Mathematics, 20.12.2019 05:31 krishawnnn

Afinancial advisor believes that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is at least 0.6. a survey of 33 investors found that 21 of them were risk-averse. formulate a one-sample hypothesis test for a proportion to test this belief.

Answers

It is failed to reject the null hypotehesis. There is no enough evidence that the proportion of investors who are risk-averse is not 0.6.

Step-by-step explanation:

We have to perform an hypothesis test of a proportion.

The null and alternative hypothesis are:

$H_0: \pi=0.6\\\\H_1: \pi\neq 0.6$

We state a significance level of 0.1.

The sample proportion is

p=21/33=0.636

The standard deviation is

$s=\sqrt{\frac{p(1-p)}{N}} =\sqrt{\frac{0.6*0.4}{33}}=0.085$

The test statistic z is calculated as

$z=\frac{p-\pi-0.5/N}{\sigma} =\frac{0.636-0.6-0.5/33}{0.085}=\frac{0.021}{0.085}=0.247$

The P-value of z=0.247 is P=0.8. This value is bigger than the significance level, so the efect is not significant.

It is failed to reject the null hypotehesis. There is no enough evidence that the proportion of investors who are risk-averse is not 0.6.

Answer from: Quest

It’s hard to understand what you put.. can you show a picture ?

Answer from: Quest

lol.

it's ok we all do this sometimes.

-aparri

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