In answering the question(s), make sure to write down the following 7 steps. Step 1: Establish null...

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In answering the question(s),make sure to write down the following 7 steps.

Step 1: Establish null and alternate hypothesesState the null and alternative hypothesis (as a sentence andformula).

Step 2: Calculate the degrees of freedom

Step 3: Calculate t critical using critical t– table

Step 4: Calculate the Sum of Square deviation(SSD)

Step 5: Calculate t obtained

Step 6: Specify the critical value and the obtainedvalue on a t-distribution curve

Step 7: Decision and Conclusion Write a clearand concise conclusion.

A researcher is interested in whether gender predictsthe type of costume people would wear to an upcoming party. He asks6 guys and 6 girls: How likely would you be to wear a “CreepyClown” costume to the upcoming Halloween party? (1 = very unlikelyto 7 = very likely). The data are shown below.

Guys: 4 6 4 3 6 7

Girls: 2 5 4 1 2 3

1. Use alpha = .01 to see whether gender impactswillingness to wear a Creepy Clown costume. (Note: You need towrite down all the 7 steps.)

2. Use alpha = .01 to see whether guys are more willingthan girls to a Creepy Clown costume. (Note: You only need to writedown the steps that are different from part (1).)

3. Use alpha = .05 to see whether guys are more willingthan girls to a Creepy Clown costume. (Note: You only need to writedown the steps that are different from part (1).)

Answer & Explanation Solved by verified expert
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Solution Part 1 Step 1 Establish null and alternate hypotheses State the null and alternative hypothesis as a sentence and formula Null hypothesis H0 Gender do not impact significantly on willingness to wear a Creepy Clown costume Alternative hypothesis Ha Gender significantly impact on willingness to wear a Creepy Clown costume H0 1 2 vs Ha 1 2 This is a two tailed test Step 2 Calculate the degrees of freedom We are given n1 6 and n2 6 df n1 n2 2 6 6 2 10 Step 3 Calculate t critical using critical t table tcritical value 31693 Step 4 Calculate the Sum of Square deviation SSD SSD sqrtX mean2n 1 No Guys X X mean2 Girls Y Y mean2 1 4 1 2 069438889 2 6 1 5 469458889 3 4 1 4 136118889 4 3 4 1 336098889 5 6 1 2 069438889 6 7 4 3 002778889 Total 30 12 17 1083333334 Mean 5 2833333 SSD for guys sqrt126 1 sqrt125 sqrt24 1549193 SSD for girls sqrt10833333346 1 sqrt10833333345 1471960145 Step 5    See Answer
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