Students are required to answer all 4 questions based on the following Case Scenario The world is currently being adversely affected by the COFLU-20 pandemic. Persons are required totake certain measures to prevent the spread of this virus; however, persons’ knowledge, attitudes andpractices towards COFLU-20 may influence their adherence to these measures.A researcher decided to evaluate the knowledge, attitudes and practices towards COFLU-20 ofadults living in the English-speaking Caribbean. To gather the data, the researcher developed anonline survey consisting of four (4) sections. Section A gathered demographic data on therespondents including their gender, marital status, highest level of education attained, occupationand country of residence. Section B consisted of 15 questions that gathered data on the respondents’knowledge of COFLU-20. Section C consisted of 10 questions that gathered data on therespondents’ attitudes towards COFLU-20. The final section, Section D, consisted of 5 questionsthat gathered information on the respondents’ practices against COFLU-20.In order to recruit respondents for this survey, the researcher sent a link to the online survey topersons in his network via email and social media. After receiving 300 responses, the researcherclosed down the online survey and deactivated the link to the survey.You are a student pursuing an introductory Statistics course. The researcher has asked that you assisthim in summarizing, analyzing and interpreting the information gathered, by answering thequestions below. QUESTION 1(a) (i) Identify the population of interest for this scenario. (ii) Identify the sampling technique used by the researcher. (iii) State one advantage and one disadvantage of the sampling technique described in the givenscenario. Table below summaries the age group of the 300 respondents.Table 1Age Group Number of Respondents18-25 6226-34 6035-44 5545-54 7055 - 75 53(b) Use the data given in Table 1 to:(i) calculate the mean age of the respondents (ii) identify the modal interval and interpret your answer (iii) identify the median interval
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.
Students are required to answer all 4 questions based on the following Case Scenario
The world is currently being adversely affected by the COFLU-20 pandemic. Persons are required to
take certain measures to prevent the spread of this virus; however, persons’ knowledge, attitudes and
practices towards COFLU-20 may influence their adherence to these measures.
A researcher decided to evaluate the knowledge, attitudes and practices towards COFLU-20 of
adults living in the English-speaking Caribbean. To gather the data, the researcher developed an
online survey consisting of four (4) sections. Section A gathered demographic data on the
respondents including their gender, marital status, highest level of education attained, occupation
and country of residence. Section B consisted of 15 questions that gathered data on the respondents’
knowledge of COFLU-20. Section C consisted of 10 questions that gathered data on the
respondents’ attitudes towards COFLU-20. The final section, Section D, consisted of 5 questions
that gathered information on the respondents’ practices against COFLU-20.
In order to recruit respondents for this survey, the researcher sent a link to the online survey to
persons in his network via email and social media. After receiving 300 responses, the researcher
closed down the online survey and deactivated the link to the survey.
You are a student pursuing an introductory Statistics course. The researcher has asked that you assist
him in summarizing, analyzing and interpreting the information gathered, by answering the
questions below.
QUESTION 1
(a) (i) Identify the population of interest for this scenario.
(ii) Identify the sampling technique used by the researcher.
(iii) State one advantage and one disadvantage of the sampling technique described in the given
scenario.
Table below summaries the age group of the 300 respondents.
Table 1
Age Group Number of Respondents
18-25 62
26-34 60
35-44 55
45-54 70
55 - 75 53
(b) Use the data given in Table 1 to:
(i) calculate the mean age of the respondents
(ii) identify the modal interval and interpret your answer
(iii) identify the median interval
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