Many high school students take the AP tests in different subject areas. In one year, of the 144,154 students who took the biology exam 84,175 of them were female. In that same year, of the 219,591 students who took the calculus AB exam 127,895 of them were female. Is there enough evidence to show that the proportion of female students taking the biology exam is higher than the proportion of female students taking the calculus AB exam? Test at the 5% level. State the hypotheses. Ho: P1| P₂ Ho: P1 P2 Calculate the test statistics. Round to four decimal places. P1 = P₂= Calculate the standardized test statistic. Round three decimal places. z= Find the p-value. Round to four decimal places. p-value=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Many high school students take the AP tests in different subject areas. In one year, of the 144,154
students who took the biology exam 84,175 of them were female. In that same year, of the 219,591
students who took the calculus AB exam 127,895 of them were female. Is there enough evidence to
show that the proportion of female students taking the biology exam is higher than the proportion
of female students taking the calculus AB exam? Test at the 5% level.
State the hypotheses.
Ho: P1 =
Ho: P1
O P2
Calculate the test statistics. Round to four decimal places.
P1 =
P₂=
Calculate the standardized test statistic. Round three decimal places.
z =
Find the p-value. Round to four decimal places.
p-value=
Transcribed Image Text:Many high school students take the AP tests in different subject areas. In one year, of the 144,154 students who took the biology exam 84,175 of them were female. In that same year, of the 219,591 students who took the calculus AB exam 127,895 of them were female. Is there enough evidence to show that the proportion of female students taking the biology exam is higher than the proportion of female students taking the calculus AB exam? Test at the 5% level. State the hypotheses. Ho: P1 = Ho: P1 O P2 Calculate the test statistics. Round to four decimal places. P1 = P₂= Calculate the standardized test statistic. Round three decimal places. z = Find the p-value. Round to four decimal places. p-value=
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