Question

mobile App Website Design. Based on a 2018 study, the average elapsed time between when a user navigates to a website on a mobile device until its main content is available was 14.6 seconds. This is more than a 20% increase from 2017. Responsiveness is certainly an important feature of any website and is perhaps even more import-ant on a mobile device. What other web design factors need to be considered for a mobile device to make it more user friendly? Among other things, navigation menu placement and amount of text entry required are important on a mobile device. The following data provide the time it took (in seconds) randomly selected students (two for each factor combination) to perform a pre specified task with the different combinations of navigation menu placement and amount of text entry required.

                                                               Amount of Text Entry Required

                                                             Low                                    High

                                       Right            8                                            12

                                                           12                                            8

Navigation Menu Position Middle 22                                         36

                                                          14                                            20

                                       Left          10                                            18

                                                      18                                               14

Use the ANOVA procedure for factorial designs to test for any significant effects resulting from navigation menu position and amount of text entry required. Use a = .05.

- Provide a table of summary statistics and provide preliminary observations/interpretations

-State the null and alternative hypotheses to be tested and

- Include the complete ANOVA table.

-And conclusions and interpretations.

Answer 1

Source	SS	df	MS	F	p-value
Navigation Menu Position	344.00	2	172.000	4.78	.0574
Amount of Text Entry Required	48.00	1	48.000	1.33	.2921
Interaction	56.00	2	28.000	0.78	.5008
Error	216.00	6	36.000
Total	664.00	11

The hypothesis being tested is:

H₀: There is no main effect of Navigation Menu Position

H_a: There is a main effect of Navigation Menu Position

The p-value is 0.0574.

Since the p-value (0.0574) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a main effect of Navigation Menu Position.

The hypothesis being tested is:

H₀: There is no main effect of Amount of Text Entry Required

H_a: There is a main effect of Amount of Text Entry Required

The p-value is 0.2921.

Since the p-value (0.2921) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a main effect of Amount of Text Entry Required.

The hypothesis being tested is:

H₀: There is no interaction effect

H_a: There is an interaction effect

The p-value is 0.5008.

Since the p-value (0.5008) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is an interaction effect.

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