Question

A vaccination is available to protect people against cholera when traveling. 2663 adults were asked whether they had the vaccination. In the sample, 11 of the 1033 travelers who did not have the vaccination and 5 of the 1630 travelers who had the vaccination got cholera. A vaccination is to protect people against cholera, so we expect it to lower one's chance of getting cholera. We would like to determine the difference in proportion of people who got cholera between those who did not have the vaccination (pₙ) and those who had (pₑ ). Give the notation and then calculate the sample statistic which is used in creating the randomization distribution.

Answer 1

The sample statistic used in creating the randomization distribution is the difference in sample proportions.

Step-by-step explanation:

The sample statistic used in creating the randomization distribution to determine the difference in proportion of people who got cholera between those who did not have the vaccination (pₙ) and those who had (pₑ) is the difference in sample proportions. To calculate the difference in sample proportions, we subtract the proportion of travelers who got cholera without the vaccination (11/1033) from the proportion of travelers who got cholera with the vaccination (5/1630).

So, the sample statistic is:

pₑ - pₙ = (5/1630) - (11/1033)