is is not significant evidence to conclude that Select an answer Chores work home Curfew and Select an answer Curfew work home No Curfew are Select an answer independent dependent .
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