Many high school students take the AP tests in different subject areas. In one year, of the 144,270 students who took the biology exam 84,394 of them were female. In that same year, of the 210,501 students who took the calculus AB exam 122,674 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 10% 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. O Since the p-value is less than .10, reject Ho. O Since the p-value is less than .10, fail to reject Ho. O Since the p-value is greater than .10, fail to reject Ho. O Since the p-value is greater than .10, reject Ho. Interpret the results. O At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam. O At the 10% 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. O At the 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam. O At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam. O At the 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam. O At the 10% 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.
Many high school students take the AP tests in different subject areas. In one year, of the 144,270 students who took the biology exam 84,394 of them were female. In that same year, of the 210,501 students who took the calculus AB exam 122,674 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 10% 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. O Since the p-value is less than .10, reject Ho. O Since the p-value is less than .10, fail to reject Ho. O Since the p-value is greater than .10, fail to reject Ho. O Since the p-value is greater than .10, reject Ho. Interpret the results. O At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam. O At the 10% 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. O At the 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam. O At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam. O At the 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam. O At the 10% 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Many high school students take the AP tests in different subject areas. In one year, of the 144,270 students who took the biology exam, 84,394 of them were female. In that same year, of the 210,501 students who took the calculus AB exam, 122,674 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 10% level.
State the hypotheses.
\[ H_0: p_1 = p_2 \]
\[ H_a: p_1 > p_2 \]
Calculate the test statistics. Round to four decimal places.
\[ \hat{p}_1 = \]
\[ \hat{p}_2 = \]
Calculate the standardized test statistic. Round three decimal places.
\[ z = \]
Find the p-value. Round to four decimal places.
\[ \text{p-value} = \]
State your decision.
- ○ Since the p-value is less than .10, reject \( H_0 \).
- ○ Since the p-value is less than .10, fail to reject \( H_0 \).
- ○ Since the p-value is greater than .10, fail to reject \( H_0 \).
- ○ Since the p-value is greater than .10, reject \( H_0 \).
Interpret the results.
- ○ At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam.
- ○ At the 10% 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 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam.
- ○ At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam.
- ○ At the 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c7e51fb-93c3-4f08-9e0c-24bda278d166%2F678f6271-aa05-4d89-93e1-179c120c6a84%2Ffb1t992_processed.png&w=3840&q=75)
Transcribed Image Text:Many high school students take the AP tests in different subject areas. In one year, of the 144,270 students who took the biology exam, 84,394 of them were female. In that same year, of the 210,501 students who took the calculus AB exam, 122,674 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 10% level.
State the hypotheses.
\[ H_0: p_1 = p_2 \]
\[ H_a: p_1 > p_2 \]
Calculate the test statistics. Round to four decimal places.
\[ \hat{p}_1 = \]
\[ \hat{p}_2 = \]
Calculate the standardized test statistic. Round three decimal places.
\[ z = \]
Find the p-value. Round to four decimal places.
\[ \text{p-value} = \]
State your decision.
- ○ Since the p-value is less than .10, reject \( H_0 \).
- ○ Since the p-value is less than .10, fail to reject \( H_0 \).
- ○ Since the p-value is greater than .10, fail to reject \( H_0 \).
- ○ Since the p-value is greater than .10, reject \( H_0 \).
Interpret the results.
- ○ At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam.
- ○ At the 10% 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 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam.
- ○ At the 10% level of significance, there is enough evidence to show that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam.
- ○ At the 10% level of significance, there is not enough evidence to show that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam
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