200 employees (two categories of staff member ''Professional'' and "Support") were asked to participate in a...

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200 employees (two categories of staff member ''Professional'' and "Support") were asked to participate in a...

200 employees (two categories of staff member ''Professional'' and "Support") were asked to participate in a training program. After completing the program, the employees were asked to evaluate this program (three types of opinion: "Harmful", "No effect", "Helpful"). The answers are:

Professional staff: "Harmful": 10; "No effect": 25; "Helpful": 65;

Support staff: "Harmful": 16; "No effect": 37; "Helpful": 50.

Is "Opinion" independent of "Employee category"?

a) Calculate Chi-square (round to two decimal places) .

b) What is the corresponding degree of freedom DF ?

c) Enter the p-value (round to three decimal places) .

d) Conclusions: based on the results, do you think that "Opinion" is dependent or independent on "Employee category" at 1% significance level? Enter the correct answer using the following options: .

Not independent at 1% significance level.
Independent with 99% confidence.
Do not reject that they are independent at 1% significance level and reserve judgement. We may accept independence, but with some unknown probability.
Reject both, H0 and H1, the test has failed.
Accept both, H0 and H1, the test has failed.

math Statistics-And-Probability

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