As Internet usage flourishes, so do questions of security and confidentiality of personal information. A survey of U.S. adults resulted in a 95% confidence interval for the proportion of all U.S. adults who would never give personal information to a company of (0.22, 0.30). Based on this interval, which one of the null hypotheses below (versus a two-sided alternative) can be rejected? A) H₀: p = 2/7 B) H₀: p = 1/3 C) H₀: p = 1/4 D) H₀: p = 0.26

Question

Quizplus · Accepted Answer

The null hypothesis that can be rejected is the one where the hypothesized proportion (p) falls outside the 95% confidence interval (0.22, 0.30). Option B, p = 1/3 (or approximately 0.33), is the only value that falls outside this interval, making it the hypothesis that can be rejected based on the given confidence interval.

As Internet Usage Flourishes, So Do Questions of Security and Confidentiality