Problem

The null and alternative hypotheses are given. Determine whether the hypothesis test is left -tailed, right-tailed, or two-tailed.
\[
\begin{array}{l}
H_{0}: p=0.89 \\
H_{1}: p< 0.89
\end{array}
\]
True/False test
Left-tailed test
Two-tailed test
Right-tailed test

Answer

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Answer

Final Answer: The hypothesis test is a \(\boxed{\text{Left-tailed test}}\).

Steps

Step 1 :The null hypothesis (H0) is a statement of no effect or no difference. The alternative hypothesis (H1) is a statement that there is an effect or a difference.

Step 2 :The direction of the inequality in the alternative hypothesis determines the type of the test.

Step 3 :If the inequality points to the left (<), it's a left-tailed test. If it points to the right (>), it's a right-tailed test. If there is a not equal to sign (≠), it's a two-tailed test.

Step 4 :In this case, the alternative hypothesis is p < 0.89, which is a left-tailed test.

Step 5 :So, the answer is True for Left-tailed test and False for Two-tailed test and Right-tailed test.

Step 6 :Final Answer: The hypothesis test is a \(\boxed{\text{Left-tailed test}}\).

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