### Analysis of Computer Access and Use by Household Income A sample survey by Nielsen Media Research examined computer access and use of the Internet across different racial groups. The findings indicated that Whites were significantly more likely than Blacks to own a home computer; however, the difference in computer access at work between the two groups was not significant. The study further analyzed a subset of households with an annual income of at least $40,000. The sample consisted of 1904 White and 140 Black households within this income bracket. Below are the sample counts for these households: #### Sample Counts: | | Blacks | Whites | |------------------|--------|--------| | **Own home computer** | 86 | 1170 | | **Computer access at work** | 105 | 1127 | --- ### Statistical Analysis #### (a) Home Computer Ownership: **Objective:** To determine if there is a significant difference at the 5% level in the proportion of higher-income Blacks and Whites who own home computers. - **Test Statistic (z):** -1.706 - **P-value:** 0.088 **Conclusion:** - \(\bigcirc\) There is significant evidence that the proportion of higher-income Blacks and Whites that own home computers differs. - **● There is no evidence that the proportion of higher-income Blacks and Whites that own home computers differs.** #### (b) Computer Access at Workplace: **Objective:** To determine if there is a significant difference at the 5% level in the proportion of higher-income Blacks and Whites who have computer access at work. - **Test Statistic (z):** 1.57 - **P-value:** 0.1165 **Conclusion:** - \(\bigcirc\) There is significant evidence that the proportion of higher-income Blacks and Whites that have computer access at work differs. - **● There is no evidence that the proportion of higher-income Blacks and Whites that have computer access at work differs.** --- The statistical tests indicate that there is no significant difference in the proportion of higher-income Blacks and Whites owning home computers or having computer access at work, based on the given P-values (both exceeding the 0.05 threshold for significance). These findings assist in understanding the digital divide in computer access and utilization, thereby guiding policies aimed at addressing these disparities.