Question

In Milwaukee, they randomly sampled 280 female voters, and 220 male voters. They collected data on the respondent's opinion on building a new sports stadium. We want to know whether there is good evidence that one's gender influences whether a person is for or against the new stadium. Use αα = 0.05.

	For Bond Issue	Against Bond Issue	Total
Men	77	203	280
Women	14	206	220
Total	91	409	500

a) What is the correct null hypothesis?

• HoHo: p1=p2=p3=p4p1=p2=p3=p4
• HoHo: p1≠p2≠p3≠p4p1≠p2≠p3≠p4
• HoHo: Gender and Stadium Attitudes are dependent.
• HoHo: Gender and Stadium Attitudes are Independent.

b) Fill in the expected values, round answers to 1 decimal place.

Expected Values	For Stadium	Against Stadium
Men
Women

c) Chi Square Test Statistic =  1 decimal place

Degree's of Freedom =  

d) The p-value =    3 decimal places

e) What is the correct conclusion?

• Because the p-value is less than alpha, we fail to reject the Ho. There is not enough statistical evidence to prove that attitudes on the stadium are dependent on gender.
• Because the p-value is greater than alpha, we fail to reject the Ho. There is not enough statistical evidence to prove that attitudes on the stadium are dependent on gender.
• Because the p-value is less than alpha, we reject the Ho. There is statistical evidence that attitudes on the stadium are dependent on gender.
• Because the p-value is greater than alpha, we reject the Ho. There is statistical evidence that attitudes on the stadium are dependent on gender.

Answer 1

Using excel<data<megastat<chi square

		For Bond Issue	Against Bond Issue	Total
Men	Observed	77	203	280
	Expected	50.96	229.04	280.00
Women	Observed	14	206	220
	Expected	40.04	179.96	220.00
Total	Observed	91	409	500
	Expected	91.00	409.00	500.00
		37.0	chi-square
		1	df
		1.20E-09	p-value

Please do the comment for any doubt or clarification. Please upvote if this helps you out. Thank You!

a)

Ho: Gender and Stadium Attitudes are dependent.

b)

Expected Values	For stadium	For against stadium
Men	51.0	229.0
Women	40.0	180.0

c) Chi Square Test Statistic = 37.0 decimal place

Degree's of Freedom = 1

d) The p-value = 0.000 ( 3 decimal places)

e) What is the correct conclusion?

Because the p-value is less than alpha, we reject the Ho. There is statistical evidence that attitudes on the stadium are dependent on gender.