Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on 28% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use the z-table. a. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month? b. Let p indicate the sample proportion of book adoptions obtained during the month. Show the sampling distribution of p. The sampling distribution - Select your answer - normal because np and n(1 - p) are both - Select your answer - v 5.
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.
 for calculations.
**Questions:**
a. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?
*Sample Size:* [Input Field]
b. Let \( \hat{p} \) indicate the sample proportion of book adoptions obtained during the month. Show the sampling distribution of \( \hat{p} \).
The sampling distribution is [Select your answer] normal because \( np \) and \( n(1-p) \) are both [Select your answer] \(\geq 5\).
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Note: The options for "Select your answer" are likely referring to dropdown or selection choices that the user is intended to fill based on calculations or theoretical knowledge from the z-table or other statistical information provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe921cdaf-b21f-48c0-8149-9a313e85e298%2F0d08d029-8520-467e-b069-ac3fca2926d7%2Fgz1sues_processed.jpeg&w=3840&q=75)
![c. Using the sampling distribution of \( \bar{p} \), compute the probability that Lori will obtain book adoptions on 33% or more of her sales calls during a one-month period.
[ ] (to 4 decimals)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe921cdaf-b21f-48c0-8149-9a313e85e298%2F0d08d029-8520-467e-b069-ac3fca2926d7%2Fa92h8ge_processed.jpeg&w=3840&q=75)
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