13.72 Refer to Exercise 13.71. Researchers also want to compare the average numb
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13.72 Refer to Exercise 13.71. Researchers also want to compare the average number of visits made by adults who fear going to the dentist with the average number of visits for those who don’t have the fear.
a. What two variables would they need to measure for each individual? For each variable, state whether it is categorical or quantitative.
b. Which of the five parameters given in Table 13.3 (p. 538) is or are appropriate for this situation? Give the parameter(s) in symbols, and define what the symbol(s) represent in the context of the situation.
c. Explain whether a confidence interval, a hypothesis test, or both would be more appropriate.
Reference:
(13.71) Researchers want to know what percentage of adults have a fear of going to the dentist. They also want to know the average number of visits made to a dentist in the past 10 years for adults who have that fear. They ask a random sample of adults whether or not they fear going to the dentist and also how many times they have gone in the past 10 years.
a. What two variables were measured for each individual? For each variable, state whether it is categorical or quantitative.
b. Which of the five parameters given in Table 13.3 (p. 538) is or are appropriate for this situation? Give the parameter(s) in symbols, and define what the symbol(s) represent in the context of the situation.
c. Explain whether a confidence interval, a hypothesis test, or both would be more appropriate.
Table 13.3 Parameters and Types of Data Used for Inferences aboutThem One Sample Paired Two Independent Variable Type (Parameter Type) (No Pairing) Data Samples Categorical None pm p2 (Proportions) Quantitative (Means)Explanation / Answer
a. First variable is number of visits made to dentist. This is quantitative discrete variable.
Second variable is Fear which is categorical with two values 1=fear going to dentist and 2= do not have fear going to dentist.
b. The parameter appropriate for this situation is µ1-µ2 where µ1 is the true average number of visits made to dentist by adults who fear going to the dentist and µ2 is the true average number of visits made to dentist by adults who don’t fear going to the dentist.
c. Confidence interval of difference in means or independent sample hypothesis test both would be appropriate. In case of confidence interval if confidence interval contains zero, we do not reject the null hypothesis, otherwise reject.
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