Answer:
The correct option is (a).
Step-by-step explanation:
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the difference between the mean number of pets who were not spayed/neutered from that of those who were spayed/neutered is,
<em>CI</em> = (-2.77, -0.42).
The number of pets who were not spayed/neutered is labelled as Group 1.
The number of pets who were spayed/neutered is labelled as Group 2.
The parameter under study is:
<em>μ</em>₁ - <em>μ</em>₂
The 95% confidence interval for the difference of means implies that there is a 95% confidence that the population mean number of pets owned by people that did not spayed/neutered their pet was between 0.42 to 2.77 pets less than those who did spay or neuter their pet.
Thus, the correct option is (a).