Question

In: Statistics and Probability

The results of a recent poll on the preference of shoppers regarding two products are shown...

The results of a recent poll on the preference of shoppers regarding two products are shown below:

Product Shoppers Favoring this Product Shoppers Surveyed
1 550 750
2 615 875

Suppose we wanted to see if there was a significant difference in the preference of these two products.

What would be the correct alternative hypothesis for the above test?                            [ Select ]                       ["p1 is not equal to p2", "p1 < p2", "p1 > p2", "p1 = p2"]      

Find the correct pooled proportion.                            [ Select ]                       ["1345.68", "0.7650", "0.6894", "0.7676", "0.0647", "1426.87"]      

What would be the correct test statistic?                            [ Select ]                       ["3.0129", "0.8895", "5.1931", "3.0249"]      

What would be the corresponding critical value, assuming alpha was 1%?                            [ Select ]                       ["2.5758", "-2.3263", "+/- 2.5758", "+/- 2.3263", "2.3263", "-2.5758"]      

What would be the corresponding p-value?                            [ Select ]                       ["0.0026", "0.0024", "0.0013", "0.1869", "0.0012", "0"]      

At a 1% significance level, can we conclude that there is a significant difference in the preference of the two products?                            [ Select ]                       ["We cannot.", "We can."]      

Solutions

Expert Solution

Given:

The results of a recent poll on the preference of shoppers regarding two products are shown below:

Product Shoppers Favoring this Product Shoppers Surveyed
1 550 750
2 615 875

Fail to reject Ho.

We can not we conclude that there is a significant difference in the preference of the two products.

orchestra answered 1 year ago
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