Math  /  Data & Statistics

Questionatistical Methods I FONO5 Deshaunte scales 12/03/24 1:01 PM उHW Question 2, 8.1.5 HW Score: 2.86\%, 0.8 of 28 points Part 2 of 2 Points: 0 of 1 Save
Claim: More than 4.5%4.5 \% of homes have only a landline telephone and no wireless phone. Sample data: A survey by the National Center for Health Statistics showed that among 16,063 homes 5.79%5.79 \% had landline phones without wireless phones. Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone. p 0.045 (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. H0:H1::ˉ\begin{array}{l|} \mathrm{H}_{0}: \\ \mathrm{H}_{1}: \\ : \bar{\nabla} \\ \square \end{array} (Type integers or decimals. Do not round.) w an example Get more help - Clear all Check answer

Studdy Solution
Identify the null and alternative hypotheses. The null hypothesis (H0 H_0 ) is typically a statement of no effect or no difference and includes equality. The alternative hypothesis (H1 H_1 ) is the claim we are testing.
- Null Hypothesis (H0 H_0 ): The proportion of homes with only a landline is equal to 4.5% 4.5\% .
H0:p=0.045 H_0: p = 0.045
- Alternative Hypothesis (H1 H_1 ): The proportion of homes with only a landline is greater than 4.5% 4.5\% .
H1:p>0.045 H_1: p > 0.045
The hypotheses are:
\[ \begin{array}{l|} \mathrm{H}_{0}: p = 0.045 \\ \mathrm{H}_{1}: p > 0.045 \\ \end{array} $

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