Are blonde female college students more likely to have boyfriends than brunette female college students? 219 of the 350 blondes surveyed had boyfriends and 220 of the 400 brunettes surveyed had boyfriends. What can be concluded at the 0.05 level of significance? H0: PBlonde = PBrunette Ha: PBlonde [ Select ] ["Not Equal To", ">", "<"] PBrunette Test statistic: [ Select ] ["Z", "T"] p-Value = [ Select ] ["0.04", "0.16", "0.08", "0.02"] [ Select ] ["Reject Ho", "Fail to Reject Ho"] Conclusion: There is [ Select ] ["insufficient", "statistically significant"] evidence to make the conclusion that blonde female college students are more likely to have boyfriends than brunette female college students. p-Value Interpretation: If there is no difference between the proportion of blonde and brunette female college students who have boyfriends and if another study was done with a new randomly selected collection of 350 blonde college students and 400 brunette college students, then there is a [ Select ] ["16", "4", "8", "2"] percent chance that blonde college students are at least [ Select ] ["8", "2", "16", "4"] percent more likely to have boyfriends than brunette college students. Level of significance interpretation: If there is no difference between the proportion of blonde and brunette female college students who have boyfriends and if another study was done with 350 blonde college students and 400 brunette college students then there would be a [ Select ] ["8", "5", "2", "4"] percent chance that this new study would result in the false conclusion that blonde college students are more likely to have boyfriends than brunette college students.
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.
Are blonde female college students more likely to have boyfriends than brunette female college students? 219 of the 350 blondes surveyed had boyfriends and 220 of the 400 brunettes surveyed had boyfriends. What can be concluded at the 0.05 level of significance?
H0: PBlonde = PBrunette
Ha: PBlonde [ Select ] ["Not Equal To", ">", "<"] PBrunette
Test statistic: [ Select ] ["Z", "T"]
p-Value = [ Select ] ["0.04", "0.16", "0.08", "0.02"]
[ Select ] ["Reject Ho", "Fail to Reject Ho"]
Conclusion: There is [ Select ] ["insufficient", "statistically significant"] evidence to make the conclusion that blonde female college students are more likely to have boyfriends than brunette female college students.
p-Value Interpretation: If there is no difference between the proportion of blonde and brunette female college students who have boyfriends and if another study was done with a new randomly selected collection of 350 blonde college students and 400 brunette college students, then there is a [ Select ] ["16", "4", "8", "2"] percent chance that blonde college students are at least [ Select ] ["8", "2", "16", "4"] percent more likely to have boyfriends than brunette college students.
Level of significance interpretation: If there is no difference between the proportion of blonde and brunette female college students who have boyfriends and if another study was done with 350 blonde college students and 400 brunette college students then there would be a [ Select ] ["8", "5", "2", "4"] percent chance that this new study would result in the false conclusion that blonde college students are more likely to have boyfriends than brunette college students.
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