I need help with my statistics homework please! (a) Two website designs are bein

Question

I need help with my statistics homework please!

(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 =

1. True or false: The expected counts are the counts we “expect” to observe if the alternative hypothesis were true. True False

Explanation / Answer

1:

The expected counts are the counts we “expect” to observe if the null hypothesis were true.

Correct option is: false

2:

What can we say about the value of the chi-square test statistic?

Answer: It is always positive.

3:

Step 1:

The p-value of two tailed test: 0.0771

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

Answer: false

Step 2:

The p-value of two tailed test: 0.0386

Since p-value is lesser than 0.05 so we reject the null hypothesis.

Answer: true

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