Answer:
a
The null hypothesis is [tex]H_o : p = 0.67[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.67[/tex]
b
The sample proportion is [tex]\^ p = 0.65[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is [tex]k = 355[/tex]
The population proportion is [tex]p = \frac{2}{3} = 0.67[/tex]
Generally
The null hypothesis is [tex]H_o : p = 0.67[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.67[/tex]
Gnerally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k}{n}[/tex]
=> [tex]\^ p = \frac{ 355}{546}[/tex]
=> [tex]\^ p = 0.65[/tex]
