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23 June, 16:02

Consider a class with 100 enrolled students. None of the students were ill at the beginning of the school year. On September 30, a total of five students reported having gastroenteritis. All continued to be ill on October 1 but all five recovered in 3 days. On October 14, another three students developed gastroenteritis. All of these students continued to be ill on October 15, but all three recovered 5 days later. In this example, assume that a person cannot get gastroenteritis more than once.

A. Calculate the pre-valence of gastroenteritis in the class on October 1.

B. Calculate the pre-valence of gastroenteritis in the class on October 30.

C. Calculate the cumulative incidence of gastroenteritis in the class during the month of October.

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  1. 23 June, 16:47
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    A. Calculate the prevalence of gastroenteritis in the class on October 1.

    5%

    B. Calculate the prevalence of gastroenteritis in the class on October 30.

    0%

    C. Calculate the cumulative incidence of gastroenteritis in the class during the month of October.

    3.16%

    Step-by-step explanation:

    Prevalence is calculated using the following formula:

    (number of sick people / total number of people measured) x 100%

    October 1 = (5 / 100) x 100% = 5%

    October 30 = (0 / 100) x 100% = 0%

    Cumulative = [3 / (100 - who got sick on September) ] x 100% = (3/95) x 100% = 3.16%

    Since 5 students got sick during September, they cannot be included in the cumulative statistics for October. This means that the cumulative denominator will be 95, not 100.
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