Use the following information to answer the next four questions. The following t
ID: 3294621 • Letter: U
Question
Use the following information to answer the next four questions. The following two hypotheses are tested: Ho: The proportion of U.S. adults who oppose g.a.y marriage is roughly 50%. Ha: The proportion of U.S. adults who oppose g.a.y marriage is above 50% (i.e., the majority oppose). Suppose a survey was conducted in which a random sample of 1,100 U.S. adults was asked about their opinions about g.a.y marriage, and based on the data, the p-value was found to be .002. Comment: Throughout this activity use a .05 (5%) significance level (cutoff).
1.The fact that the p-value = 0.002 means that:
There is .002 probability of observing data like those observed.
There is .002 probability that 50% of U.S. adults oppose g.a.y marriage.
There is a probability of .002 (i.e., very unlikely) to observe data like those observed if the proportion of U.S. adults who oppose g.a.y marriage were 50%.
There is .998 probability that the majority of U.S. adults oppose g.a.y marriage.
2.
Based on the p-value you can conclude that:
The data provide significant evidence that the proportion of U.S. adults who oppose g.a.y marriage is 50%.
The data provide significant evidence that the majority of U.S. adults oppose g.a.y marriage.
The data do not provide enough evidence to conclude that the majority of U.S. adults oppose g.a.y marriage.
The data provide evidence that Ha is more likely than Ho (i.e., it is more likely that the majority of U.S. adults oppose g.a.y marriage).
3.
Say that the p-value was not given, but rather, the following conclusion was advertised: "The survey does not provide enough evidence to conclude that the majority of U.S. adults oppose g.a.y marriage." Which of the following could have been the p-value that led to this conclusion?
.125
1.96
0.045
-1.96
4.
When would you conclude that the data provide enough evidence that the proportion of U.S. adults who oppose g.a.y marriage is 50%?
When the p-value is small (less than .05)
When the p-value is not small (above .05)
When exactly half the individuals in the sample oppose g.a.y marriage and half support it
Never
Use the following information to answer the next four questions.
The following two hypotheses are tested:
Ho: The average number of miles driven per year is 12,000.
Ha: The average number of miles driven per year is less than 12,000.
In a survey, 1,600 randomly selected drivers were asked the number of miles they drive yearly. Based upon the results, the p-value = .068.
Comment: Throughout this activity use a .05 (5%) significance level.
The fact that the p-value is .068 means that
There is a probability of .068 (reasonably likely) of observing data like those observed if the average number of miles driven per year is 12,000.
There is a probability of .068 of observing data like those observed.
There is a probability of .068 that the average number of miles driven per year is 12,000.
There is a .932 probability that the average number of miles driven per year is less than 12,000.
Based upon the p-value, which of the following conclusions can be made?
The data provide significant evidence that the average number of miles driven per year is less than 12,000.
The data do not provide significant evidence that the average number of miles driven per year is less than 12,000.
The data provide significant evidence that the average number of miles driven per year is 12,000.
The data provide significant evidence that the alternative hypothesis is more likely than the null hypothesis.
Explanation / Answer
1.The fact that the p-value = 0.002 means that:There is a probability of .002 (i.e., very unlikely) to observe data like those observed if the proportion of U.S. adults who oppose g.a.y marriage were 50%.Option C s correct.
2. Based on the p-value you can conclude that: The data provide significant evidence that the majority of U.S. adults oppose g.a.y marriage.Option B is correct.
3. Option A, which is p- value 0.125 which is greater than the significance level alpha =0.05. would provide that we shall not reject the null hypothess
4.
When would you conclude that the data provide enough evidence that the proportion of U.S. adults who oppose g.a.y marriage is 50%?
When the p-value is small (less than .05) YES
When the p-value is not small (above .05) INcorrect
When exactly half the individuals in the sample oppose g.a.y marriage and half support it Never: WRONG
Use the following information to answer the next four questions.
The following two hypotheses are tested:
Ho: The average number of miles driven per year is 12,000.
Ha: The average number of miles driven per year is less than 12,000.
In a survey, 1,600 randomly selected drivers were asked the number of miles they drive yearly. Based upon the results, the p-value = .068.
Comment: Throughout this activity use a .05 (5%) significance level.
The fact that the p-value is .068 means that
There is a probability of .068 (reasonably likely) of observing data like those observed if the average number of miles driven per year is 12,000. RIGHT OPTION
There is a probability of .068 of observing data like those observed.
There is a probability of .068 that the average number of miles driven per year is 12,000.
There is a .932 probability that the average number of miles driven per year is less than 12,000.
Based upon the p-value, which of the following conclusions can be made?
The data provide significant evidence that the average number of miles driven per year is less than 12,000.
The data do not provide significant evidence that the average number of miles driven per year is less than 12,000. Correct Answer
The data provide significant evidence that the average number of miles driven per year is 12,000.
The data provide significant evidence that the alternative hypothesis is more likely than the null hypothesis.
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