Question

1. a person logs the number of cups of coffee consumed each day during the week. what is the sample proportion of days when they drink more than two cups?

day	cups of coffee	time of day
monday	1	morning
tuesday	3	morning
wednesday	2	afternoon
thursday	4	morning
friday	1	afternoon
saturday	3	morning
sunday	2	morning

a. 0.29
b. 0.71
c. 0.43
d. 0.57

Explanation:

Step1: Count days with > 2 cups

Count the number of days when the number of cups of coffee is more than 2. Tuesday (3 cups), Thursday (4 cups), Saturday (3 cups). So there are 3 days.

Step2: Calculate sample proportion

The total number of days in a week is 7. The sample proportion $p=\frac{\text{Number of favorable days}}{\text{Total number of days}}=\frac{3}{7}\approx0.43$.

Answer:

c. 0.43