Which of the following is an appropriate formulation for the hypotheses test? Enter the corresponding number in the answer text box. H0: μ ≤ 0.3 Ha: μ > 0.3 H0: μ ≥ 0.3 Ha: μ < 0.3 H0: μ ≤ 0.34 Ha: μ > 0.34 H0: μ ≥ 0.34 Ha: μ < 0.34 H0: ≤ 0.34 Ha: > 0.34 H0: ≥ 0.34 Ha: < 0.34 H0: ≤ 0.3 Ha: > 0.3 H0: ≥ 0.34 Ha: < 0.34 H0: P ≤ 0.3 Ha: P > 0.3 H0: P ≥ 0.3 Ha: P < 0.3 H0: ≤ 0.34 Ha: > 0.34 H0: ≥ 0.34 Ha: < 0.34 The answer is: Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. Include the minus sign in the response if the answer is negative. For example, if the answer is 6.1525, first round it to three decimals which is 6.153 and then enter it as 6.153 to match the format. If the answer is -0.2 then enter it as -0.200 in the answer box and include the minus sign. If the answer is 0.32 then enter it as 0.320 to match the format. What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b. The answer is: What is the P-value? Enter the answer in x.xxx format per instructions for part b. The answer is: c. What is the decision? Enter “R” if the decision is to reject the null hypotheses. Enter “F” if the decision is do not reject the null hypotheses. The answer is: Which of the following statements is the appropriate conclusion to be made at 0.05 level of significance. The data does not provide sufficient evidence to conclude that the proportion of individuals 18 to 34 years old who are dependent on their parents has increased. The data provide sufficient evidence that proportion of individuals 18 to 34 years old who are dependent on their parents has increased. The data provides sufficient evidence that the proportion of individuals 18 to 34 years old who are dependent on their parents has decreased. The data provides sufficient evidence that the proportion of individuals 18 to 34 years old who are dependent on their parents has not decreased.
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.
Tree diagram
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.
Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving support from parents) into early adulthood (The Enquirer, March 16, 2014). A family research organization has claimed that, in past generations, no more than 30% of people between ages 18 to 32 continued to be dependent on their parents. Suppose a sample of 400 individuals aged 18 to 32 showed that currently 132 of them continued to be dependent on their parents. Conduct a hypotheses test to determine whether the proportion of individuals ages 18 to 32 who are dependent on their parents is higher than past generations. Use 0.05 level of significance.
Which of the following is an appropriate formulation for the hypotheses test? Enter the corresponding number in the answer text box.
H0: μ ≤ 0.3 Ha: μ > 0.3
H0: μ ≥ 0.3 Ha: μ < 0.3
H0: μ ≤ 0.34 Ha: μ > 0.34
H0: μ ≥ 0.34 Ha: μ < 0.34
H0: ≤ 0.34 Ha: > 0.34
H0: ≥ 0.34 Ha: < 0.34
H0: ≤ 0.3 Ha: > 0.3
H0: ≥ 0.34 Ha: < 0.34
H0: P ≤ 0.3 Ha: P > 0.3
H0: P ≥ 0.3 Ha: P < 0.3
H0: ≤ 0.34 Ha: > 0.34
H0: ≥ 0.34 Ha: < 0.34
The answer is:
Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. Include the minus sign in the response if the answer is negative. For example, if the answer is 6.1525, first round it to three decimals which is 6.153 and then enter it as 6.153 to match the format. If the answer is -0.2 then enter it as -0.200 in the answer box and include the minus sign. If the answer is 0.32 then enter it as 0.320 to match the format.
What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b.
The answer is:
What is the P-value? Enter the answer in x.xxx format per instructions for part b.
The answer is:
c. What is the decision?
Enter “R” if the decision is to reject the null hypotheses. Enter “F” if the decision is do not reject the null hypotheses.
The answer is:
Which of the following statements is the appropriate conclusion to be made at 0.05 level of significance.
The data does not provide sufficient evidence to conclude that the proportion of individuals 18 to 34 years old who are dependent on their parents has increased.
The data provide sufficient evidence that proportion of individuals 18 to 34 years old who are dependent on their parents has increased.
The data provides sufficient evidence that the proportion of individuals 18 to 34 years old who are dependent on their parents has decreased.
The data provides sufficient evidence that the proportion of individuals 18 to 34 years old who are dependent on their parents has not decreased.
The answer is:
If it is decided to reject the null hypotheses and claim that the proportion of individuals 18 to 34 years old who are dependent on their parents is now higher than in the past, what is the probability the decision is incorrect?
Enter the answer in x.xxx per instruction for part b of this problem
The answer is:
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