I need help with these last 6 homework questions. The rest I either figured out

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I need help with these last 6 homework questions. The rest I either figured out on my own or had assistance. Please answer all questions! Thank you! I will rank best answer!

(a) Two website designs are being compared. 56 students have agreed to be subjects for the study, and they are randomly assigned to visit one or the other of the
websites for as long as they like. For each student the study directors record whether or not the visit lasts for more than a minute. For the first design, 12 students visited for more than a minute; for the second, 5 visited for more than a minute.

Find (±±0.001) the counts and the sample sizes; compute the two proportions and find their difference

X1X1 = , X2X2 =

pˆ1p^1 = , pˆ2p^2 =

difference =

(b) Samples of first-year students and fourth-year students were asked if they were in favor of a new proposed core curriculum. Among the first-year students, 80said "Yes" and 273 said "No." For the fourth-year students, 114 said "Yes" and 100 said "No.".

Find (±±0.001) the counts and the sample sizes; compute the two proportions and find their difference

X1X1 = , X2X2 =

n1n1 = , n2n2 =

pˆ1p^1 = , pˆ2p^2 =

difference =

4. How should data be collected for a chi-square test? Random allocation of individuals to two or more treatments with one categorical measurement All of the above are appropriate methods of data collection One simple random sample from one population with two questions have categorical responses None of the above are appropriate methods of data collection Separate simple random samples—one from each population with one question having categorical responses

Explanation / Answer

5) since the interval contains the value 0 , then the result is not significant.

We can conclude that the population proportion of 1st generation students is equal to the population proportion of non 1st generation students.

6) the proportions can be normal if both

n1p1>5 , n2p2>5

n1(1-p1)>5, n2(1-p2) >5

are satisfied.

7) true

There exists no relation between two variables.

8) smaller

As the expected counts are become closer to the observed counts then the chi square value becomes narrower.

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