Question

In: Statistics and Probability

Astrologers assert that our birth dates influence our success (or lack thereof) in life. Test this...

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?

Solutions

Expert Solution

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


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