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3. Two website designs were tested on a website to see which would convert more users to register for a webinar. Out of 1 10

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3. Two website designs were tested on a website to see which would convert more users to register for a webinar. Out of 1 10 users of Design A, 15 registered for the webinar. Out of 90 Design B users, 8 registered for the webinar. At a = 0.10, is there enough evidence to conclude that the conversion proportion for Design A is higher than the conversion for Design B? Use the p-value method.4. In a test of two expense-reporting applications, 26 users worked (in random order) with two web applications (A and B). They performed several tasks on both systems and then completed a 10-item SUS questionnaire. The results are summarized in the following table. User A B 1 77.5 60 2 90 52.5 3 80 45 4 77.5 20 5 100 6 95 42.5 7 82.5 32.5 97.5 80 9 80 52.5 10 87.5 60 11 77.5 42.5 12 87.5 87.5 13 82.5 52.5 14 50 10 15 77.5 67.5 16 82.5 40 17 80 57.5 18 65 32.5 19 72.5 67.5 20 85 47.5 21 80 45 22 100 62.5 23 80 40 24 57.5 45 25 97.5 65 26 95 72.5 A. Construct a 90% confidence interval for the difference in SUS score between the two applications. B. At a = 0.05, is there enough evidence to conclude that mean SUS score for Application A is higher than that for Application B

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