Bumble has three different smartphone calculator applications, A, B, and C, and wonders if they differ in usability. To test this, he gathered 900 participants and had each person try one of the three calculator apps, and then asked if the app is easy to use or not easy to use. Of the 300 participants that used Calculator A, 58% reported that the app is easy to use, which compares to 52% of the 300 that used Calculator B and 65% of the remaining 300 that used Calculator C.

1-1 To help Bumble conduct an appropriate test, first select the best statement for each hypothesis (from the dropdown).

H₀: [ Select ] ["A = B = C (all calculators share the equal % of the ease of use ratings)", "A B C (all calculators have different % of the ease of use ratings)", "NOT A = B = C (not all calculators share the equal % of the ease of use ratings)", "NOT A B C (not all calculators have different % of the ease of use ratings)"]

H₁: [ Select ] ["A = B = C (all calculators share the equal % of the ease of use ratings)", "A B C (all calculators have different % of the ease of use ratings)", "NOT A = B = C (not all calculators share the equal % of the ease of use ratings)", "NOT A B C (not all calculators have different % of the ease of use ratings)"]

1-2 What is the value of the calculated test statistic? (select from the dropdown) [ Select ] ["5.991", "7.563", "10.450", "14.039", "16.128"]

What is the value of its critical value at = 0.05 level of significance? (select from the dropdown) [ Select ] ["3.841", "5.024", "5.991", "7.378", "7.815", "9.348"]

1-3 What is the p-value? (select from the dropdown) [ Select ] ["less than 0.005", "between 0.005 and 0.01", "between 0.01 and 0.025", "between 0.025 and 0.05", "between 0.05 and 0.10", "between 0.10 and 0.90", "greater than 0.90"]

What is your conclusion at = 0.05? (select from the dropdown) [ Select ] ["All calculators share the equal % of the ease of use ratings", "All calculators have different % of the ease of use ratings", "Not all calculators share the equal % of the ease of use ratings", "Not all calculators have different % of the ease of use ratings"]

1-4 Using = 0.05 level of significance, conduct multiple pairwise comparison tests among the three calculators.

Based on your results, answer if each of the following pairs has a significant difference in the % of ratings. (select from the dropdown)

Between A and B: [ Select ] ["The difference is not significant", "A is significantly greater than B", "B is significantly greater than A"]

Between A and C: [ Select ] ["The difference is not significant", "A is significantly greater than C", "C is significantly greater than A"]

Between B and C: [ Select ] ["The difference is not significant", "B is significantly greater than C", "C is significantly greater than B"]