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.

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.

$H_1:p>0.5$