This is the claim: Gender is independent of opinion on whether or not Trump shou

Question

This is the claim: Gender is independent of opinion on whether or not Trump should be impeached.

PART 2: Test this claim using a level of significance of .05 Using the p-value method. Show all steps.

a.) Step 1: State claim in symbol form

b.) Step 2: Determine Ho and Ha

c.) Step 3: Determine the type of test (left, right, two-tailed) and level of significance.

d.) Step 4: Find test value, which can be found by the calculator if possible. State which

function and what you entered.

e.) Step 5: The p-values must be found using Excel.

f.) Step 6: State conclusion and why.

g.) Step 7: Rewrite conclusion in non-technical terms (complete sentence)

Question 1: How many televisions does your household have? Discrete Question 2: What is the average number of minutes it takes you to get to campus from home? Continuous Question 3: What is your favorite Chicago sports team? Categorical Question 4: Do you agree/disagree that President Trump should be impeached? Opinion Person Gender Question Question 2 Question 3 Question 4 1 F 5 10 Fire Strongly Agree No Opinion 3 M 3 2 Cubs No Opinion 4 F 2 25 Cubs Agree F 3 20 Bulls Agree Disagree White Sox. Disagree 10 M 2 25 Blackhawks Agree 11 M 3 20 Blackhawks Agree 12 F 2 15 White Sox Agree 15 M 3 15 Cubs Agree 16 F 2 15 Cubs Agree 17 M 0 40 Strongly Disagree Bears White Sox Agree 20 M 2 10 White Sox Strongly Agree 21 M 2 15 Bears Agree 22 M 2 12 Bears Disagree 23 F 3 15 none Agree 24 F 3 15 Bears Strongly Agree 25 M 4 30 Bears Disagree 26 F 2 35 White Sox No Opinion 27 M 2 25 Cubs Strongly Agree Disagree Wolves Strongly Agree 30 F 2 20 Bears Agree 31 F 2 12. s Cubs Strongly Agree 32 M 2 30 Blackhawks Strongly Agree 133 M 4 60 Cubs No Opinion 34 F 2 45 Bulls Strongly Agree 135 M 6 Bulls No Opinion White Sox Strongly Disagree 137 F 3 10 Blackhawks Agree 38 F 3 12 Wolves Agree 39 M 3 26 Blackhawks Strongly Agree 40 F 3 30 Blackhawks Agree

Explanation / Answer

Independence Hypothesis Test

The wording should indicate that we are testing whe

ther two categorical variables are related.

The claim often contains the word -independent.

1. H0: Gender is independent of opinion on whether or not Trump should be impeached.

H1:Gender is dependent of opinion on whether or not Trump should be impeached.

= 0.05

chi-square independence test

CHISQUARE TEST STATISTICS: summation( (O — E)2/ E)

o=observed values

E=expected values

Chi Square = 11.44, P-value = 0.0033

since the p-value is less than the significance level 0.05 and chi square test statistic is more than the crtical value from table 3.37 we reject null hyothesis.

There is sufficient evidence to conclude that gender opinion is dependent.

AGREE STRONGLY AGREE DISAGREE STRONGLY DISAGREE NO OPINION MALE 6 5 4 1 2 18 FEMALE 13 5 1 0 3 22

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