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

The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.

Given :

Hypothesis are as follows:

Null hypothesis,  

Alternate hypothesis,  

Now, performing the test of the hypothesis. The critical value z is given by:

   ----- (1)

Now, the value of is given by:

Now, put the values of known terms in equation (1).

z = 0.973

Therefore, the null hypothesis is accepted.

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The point estimated is 0.260

Step-by-step explanation:

The computation is shown below:

Sample in which the people have diabetes = 52

Random sample = 200

Significance level = 5%

Based on this, the, estimation point is

= Sample in which the people have diabetes ÷ Random sample

= 52 ÷ 200

= 0.260

hence, the point estimated is 0.260

We simply applied the above formula

And, the same is to be considered

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step-by-step explanation:

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step-by-step explanation: