Question

Suppose studies suggest that 51% of pets are overweight with 21% considered obese. Consider a vet who sees 45 random pets in the course of a day.

Step 1 of 2: Describe the sampling distribution of the sample proportion of pets who are overweight if we use the pets that are seen in a single day as a random sample. Be sure to include all rationales.

Step 2 of 2: Describe the sampling distribution of the sample proportion of pets who are obese if we use the pets that are seen in a 5 day week as a random sample. Be sure to include all rationales.

Answer 1

SOLUTION:

From given data,

Suppose studies suggest that 51% of pets are overweight with 21% considered obese. Consider a vet who sees 45 random pets in the course of a day.

Given that,

= 0.51

q = 1-p = 1-0.51 = 0.49

n = 45

Step 1 of 2: Describe the sampling distribution of the sample proportion of pets who are overweight if we use the pets that are seen in a single day as a random sample. Be sure to include all rationales.

Let ,

=

=

=

= 0.0745

Step 2 of 2: Describe the sampling distribution of the sample proportion of pets who are obese if we use the pets that are seen in a 5 day week as a random sample. Be sure to include all rationales.

= P = 0.51

n*p = 0.51*45 = 22.95 > 5

n*q = 45 * 0.49 = 22.05 > 5

Both are satisfied