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Math  /  Data & Statistics

QuestionQuestion 2
Less than 39\% of workers got their job through newspaper ads. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). H0:p□H1:p□\begin{array}{l} H_{0}: p \square \\ H_{1}: p \square \end{array}
Use the following codes to enter the following symbols: ≥ enter >=≤ enter <=≠ enter !=\begin{array}{l} \geq \text { enter }>= \\ \leq \text { enter }<= \\ \neq \text { enter }!= \end{array}

Studdy Solution

STEP 1

1. The problem involves formulating null and alternative hypotheses for a proportion.
2. The claim is that less than 39% of workers got their job through newspaper ads.

STEP 2

1. Define the null hypothesis (H0H_0).
2. Define the alternative hypothesis (H1H_1).

STEP 3

The null hypothesis (H0H_0) represents the statement of no effect or no difference. It is typically a statement of equality or a statement that includes equality. In this context, it suggests that the proportion of workers who got their job through newspaper ads is at least 39%.
H0:p≥39% H_0: p \geq 39\%

STEP 4

The alternative hypothesis (H1H_1) represents the claim to be tested. It is the statement that we are trying to find evidence for. In this context, it suggests that the proportion of workers who got their job through newspaper ads is less than 39%.
H1:p<39% H_1: p < 39\%
The null and alternative hypotheses are:
\[ \begin{array}{l} H_0: p >= 39\% \\ H_1: p < 39\% \end{array} $

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