perform a chi squared test to see whether there is evidence of a significant dif

Question

perform a chi squared test to see whether there is evidence of a significant difference among all the different countries mentioned with respect to the proportion of companies who have at least one female director on their boards. Use 0.05 significance level.

Question 5

What is the p-value of this chi-squared test? (please answer to at least 4 decimal places)

Question 6

We reject the null hypothesis.

Select one:

True

False

Question 7

What is the conclusion of the chi square test?

Select one:

a. There is evidence of a significant relationship between the age group and where people primarily get their news.

b. There is not enough evidence of a significant relationship between the age group and where people primarily get their news.

Question 8

Why did you come to this conclusion? Be specific about the decision rule you used.

Consumer research firm Scarborough analyzed the 10% of American adults who are either Super-banked" or "Unbanked." Superbanked consumers are defined as U.S. adults who live in household that has multiple asset accounts at financial institutions, as well as some additional investments; Unbanked consumers are U.S. adults who live in a household that does not use a bank or credit union. By finding the 5% of Americans who are Superbanked, Scarborough identifies financially savvy consumers who might be open to diversifying their financial portfolios by identifying the Unbanked, Scarborough provides insight into the ultimate prospective client fo banks and financial institutions. As part of its analysis, Scarborough reported that 93% of Super banked consumers use credit cards as compared to 23% of Unbanked consumers. (Data extracted from bit.ly/Syi9kN.) Suppose that these results were based on 1,000 Superbanked consumers and 1,000 Unbanked consumers.

Explanation / Answer

Question 5

What is the p-value of this chi-squared test? (please answer to at least 4 decimal places)

The p value is very less, and almost close to zero

Question 6

We reject the null hypothesis.

Select one:

True, as the p value is less than 0.01 we reject the null hypothesis, Please note that we reject the null hypothesis only if the p value calculates is less than the alpha value , which is less than 0.01 in this case

False

Question 7

What is the conclusion of the chi square test?

as the p value is less and we rejected the null hypothesis then it means that a significant difference among all the different countries mentioned with respect to the proportion of companies who have at least one female director on their boards

Select one:

a. There is evidence of a significant relationship between the age group and where people primarily get their news.

as we rejected the null hypothesis , hence we have enough evidence to conclude that the 2 categorical variables are related and are not independent

b. There is not enough evidence of a significant relationship between the age group and where people primarily get their news.

Question 8

Why did you come to this conclusion? Be specific about the decision rule you used.

As the p value is less than 0.05 , and we have safely rejected the null hypothesis in favor of alternate hypothesis hence we can conclude that there is evidence of a significant difference among all the different countries mentioned with respect to the proportion of companies who have at least one female director on their boards

SuperBanked Unbanked Totals Credit Card 930 230 1160 No credit card 70 770 840 Total 1000 1000 2000 SuperBanked Unbanked Totals Credit Card 580 580 1160 No credit card 420 420 840 Total 1000 1000 2000 Chi square test 1.0117E-220

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