Twenty years ago, 52% 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 214 of 700 parents of 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 = 0.05 level of significance. Because npo (1- Po) = V 10, the sample size is V 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Transcription for Educational Website:**

**Statistical Analysis of Parental Concerns Over Math and Science Education**

Twenty years ago, 52% 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 214 out of 700 parents of 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 α = 0.05 level of significance.

To determine if there is a statistically significant difference:

1. **Condition for Sample Size Adequacy:**
   \[
   np_0 (1 - p_0) = \boxed{\phantom{x}}
   \]
   If this value is greater than or equal to 10, the sample size is appropriate.

2. **Percentage Check:**
   Ensure the sample size is at least 5% of the population size.

3. **Hypothesis Testing:**
   Determine if the requirements for testing the hypothesis are \(\boxed{\text{Satisfied/Not Satisfied}}\).

**Note:** Please round all calculations to one decimal place as needed.

This exercise is intended to guide you through the process of hypothesis testing using real-world data, ensuring a thorough understanding of statistical significance in parental perceptions.
Transcribed Image Text:**Transcription for Educational Website:** **Statistical Analysis of Parental Concerns Over Math and Science Education** Twenty years ago, 52% 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 214 out of 700 parents of 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 α = 0.05 level of significance. To determine if there is a statistically significant difference: 1. **Condition for Sample Size Adequacy:** \[ np_0 (1 - p_0) = \boxed{\phantom{x}} \] If this value is greater than or equal to 10, the sample size is appropriate. 2. **Percentage Check:** Ensure the sample size is at least 5% of the population size. 3. **Hypothesis Testing:** Determine if the requirements for testing the hypothesis are \(\boxed{\text{Satisfied/Not Satisfied}}\). **Note:** Please round all calculations to one decimal place as needed. This exercise is intended to guide you through the process of hypothesis testing using real-world data, ensuring a thorough understanding of statistical significance in parental perceptions.
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