An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Using a .05 level of significance test the claim that the proportion is at least 34%. State the null hypothesis H0: _____________ State the alternative hypothesis H1: _____________ What is the test statistic used for the test (z or t) and its value (round to 2 places) State the significance or alpha (α) level Determine the p-value. (round to 4 places) Do you or do you not reject the null hypothesis? Why? Write a clear conclusion using a complete sentence.
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.
An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Using a .05 level of significance test the claim that the proportion is at least 34%.
- State the null hypothesis H0: _____________
- State the alternative hypothesis H1: _____________
- What is the test statistic used for the test (z or t) and its value (round to 2 places)
- State the significance or alpha (α) level
- Determine the p-value. (round to 4 places)
- Do you or do you not reject the null hypothesis? Why?
- Write a clear conclusion using a complete sentence.
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