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 = State your decision. O Since the p-value is less than .05, reject Ho. ◇ Since the p-value is greater than .05, reject Ho. O Since the p-value is less than .05, fail to reject Ho. O Since the p-value is greater than .05, fail to reject Ho.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Many high school students take the AP tests in different subject areas. In one year, of the 144,946 students
who took the biology exam 84,442 of them were female. In that same year, of the 214,101 students who
took the calculus AB exam 124, 173 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
Ha: 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 =
State your decision.
◇ Since the p-value is less than .05, reject Ho.
Since the p-value is greater than .05, reject Ho.
Since the p-value is less than .05, fail to reject Ho.
O Since the p-value is greater than .05, fail to reject Ho.
Interpret the results.
At the 5% level of significance, there is enough evidence to show that the proportion of female
students taking the biology exam is not equal to the proportion of female students taking the
calculus AB exam.
O At the 5% level of significance, there is not enough evidence to show that the proportion of female
students taking the biology exam is not equal to the proportion of female students taking the
calculus AB exam.
At the 5% level of significance, there is not enough evidence to show that the proportion of female
Transcribed Image Text:Many high school students take the AP tests in different subject areas. In one year, of the 144,946 students who took the biology exam 84,442 of them were female. In that same year, of the 214,101 students who took the calculus AB exam 124, 173 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 Ha: 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 = State your decision. ◇ Since the p-value is less than .05, reject Ho. Since the p-value is greater than .05, reject Ho. Since the p-value is less than .05, fail to reject Ho. O Since the p-value is greater than .05, fail to reject Ho. Interpret the results. At the 5% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is not equal to the proportion of female students taking the calculus AB exam. O At the 5% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is not equal to the proportion of female students taking the calculus AB exam. At the 5% level of significance, there is not enough evidence to show that the proportion of female
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