Question

Suppose that in a random selection of 100 colored​ candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 20​%. Use a 0.05 significance level to test that claim

Answer 1

given data are:-

sample size (n ) = 100

sample proportion () =0.23

hypothesis:-

test statistic is:-

p value be:-

[ using standard normal table]

decision:-

p value = 0.4532 > 0.05 (alpha)

so, we fail to reject the null hypothesis and conclude that there is sufficient evodence to support the company's claim at 0.05 level of significance.

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