When dating someone, what matters more to you: looks or personality? This question was the focus of a community college student’s class project for an introductory statistics course. She devised a 25-point scale. An answer of 1 means “personality matters most and looks don’t matter at all.” A score of 25 means “looks matter most and personality does not matter at all.” Her hypothesis is that the mean scores for males and females will differ, but she does not have an opinion about which population will have a higher mean score. Here are her hypotheses. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 She chose a random sample of 10 classes from the schedule at Los Medanos College and distributed surveys in those classes. We used her data to run a hypothesis test for a difference in two population means. Here are the results: t df p Cohen's d Gender -4.11 168 0.0000 -0.629 NOTICE: The t-statistic calculated by hand was -4.13 and the t-statistic JASP calculated was -4.11. Did something go wrong? No. Expect some rounding error in by hand calculations. Which is the better estimate ours or JASP? JASP - it's working with numerical values that are more precise and it does not round at intermediate steps. The p-value is 0.0000. Yikes! Is something wrong here? No. If a p-value is so small that it's less than 0.0000 then the software will report 0.0000 as the p-value. What's less than 0.0000? p = 0.0000001 or p = 6.097e -6. The probability of an event happening can never be exactly equal to 0, but it can be so small that it is less than 0.0000. Identify the P-value from the print-out of the results. Which conclusion do the results support? Group of answer choices a) The results are inconclusive because she did not state a level of significance. b) Reject the null hypothesis and accept the alternative hypothesis. c) Fail to reject the null hypothesis. There is not enough evidence to accept the alternative hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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When dating someone, what matters more to you: looks or personality? This question was the focus of a community college student’s class project for an introductory statistics course. She devised a 25-point scale. An answer of 1 means “personality matters most and looks don’t matter at all.” A score of 25 means “looks matter most and personality does not matter at all.” Her hypothesis is that the mean scores for males and females will differ, but she does not have an opinion about which population will have a higher mean score.

Here are her hypotheses.

H₀: μ₁ − μ₂ = 0
H_a: μ₁ − μ₂ ≠ 0

She chose a random sample of 10 classes from the schedule at Los Medanos College and distributed surveys in those classes. We used her data to run a hypothesis test for a difference in two population means. Here are the results:

	t	df	p	Cohen's d
Gender	-4.11	168	0.0000	-0.629

NOTICE:

The t-statistic calculated by hand was -4.13 and the t-statistic JASP calculated was -4.11. Did something go wrong? No. Expect some rounding error in by hand calculations. Which is the better estimate ours or JASP? JASP - it's working with numerical values that are more precise and it does not round at intermediate steps.
The p-value is 0.0000. Yikes! Is something wrong here? No. If a p-value is so small that it's less than 0.0000 then the software will report 0.0000 as the p-value. What's less than 0.0000? p = 0.0000001 or p = 6.097e -6. The probability of an event happening can never be exactly equal to 0, but it can be so small that it is less than 0.0000.

Identify the P-value from the print-out of the results. Which conclusion do the results support?

Group of answer choices

a) The results are inconclusive because she did not state a level of significance.

b) Reject the null hypothesis and accept the alternative hypothesis.

c) Fail to reject the null hypothesis. There is not enough evidence to accept the alternative hypothesis.

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