Question

suppose that in a random selection of 100 colored​ candies, ​21% of them are blue. the candy company claims that the percentage of blue candies is equal to ​30%. use a 0.10 significance level to test that claim.

Answer 1

The z = - 1.963 lies between -1.645 and 1.645 we fail to reject the null hypothesis.

What does null hypothesis mean?

The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Alternative hypothesis: p not equal to 0.30

$z =\frac{ 0.21 - 0.30}{\sqrt{0.30 ( 1- 0.30)/100} }$

$z = \frac{0.09}{0.04582575694}$

z = - 1.963

Critical value at  α = 0.10 is 1.645

Therefore,  z=-0.89 lies between -1.645 and 1.645 we fail to reject the null hypothesis.

Learn more about Null hypothesis

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