Math  /  Data & Statistics

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Customers who participate in a store's free loyalty card program save money on their purchases, but allow the store to keep track of the customer's shopping habits and potentially sell these data to third parties. A survey revealed that 221 of a random sample of 250 adults in a certain country would agree to participate in a store loyalty card program, despite the potential for information sharing. Let p represent the true proportion of all customers who would participate in a store loyalty card program. Complete parts a through g below. a. Compute a point estimate of pp.
The estimate is \square . (Type an integer or a decimal. Do not round.)

Studdy Solution

STEP 1

1. The sample size is 250 adults.
2. Out of the sample, 221 adults agreed to participate in the loyalty card program.
3. The point estimate of p p is the sample proportion of adults who would participate.

STEP 2

1. Calculate the sample proportion as the point estimate of p p .

STEP 3

Calculate the sample proportion, which is the number of adults who agreed to participate divided by the total number of adults in the sample:
p^=221250 \hat{p} = \frac{221}{250}

STEP 4

Perform the division to find the point estimate:
p^=221250=0.884 \hat{p} = \frac{221}{250} = 0.884
The point estimate of p p is:
0.884 \boxed{0.884}

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