Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were nol BelHg 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 ag significance. Because npo 1-Po) = 172.5 > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for te are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: (Type integers or decimals. Do not round.) versus H.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
![## Assessment of Parental Concerns on High School Math and Science Education
**Background:**
Twenty years ago, 56% of parents of children in high school believed it was a serious issue that students were not receiving enough math and science education. A recent survey of 700 parents showed that 247 expressed the same concern. We aim to determine if parental attitudes have changed over this period, using a significance level of α = 0.01.
**Statistical Analysis:**
The formula for checking sample adequacy is:
\[ n p_0 (1 - p_0) = 172.5 \]
- **Criteria Evaluation:**
- Since \( 172.5 \geq 10 \), the sample size is sufficient.
- The sample size is **less than 5%** of the population.
- The sample can be assumed to be random.
These criteria satisfy the requirements for hypothesis testing.
**Hypotheses Definition:**
- **Null Hypothesis (\( H_0 \)):** Parents' current concerns are similar to those from twenty years ago.
- **Alternative Hypothesis (\( H_1 \)):** There is a significant change in parental concerns compared to twenty years ago.
(Enter specific proportions or statistical values as integers or decimals without rounding.)
The content is structured to guide an education-focused audience through the process of evaluating changes in parental concerns using a statistical hypothesis test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bcd9420-2e71-4537-86fb-91c5a0e6047d%2Fce87fbc1-ab2c-4645-81ee-19cca5b4fd9f%2Fgyaw9wg_processed.jpeg&w=3840&q=75)
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