Answer:
Option c.
Step-by-step explanation:
Using the normal curve to approximate a sampling distribution:
For a sample size n and a proportion n, the normal curve can be used if:
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Option a:
[tex]np = 35*0.8 = 28 > 10[/tex]
[tex]n(1-p) = 35*0.2 = 7 < 10[/tex]
So option a cannot be used.
Option b:
[tex]np = 65*0.9 = 58.5 > 10[/tex]
[tex]n(1-p) = 65*0.1 = 6.5 < 10[/tex]
So option b cannot be used.
Option c:
[tex]np = 65*0.8 = 52 > 10[/tex]
[tex]n(1-p) = 65*0.2 = 13 > 10[/tex]
So option c can be used, and is the answer
Option d:
[tex]np = 35*0.9 = 31.5 > 10[/tex]
[tex]n(1-p) = 35*0.1 = 3.5 < 10[/tex]
So option d cannot be used.
The answer is given by option c.
