Probability

[Ashna]

According to the Fiji Diabetes Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017. A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes. Using a 5% significance level, perform a test of hypothesis to determine if the current percentage of Fijians aged 60 years or older who have diabetes is higher than that in 2017. Use the P-value method.

can someone help me with the above question
i am stuck at the critical values
my attempts are shown below
Step 1: Hypothesis

H0 = µ >60

H1 = µ ≠60

Step 2: Type of test = right tail test

Step 3: Level if significance: α = 0.05

Step 4: Critical Value : p=60 and df = 199

 

[Dr.Peterson]

Frankly, almost everything is wrong about this.

The hypotheses should not be about µ. This is a proportion test.

The number 60 is not a mean, and in fact is not what the question is about. 60 is a fixed number in the problem.

The null hypothesis is never a pure inequality; it would typically be [MATH]\mu = 60[/MATH], or in some sources [MATH]\mu\le 60[/MATH], while H1 would be [MATH]\mu > 60[/MATH]. (That's if it were about µ or about 60 in the first place!)

Give it another try, after looking in your notes for a comparable example.