Question

suppose that in a random selection of 100 colored candies, 24% of them are blue. the candy company claims that the percentage of blue candies is equal to 27%. use a 0.05 significance level to test that claim.

identify the test statistic for this hypothesis test.
the test statistic for this hypothesis test is
(round to two decimal places as needed.)

Explanation:

Step1: Calculate the sample proportion $\hat{p}$

The sample proportion $\hat{p}=0.24$ (since 24% of 100 candies are blue), the claimed proportion $p = 0.27$, and the sample size $n=100$.

Step2: Compute the test - statistic formula

The formula for the test - statistic $z$ in a proportion hypothesis test is $z=\frac{\hat{p}-p}{\sqrt{\frac{p(1 - p)}{n}}}$.
Substitute the values:

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Answer:

The test statistic for this hypothesis test is $-0.68$.