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Chapter 8: Q5 (page 371)

Identifying H0 and H1 . In Exercises 5鈥�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.

Short Answer

Expert verified

a. 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.

Step by step solution

01

Given information

Out of 565 randomly selected adults, 59% would erase all of their personal information online if they could.

02

Identify the original claim

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.

03

Hypotheses

b.

Null hypothesis: The proportion of adults who would erase all of their personal information online if they could is equal to 0.5.

H0: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.

H1:p>0.5

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