A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi- square table or F table) Sex of Automobile Buyer Male Color Female Silver 477 298 Black 536 308 Red 482 348
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.
![b-2. Find the p-value.
O 0.025 s p-value < 0.05
O 0.05 s p-value < 0.10
O 0.01 s p-value < 0.025
O p-value < 0.01
O p-value 2 010
c-1. At the 10% significance level, what is your conclusion?
O Do not reject Hg. we can conclude that color preference is dependent on the automobile buyer's sex.
O Do not reject Hg. we cannot conclude that color preference is dependent on the automobile buyer's sex.
O Reject Ha, we cannot conclude that color preference is dependent on the automobile buyer's sex.
O Reject He, we can conclude that color preference is dependent on the automobile buyer's sex.
c-2. Does your conclusion suggest that the company should target advertisements differently for males versus females?
O No
O Yes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9141896-001f-4e78-8572-207ee29bce3c%2Fd22ad5a5-b4bb-46e3-8abc-13aa1a6e6a9e%2Foo0u85a_processed.jpeg&w=3840&q=75)
![A market researcher for an automobile company suspects differences in preferred color between male and female buyers.
Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most
recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi-
square table or F table)
Sex of Automobile Buyer.
Color
Male
Female
Silver
477
298
Black
536
308
Red
482
348](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9141896-001f-4e78-8572-207ee29bce3c%2Fd22ad5a5-b4bb-46e3-8abc-13aa1a6e6a9e%2F3lwqap6_processed.jpeg&w=3840&q=75)
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