Question

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.
Required:
What is an appropriate set of hypotheses for his significance test?

Answer 1

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis $H_0: p = 0.06$ and alternate hypothesis $H_1: p \neq 0.06$

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

$H_0: p = 0.06$

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

$H_1: p \neq 0.06$

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis $H_0: p = 0.06$ and alternate hypothesis $H_1: p \neq 0.06$