College-MTH 241-Fall17-SMITH Activities and Due Dates HW Topic 13-Confidence Int

Question

College-MTH 241-Fall17-SMITH Activities and Due Dates HW Topic 13-Confidence Intervals Pt 2 Give Up? | nt Score: 88.9% Resources ’ Hint stion 14 of 20 Alejandra wishes to estimate the proportion of female students in her middle school who wear make-up to school. She waits in the bathroom half an hour before the first bell and counts 24 girls, of which 15 are wearing make-up. She then computes a 95% confidence interval for the proportion of all female students in her middle school who wear make-up to school. Form her conclusion by placing the phrases in order to make a statistically correct sentence Beginning of sentence

Explanation / Answer

Alejandra is 95% sure that the proportion of all female students in her middle school who wear make up 43% and 82%

n 24 p 0.625 z-value of 95% CI 1.9600 SE = sqrt(p*(1-p)/n) 0.09882 ME = z*SE 0.19369 Lower Limit = p - ME 0.43131 Upper Limit = p + ME 0.81869 90% CI (0.4313 , 0.8187 )

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