Researchers are interested if the proportion of teenagers who desire to be marri
ID: 3340824 • Letter: R
Question
Researchers are interested if the proportion of teenagers who desire to be married by the age of 25 is greater for boys or girls. Out of a random sample of 2000 teenagers in the state of California, 728 of the 1000 teenage girls answered that they desired to be married by the age of 25. Out of the 1000 teenage boys sampled, 470 stated that they desired to be married by the age of 25.
Question
Would the alternative hypothesis be right-tailed, left-tailed, or two-tailed?
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Suppose for this study that our observed statistic (female - male) is 0.258 and we had obtained a p-value of 0.00003. Which of the following could be a correct conclusion for this study?
Question options:
We have strong evidence to conclude that the proportion of teenage girls who desire to be married by the age of 25 is greater than the proportion of teenage boys who desire to be married by the age of 25.
We reject the null hypothesis that there would be no difference in the proportions of teenage boys and teenage girls who desire to be married by the age of 25.
We fail to reject the null hypothesis that there would be no difference in the proportions of teenage boys and teenage girls who desire to be married by the age of 25.
We have little to no evidence to conclude that the proportion of teenage girls who desire to be married by the age of 25 is greater than the proportion of teenage boys who desire to be married by the age of 25.
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What is the scope of inference for this study?
Question options:
causal association to the population of all teenagers in California
non-causal association to the sample of 2000 teenagers
non-causal association to the population of all teenagers in California
causal association to the sample of 2000 teenagers
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We have strong evidence to conclude that the proportion of teenage girls who desire to be married by the age of 25 is greater than the proportion of teenage boys who desire to be married by the age of 25.
We reject the null hypothesis that there would be no difference in the proportions of teenage boys and teenage girls who desire to be married by the age of 25.
We fail to reject the null hypothesis that there would be no difference in the proportions of teenage boys and teenage girls who desire to be married by the age of 25.
We have little to no evidence to conclude that the proportion of teenage girls who desire to be married by the age of 25 is greater than the proportion of teenage boys who desire to be married by the age of 25.
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What is the scope of inference for this study?
Question options:
causal association to the population of all teenagers in California
non-causal association to the sample of 2000 teenagers
non-causal association to the population of all teenagers in California
causal association to the sample of 2000 teenagers
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Explanation / Answer
a) It will be right tailed as we are trying to see if one proportion is greater than the other or not.
b) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 andinterpreted in the following way: A small p-value (typically 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
Here, p < alpha
Thus, null is rejected.
We have strong evidence to conclude that the proportion of teenage girls who desire to be married by the age of 25 is greater than the proportion of teenage boys who desire to be married by the age of 25.
causal association to the sample of 2000 teenagers
We have strong evidence to conclude that the proportion of teenage girls who desire to be married by the age of 25 is greater than the proportion of teenage boys who desire to be married by the age of 25.
causal association to the sample of 2000 teenagers
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