Problem

Unit 3 Chapter 9: Lesson 9.1 Assignment Score: $72 / 100 \quad 13 / 17$ answered Question 5 At least $79 \%$ of people mind if others smoke near a building entrance. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). \[ \begin{array}{l} H_{0}: p \\ H_{1}: p \end{array} \] Use the following codes to enter the following symbols: \[ \begin{array}{l} \geq \text { enter }>= \\ \leq \text { enter }<= \\ \neq \text { enter } 1= \end{array} \]

Solution

Step 1 :The null hypothesis (H0) is a statement of no effect or no difference. It is the hypothesis that the researcher is trying to disprove. In this case, the null hypothesis would be that the percentage of people who mind if others smoke near a building entrance is less than or equal to 79%.

Step 2 :The alternative hypothesis (H1) is a statement that contradicts the null hypothesis. It is the hypothesis that the researcher believes to be true. In this case, the alternative hypothesis would be that the percentage of people who mind if others smoke near a building entrance is greater than 79%.

Step 3 :Final Answer: \[\boxed{H_{0}: p \leq 0.79} \] \[\boxed{H_{1}: p > 0.79} \]

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