Question

Bell offers a student bundle for phone and internet services. Canada wide 39% of Bell customers are "bundlers" and get the deal. If the same proportion holds at A University and you take a sample of 1331 students, what is the standard deviation of the proportion of Students who would sign up to get the deal?

Answer 1

The standard deviation of the proportion of students who would sign up for the Bell bundle deal at A University is approximately 0.0134.

Step-by-step explanation:

To calculate the standard deviation of the proportion of students who would sign up for the Bell phone and internet services deal, we need to use the formula for the standard deviation of a sample proportion:

σ_p = √[p(1-p)/n]

Where:

• p is the proportion of Bell customers who are 'bundlers'
• n is the sample size

In this case:

• p = 39% or 0.39
• n = 1331

Plugging these values into the formula gives us:

σ_p = √[0.39(1-0.39)/1331]

Calculating further:

σ_p = √[0.39(0.61)/1331]

σ_p = √[0.2379/1331]

σ_p = √[0.000178761]

σ_p ≈ 0.0134 (rounded to four decimal places)

Therefore, the standard deviation of the proportion of students who would sign up for the deal at A University is approximately 0.0134.