Consider testing the alternative hypothesis that the proportion of adult Canadians opposed to same-sex marriage in Canada is less than 0.5 . The test was conducted based on a poll of n = 1003 adults and it had a p-value of 0.102 . Which of the following describes the probability represented by the p-value for this test?
a. It is the probability that fewer than half of all adults in Canada that year were opposed to same-sex marriage.
b. It is the probability that more than half of all adult Canadians that year were opposed to same-sex marriage.
c. It is the probability that a sample of 1003 adults in Canada that year would result in 48 or fewer saying they are opposed to same-sex marriage, given that a majority (over 50) of Canadian adults actually were opposed that year.
d. It is the probability that a sample of 1003 adults in Canada that year would result in 48 or fewer saying they are opposed to same-sex marriage, given that 50 of Canadian adults actually were opposed that year.
Question 2
Grade school students, especially the ones in higher grades, tend to spend a lot of time on the computer already. The average amount of time 4th grade boys spend on the computer is 5 hours per week, with a standard deviation of 1 hour. For 5th grade boys the average increases to 7 hours per week with a standard deviation of 1.5 hours. Random sample of 20 4th grade students and 25 5th grade students are to be selected. What is the standard deviation of the sampling distribution of the difference in sample means?
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