6. Can professional astrologers reliably determine when a person was born based on their personality? In a 1985 study designed to answer this question, 116 participants filled out questionnaire to determine their personality profiles. Astrologers were then presented with the personality profiles and asked to determine which season (Spring, Summer, Fall, or Winter) that a person was born in. The astrologers in the study were able to pick the correct personality profile 35 times out of 116. If there is really no connection between birth data and personality, we would expect the astrologers to be correct 1/4 of the time just by guessing (if we make the reasonable assumption that one-fourth of the population is born in each season). Perform a one-tailed hypothesis test of the claim that astrologers can match birth seasons to personality profiles better than chance. a. State the null hypothesis in symbols and words. b. State the alternative hypothesis in symbols and words. c. What is the value of your sample statistic, ? ? d. What is the value of the test statistic (z-score) ? e. what is the P-value? f. Draw the appropriate conclusions (whether or not you reject the null hypothesis and the interpretation in context).
6. Can professional astrologers reliably determine when a person was born based on their personality? In a 1985
study designed to answer this question, 116 participants filled out questionnaire to determine their personality
profiles. Astrologers were then presented with the personality profiles and asked to determine which season
(Spring, Summer, Fall, or Winter) that a person was born in. The astrologers in the study were able to pick the
correct personality profile 35 times out of 116. If there is really no connection between birth data and personality,
we would expect the astrologers to be correct 1/4 of the time just by guessing (if we make the reasonable
assumption that one-fourth of the population is born in each season). Perform a one-tailed hypothesis test of the
claim that astrologers can match birth seasons to personality profiles better than chance.
a. State the null hypothesis in symbols and words.
b. State the alternative hypothesis in symbols and words.
c. What is the value of your sample statistic, ? ?
d. What is the value of the test statistic (z-score) ?
e. what is the P-value?
f. Draw the appropriate conclusions (whether or not you reject the null hypothesis and the interpretation in context).
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