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In: Statistics and Probability

8. A survey of 300 Canadian online shoppers was conducted. In response to the question of...

8. A survey of 300 Canadian online shoppers was conducted. In response to the question of what would influence the shopper to spend more money online in 2012, 18% said free shipping, 13% said offering discounts while shopping, and 9% said product reviews. Construct a 95% confidence interval estimate of the population proportion of online shoppers who would be influenced to spend more money online in 2012 with:

a. Free shipping.

b. Discounts offered while shopping.

c. Product reviews

Solutions

Expert Solution

Solution:

a. The 95% confidence interval for free shipping is:

Where:

is the critical value at the 0.05 significance level.

  

  

Therefore, the 95% confidence interval estimate of the population proportion of online shoppers who would be influenced to spend more money online in 2012 with free shipping is   

b. The 95% confidence interval for Discounts offered while shopping is:

Where:

is the critical value at the 0.05 significance level.

  

  

Therefore, the 95% confidence interval estimate of the population proportion of online shoppers who would be influenced to spend more money online in 2012 with Discounts offered while shopping is   

c. The 95% confidence interval for a product review  is:

Where:

is the critical value at the 0.05 significance level.

  

  

Therefore, the 95% confidence interval estimate of the population proportion of online shoppers who would be influenced to spend more money online in 2012 with a product review is   

orchestra answered 2 years ago
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