Question

1. A researcher claims that the mean rate of Infant mortality in the City of Chicago is below 9.3 %. Based on the data represented for the years 2005 – 2011, perform a hypothesis test to test his claim using a significance level of α= 0.10.

2.Would your conclusion change for question 1 if you used a significance level of α= 0.05? Explain.

Data:

community Area Name	Infant Mortality Rate
Rogers Park	6.4
West Ridge	5.1
Uptown	6.5
Lincoln Square	3.8
North Center	2.7
Lake View	2.2
Lincoln park	2.4
Near North Side	6.5
Edison Park	4.6
Norwood Park	4.4
Jefferson Park	8.3
Forest Glen	3.8
North Park	5.4
Albany Park	4.9
Portage Park	4.7
Irving Park	5.3
Dunning	4.9
Montclaire	4.6
Belmont Cragin	5.6
Hermosa	9.3
Avondale	5.7
Logan Square	4.3
Humboldt Park	9.8
West town	5.1
Austin	13.3
West Garfield Park	19
East Garfield Park	11
Near West side	9.1
North Lawndale	14.1
South Lawndale	5.9
Lower West Side	5.4
Loop	5.7
Near South Side	4.8
Armour Square	1.5
Douglas	13.4
Oakland	8.2
Fuller Park	22.6
Grand Boulevard	12.1
Kenwood	8.9
Washington Park	19.3
Hyde Park	10.4
Woodlawn	11.5
South Shore	11.4
Chatham	10.9
Avalon Park	11.4
South Chicago	17.7
Burnside	13
Calumet Heights	13.9
Roseland	9.6
Pullman	13.6
South Deering	11.8
East Side	3.7
West Pullman	11.9
Riverdale	8.7
Hegewisch	8.4
Garfield Ridge	4.5
Archer Heights	5.2
Brighton Park	5.9
McKinley Park	7.3
Bridgeport	8
New City	7.9
West Elsdon	8.1
Gage Park	5.4
Clearing	6.7
West Lawn	8.4
Chicago Lawn	11.1
West Englewood	13.3
Englewood	13.4
Greater Grand Crossing	14.2
Ashburn	10.2
Auburn Gresham	15.6
Beverly	10
Washington Heights	11.2
Mount Greenwood	3.3
Morgan Park	13.1
O'Hare	2
Edgewater	6.9

Please show work. Thank you :)

Answer 1

We have to test the hypothesis ,

Ho:The mean rate of infant mortality in the city of Chicago is below 9.3℅.

Vs

H1: The mean rate of infant mortality in the city of Chicago is not below 9.3℅.ie. above 9.3℅.