Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 247 of 700 parer children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the a = 0.01 significance. because npo (- Po) =2.5 > TU, une sampie size is iess inan 5%% Or ine popuiauon sıze, ana ine sampie can be reasoriabiy assurmea to De ranIaom, ine requiremenis ior lesung ine nypoinesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? = 0.56 versus H,: p * 0.56 Ho: P (Type integers or decimals. Do not round.) Find the test statistic. Z, = - 11.04 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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### Statistical Hypothesis Testing Example

Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 247 out of 700 parents of children in high school felt it was a serious problem. Do parents feel differently today than they did twenty years ago? Use the \(\alpha = 0.01\) level of significance.

#### Hypotheses:

- Null hypothesis (\(H_0\)): \(p = 0.56\)
- Alternative hypothesis (\(H_1\)): \(p \neq 0.56\)

*Note: \(p\) represents the proportion of parents who are concerned.*

#### Test Statistic Calculation:

The calculated test statistic is:

\[ z_0 = -11.04 \]

*Round to two decimal places as needed.*

#### P-value:

The P-value is determined based on the test statistic value. 

*Round to three decimal places as needed.*

#### Instructions:

Enter your answer in the answer box and then click "Check Answer" to proceed with the hypothesis testing evaluation.
Transcribed Image Text:### Statistical Hypothesis Testing Example Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 247 out of 700 parents of children in high school felt it was a serious problem. Do parents feel differently today than they did twenty years ago? Use the \(\alpha = 0.01\) level of significance. #### Hypotheses: - Null hypothesis (\(H_0\)): \(p = 0.56\) - Alternative hypothesis (\(H_1\)): \(p \neq 0.56\) *Note: \(p\) represents the proportion of parents who are concerned.* #### Test Statistic Calculation: The calculated test statistic is: \[ z_0 = -11.04 \] *Round to two decimal places as needed.* #### P-value: The P-value is determined based on the test statistic value. *Round to three decimal places as needed.* #### Instructions: Enter your answer in the answer box and then click "Check Answer" to proceed with the hypothesis testing evaluation.
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