Q1-5BSC
Question
Identifying \({H_0}\) and \({H_1}\) . In Exercises 5–8, do the following:
a. Express the original claim in symbolic form.
b. Identify the null and alternative hypotheses.
Online Data Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.
Step-by-Step Solution
Verifieda.The original claim in symbolic form is written in the following manner:
\(p > 0.5\)
b. Null hypothesis: The proportion of adults who would erase all of their personal information online if they could is equal to 0.5.
Alternative hypothesis: The proportion of adults who would erase all of their personal information online if they could is greater than 0.5.
Out of 565 randomly selected adults, 59% would erase all of their personal information online if they could.
a.
It is claimed that most adults would erase all of their personal information online if they could;this suggests that the original claim should be that the proportion of adults who would erase all of their personal information online if they could is greater than 50% or 0.5.
Symbolically, the claim would be \(p > 0.5\), where p is the proportion of adults who would erase all of their personal information online if they could.
b.
Null hypothesis: The proportion of adults who would erase all of their personal information online if they could is equal to 0.5.
\({H_0}:p = 0.5\)
Alternative hypothesis: The proportion of adults who would erase all of their personal information online if they could is greater than 0.5.
\({H_1}:p > 0.5\)