Respuesta :
Answer:
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
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 :
- 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.
- Use a 5% significance level.
Hypothesis are as follows:
Null hypothesis, [tex]\rm H_0: p\leq 0.231[/tex]
Alternate hypothesis, [tex]\rm H_a : p>0.231[/tex]
Now, performing the test of the hypothesis. The critical value z is given by:
[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex] ----- (1)
Now, the value of [tex]\hat {p}[/tex] is given by:
[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]
Now, put the values of known terms in equation (1).
[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]
[tex]z = \dfrac{0.029}{0.0298}[/tex]
z = 0.973
Therefore, the null hypothesis is accepted.
For more information, refer to the link given below:
https://brainly.com/question/19613147
