In: Statistics and Probability
Astrologers assert that our birth dates influence our success (or lack thereof) in life. Test this assumption with the GSS08 data by analyzing the relationship between ZODIAC (respondents Astrological sign) with SEI ( respondents socioeconomic Index). The SEI is an indicator of economic and socio-economic attainment. The higher the SEI score, the more successful the respondent.
Descriptives
SEI RESPONDENT SOCIOECONOMIC INDEX
Descriptives
SEI RESPONDENT SOCIOECONOMIC INDEX
N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Minimum Maximum
Lower Bound Upper Bound
1 ARIES 160 50.283 19.3850 1.5325 47.256 53.310 17.1 92.3
2 TAURUS 143 51.172 21.2114 1.7738 47.666 54.678 21.2 97.2
3 GEMINI 154 47.747 18.6444 1.5024 44.779 50.716 17.1 92.3
4 CANCER 155 49.794 19.4790 1.5646 46.703 52.885 17.1 96.0
5 LEO 149 47.685 18.9905 1.5558 44.611 50.760 20.1 97.2
6 VIRGO 192 46.320 18.6541 1.3462 43.664 48.975 20.1 92.3
7 LIBRA 166 49.563 19.8984 1.5444 46.514 52.613 17.1 93.3
8 SCORPIO 141 46.579 18.6603 1.5715 43.472 49.686 17.6 89.3
9 SAGITTARIUS 136 47.825 18.7409 1.6070 44.647 51.003 17.1 93.3
10 CAPRICORN 143 49.387 20.5390 1.7176 45.992 52.783 17.1 92.3
11 AQUARIUS 151 46.321 18.7688 1.5274 43.303 49.339 19.4 93.3
12 PISCES 166 50.408 20.0520 1.5563 47.336 53.481 21.2 97.2
Total 1856 48.576 19.4362 .4512 47.691 49.461 17.1 97.2
ANOVA
SEI RESPONDENT SOCIOECONOMIC INDEX
Sum of Squares df Mean
Square F Sig.
Between Groups 5081.581 11
461.962 1.225 .265
Within Groups 695675.468 1844
377.264
Total 700757.049 1855
Make a prediction
Can a person's astrological sign predict their socioeconomic success? yes or no
If so, what zodiac sign is the most successful?
Now perform the analysis using GSS08 data
Mean SEI of Pisces
Mean SEI of Taurus
Mean SEI of your astrological sign
ANOVA significance level
Is the relationship statistically significant? Yes or No
On the basis of these data, would you say that astrologers are correct in their assertion of the power of the stars? Why?
Answer to the question)
yes may be one can tell about the socioeconomic success of other
people and predict it to some extent
Leo seems to be the strongest of all here
The mean ESI values of three zodiacs are shown below:
.
ANOVA signifincance level is 0.265
The F value obtained is: 1.225 with p value or significance level 0.265
Since it is greater than 0.05 , we fail to reject the null hypothesis
Hence we conclude that no the astrologer cannot predict