Question

Question is attached below please leave answers as percentages

Answer 1

1) 46%

2) 0.07

3) 0.1148

4) 0.1372

Explanation:

Total number of patients = 50

Total number of dogs = 7 + 4 + 5 + 5 + 2 = 23

Part 1)

The percentage of patients that were dogs =
`(23)/(50) * 100 \% = 46\%`

Thus, 46% of the patients were dogs.

So,

p =46% = 0.46

Part 2)

p = 0.46

n = 50

Using the values in the given formula, we get:

`S.E=\sqrt{(0.46(1-0.46))/(50) }\\\\ S.E=0.07`

Thus, the standard error is 0.07

Part 3)

Z-value for 90% confidence interval is 1.64. This value is found using z-table or can be found using online calculators.

Margin of error = z-value x S.E

Using the values, we can write:

Margin of error = 1.64 x 0.07

Margin of error = 0.1148

Thus margin of error for 90% confidence interval is 0.1148

Part 4)

Z-value for 95% confidence interval is 1.96

Margin of error = z-value x S.E

Using the values, we can write:

Margin of error = 1.96 x 0.07

Margin of error= 0.1372

Thus margin of error for 95% confidence interval is 0.1372