Please see the results of the one sample test and z-scores below and answer the
ID: 2934805 • Letter: P
Question
Please see the results of the one sample test and z-scores below and answer the question(s) below using these results.
The mayor of Chicago was concerned about the teen birth rate in the city (teen births per 1,000 females age 15-19), and had a sample of all neighborhoods analyzed in 2009. The analyst compared the Chicago sample to the national teen birth rate of 22.3. The mayor has asked you to tell him the following:
1. Is Chicago significantly lower than, higher than or equal to the national sample (in other words he wants you to fully interpret the test and what it means, including ALL pertinent statistics).
2. Based on the z-scores, he wants to know the three neighborhoods that he should focus a new teen birth program in, and he wants a full explanation as to how you reached that conclusion.
3. He is running for re-election and wants to know if he should make this a campaign issue. Using stats here, advise him if he should or should not and give him specific data to support your conclusion.
Descriptive Statistics N Minimum Maximum Mean Std. Deviation
Teen Birth Rate 2009 77 1.30 116.90 50.0649 28.09782
Valid N (listwise) 77
One Sample Statistics N Mean Std. Deviation Std. Error Mean
Teen Birth Rate 2009 77 50.0649 28.09782 3.30304
One Sample T Test (Test Value = 22.3)
t df Sig (2-tailed) Mean Difference 95% Confidence Interval of the Difference (lower) Confidence Interval (Higher)
Teen Birth Rate 2009 8.671 76 .000 27.76494 21.3875 34.1424
NEIGHBORHOOD
NEIGHBORHOOD
POPULATION TEEN BIRTH RATE Z Loop 34886 -1.74 Lincoln Park 65069 -1.71 Norwood Park 35971 -1.66 Edison Park 16811 -1.64 Forest Glen 13648 -1.56 Hyde Park 19350 -1.51 Mount Greenwood 19349 -1.51 North Center 48631 -1.48 North Park 17957 -1.41 Beverly 19542 -1.36 Edgewater 54707 -1.24 Lake View 73484 -1.22 O'Hare 2476 -1.22 Armour Square 17399 -1.21 Dunning 33632 -1.07 Kenwood 18453 -0.87 Bridgeport 26707 -0.77 Jefferson Park 38826 -0.76 West Ridge 66006 -0.72 Garfield Ridge 18783 -0.58 Near North Side 81878 -0.57 Douglas 18027 -0.56 Uptown 53300 -0.53 Near West Side 33984 -0.48 Irving Park 38906 -0.46 Ashburn 39479 -0.42 Lincoln Square 46006 -0.42 Clearing 32582 -0.40 Calumet Heights 21188 -0.38 Rogers Park 55733 -0.33 Portage Park 62182 -0.30 Albany Park 59308 -0.20 West Lawn 32968 -0.19 West Elsdon 30882 -0.16 Morgan Park 23105 -0.12 Hegewisch 10339 -0.11 McKinley Park 21354 -0.08 Lower West Side 39656 -0.04 West Town 73375 -0.03 Archer Heights 13140 0.01 Near South Side 21003 0.03 Woodlawn 22253 0.04 East Side 29125 0.10 Oakland 6669 0.16 Grand Boulevard 19602 0.17 Brighton Park 43259 0.29 Gage Park 47506 0.40 Montclaire 30964 0.41 Avondale 47910 0.47 Avalon Park 19641 0.49 Riverdale 8013 0.51 Washington Height 29295 0.53 South Deering 4701 0.54 South Shore 40738 0.56 Logan Square 58982 0.57 Chicago Lawn 44428 0.62 West Pullman 33645 0.63 Pullman 9023 0.63 Belmont Cragin 73113 0.65 Chatham 30543 0.65 Burnside 15175 0.66 Fuller Park 10150 0.68 Hermosa 60406 0.70 South Chicago 26275 0.95 South Lawndale 63898 0.98 Humboldt park 48334 0.99 Roseland 31230 1.05 Austin 68460 1.13 Washington Park 15819 1.16 Auburn Gresham 56763 1.18 Greater Grand Crossing 33560 1.22 East Garfield Park 32667 1.54 New City 28846 1.57 Englewood 26354 1.97 North Lawndale 36802 2.09 West Garfield Park 29009 2.31 West Englewood 39702 2.38Explanation / Answer
1. Is Chicago significantly lower than, higher than or equal to the national sample (in other words he wants you to fully interpret the test and what it means, including ALL pertinent statistics).
The p-value of One Sample T Test is .000 which is less than the significance level (0.05) and the mean difference (27.76494) is positive, we reject the null hypothesis and conclude that the Chicago significantly higher than the national sample.
2. Based on the z-scores, he wants to know the three neighborhoods that he should focus a new teen birth program in, and he wants a full explanation as to how you reached that conclusion.
The maximum z scores is for North Lawndale, West Garfield Park and West Englewood. Large z-scores show that the difference of teen births for these 3 neighborhoods from the national average is largest. So, the mayor should focus on these three neighbourhoods for teen birth program.
3. He is running for re-election and wants to know if he should make this a campaign issue. Using stats here, advise him if he should or should not and give him specific data to support your conclusion.
Looking at minimum value (1.30) and maximum value (116.90) of teen birth rate, the range of of teen birth rate is very large (116.90 - 1.30 = 115.6) and the standard deviation (28.09782) of teen birth rate is high showing that there is large variation among different neighbourhoods. So, the mayor should make this a campaign issue, to focus on neighbourhoods with high teen birth rate and lower down to national average.
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