1) A sample of 300 is classified by whether they are planning on attending an up
ID: 3371612 • Letter: 1
Question
1) A sample of 300 is classified by whether they are planning on attending an upcoming school event (Yes/No) and their year in school (Freshman/Sophomore/Junior/Senior). The sample consists of 120 freshman, 20 sophomores, 100 juniors, and 60 seniors. 30 of the seniors plan to attend the event (said Yes). How many of the freshmen would you expect to also be planning to attend the event if there's no relationship between year in school and plan to attend? (HINT: Draw the matrix and fill in the values given above in the correct spots. This should help you figure out the values in other spots in the matrix.)
2) What is the null hypothesis for the chi-square goodness of fit test?
There is no relationship between the variables.
The proportions in the unknown population are not the same as in the known population.
The chi-square goodness of fit test does not have a null hypothesis.
The proportions in the unknown population are the same as in the known population.
3) A survey conducted in 2000 found that 80% of the population had graduated from high school. A researcher wants to see if that has changed. The null hypothesis of her test is that there is no change. She randomly selected 500 people from the population. How many of them should have graduated from high school if nothing has changed (if the null is true)?
100
80%
400
This question cannot be answered given the information provided.
4) ?The expected frequencies for a chi-square test of independence are based on the following:
all of the rows have the exact same expected frequencies
all of the rows have the exact same totals
None of the other statements is true.
the proportions for the categories in one column are exactly the same as the proportions in every other column
a.There is no relationship between the variables.
b.The proportions in the unknown population are not the same as in the known population.
c.The chi-square goodness of fit test does not have a null hypothesis.
d.The proportions in the unknown population are the same as in the known population.
Explanation / Answer
1) there are 60 senior out of that 30 plan to attend the event
hence out of 120 freshment we expect 30/60*120 = 60
2)
option D) is correct
The proportions in the unknown population are the same as in the known population.
3)
if the null is true
then
500 * 80 % = 400
option C) 400 is correct
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