e the problem. 5) A polling agency is interested in testing whether the proporti
ID: 3065816 • Letter: E
Question
e the problem. 5) A polling agency is interested in testing whether the proportinfwis that there is no The null hypothesis is that there is no ion of women who support the female candidate is less than the candidate for office is less than the proportion of men. difference in the proportions of hypothesis is that the proportion who support proportion of men. The test results in a p- valse of 0,041. Which of the following is the best interpretation of the p- value? women who support a female 5 men and women who support the female candidate. The alternative A) The p-value is the probability that the majority of men will support the female candidate B) The p- value is the probability that the majority of women will support the fe O The P- value is the probability of getting a result that is as extreme as or more extreme than the one obtained, assuming that there is no difference in the proportions. D) The p- value is the probability of getting a result that is as extreme as or more the one obtained, assuming that the proportion of women who s is less than the proportion of men. support the female candidate Pporttheemateme than researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. population who reported drinking once a week or less in the last month was 0.26. The null hypothesis for this test is H p :026 and a busy park located in the region. A. Suppose a recent study stated that the proportion of adults in the general the alternative hypothesis is Haips0.26 The researcher collected data from 150 surveys he handed out at 6) Check that the conditions hold so that the sampling distribution of the z-statistic will 6) B) No the conditions are not satisfied, the researcher did not collect a random sample C) Yes, the population of proportions can be assumed to be roughly symmetric. D) No, the population of interest is not large enough to assume independence. Use the following information to answer the question. A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults.S stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The null hypothesis for this test is Ho: p 026 and the alternative hypothesis is Hai P0.26 The researcher collected data f 150 surveys he handed out at a busy park located in the region. uppose a recent study 7) To continue the study into the drinking habits of adults, the researcher decides to co llect data from 7) adults working in "white collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is Hg p 0.26 and the alternative hypothesis is HapExplanation / Answer
8)
The conditions of standard normal distribution are:
1) Random Sample
2) Sample size should be large enough (N > 30).
No, not all the conditions of standard normal distribution are satisfied. Hence
C) No, the researcher did not collect a random sample.
9)
Given,
H0: p = 0.26
Ha: p > 0.26
n = 90
p^ = 30/90 = 0.3333
test statistic = (p^ - p)/{p(1-p)/n}1/2 = 1.5861
Using the z-table,
Required p-value = 1-0.9441 = 0.0559
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