Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from 30%. a) Express the null and alternative hypotheses in symbolic form for this claim. Enter your answer as a decimal. For example, if you have 35%, enter 0.35. Remember to enter a zero in front of the decimal point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number. For example, if you have 20%, enter 0.2, not 0.20. Ho: Hai Use the following to enter parameters: Proportion: enter p Mean: enter mu Use the following codes to enter the following symbols: enter >= enter <= # enter != b) Find the test statistic. Round to two decimal places. c) What is the p-value? Round to 4 decimals. P = d) Make a decision base on a 0.01 significance level. Do not reject the null Reject the null e) What is the conclusion?
Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from 30%. a) Express the null and alternative hypotheses in symbolic form for this claim. Enter your answer as a decimal. For example, if you have 35%, enter 0.35. Remember to enter a zero in front of the decimal point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number. For example, if you have 20%, enter 0.2, not 0.20. Ho: Hai Use the following to enter parameters: Proportion: enter p Mean: enter mu Use the following codes to enter the following symbols: enter >= enter <= # enter != b) Find the test statistic. Round to two decimal places. c) What is the p-value? Round to 4 decimals. P = d) Make a decision base on a 0.01 significance level. Do not reject the null Reject the null e) What is the conclusion?
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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![Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from
30%.
a) Express the null and alternative hypotheses in symbolic form for this claim. Enter your answer as a
decimal. For example, if you have 35%, enter 0.35. Remember to enter a zero in front of the decimal
point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number.
For example, if you have 20%, enter 0.2, not 0.20.
Ho:
Hai
Use the following to enter parameters:
Proportion: enter p
Mean: enter mu
Use the following codes to enter the following symbols:
enter >=
enter <=
# enter !=
b) Find the test statistic. Round to two decimal places.
c) What is the p-value? Round to 4 decimals.
P =
d) Make a decision base on a 0.01 significance level.
Do not reject the null
Reject the null
e) What is the conclusion?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee710977-90c8-4f84-9cb1-1102aa3efb9b%2Fe2e01ca6-0d5e-40b4-bb09-ed97caa10974%2Fsrzouo.jpeg&w=3840&q=75)
Transcribed Image Text:Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from
30%.
a) Express the null and alternative hypotheses in symbolic form for this claim. Enter your answer as a
decimal. For example, if you have 35%, enter 0.35. Remember to enter a zero in front of the decimal
point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number.
For example, if you have 20%, enter 0.2, not 0.20.
Ho:
Hai
Use the following to enter parameters:
Proportion: enter p
Mean: enter mu
Use the following codes to enter the following symbols:
enter >=
enter <=
# enter !=
b) Find the test statistic. Round to two decimal places.
c) What is the p-value? Round to 4 decimals.
P =
d) Make a decision base on a 0.01 significance level.
Do not reject the null
Reject the null
e) What is the conclusion?
![Counts and Percentages: Elementary School
Count
Percentage
Sample Proportion
0.300874
Anderson
Std Error
Alternative Hypothesis Ha: Proportion of 'Anderson' is greater than 0.3
Standardized Obs
Stat
0.0161917
Data Summary
241
30.08739
Test of Hypothesis: Elementary School
Method: Large Sample z Test (Using po)
Observed Data Scale
0.0539725
Test is not significant at 1% level.
Bayes Factor Bound (BFB): The data imply the odds in favor of
the alternative hypothesis is at most 1 to 1, relative to the null hypothesis.
1% z-Upper Critical
Others
Null density (in units of data): Normal; mean = 0.3, sd = 0.016192
Alternative Hypothesis Ha: Proportion of 'Anderson' is greater than 0.3
P-value Graph: Large Sample z (Using po)
Observed Sample Prop = 0.30087
P-value = 0.47848
2.32635
69.91261
560
P-Value
0.478479
Standard Normal (z) Scale
Total
BFB
Obs z Stat = 0.053972
P-value = 0.47848
801
100
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee710977-90c8-4f84-9cb1-1102aa3efb9b%2Fe2e01ca6-0d5e-40b4-bb09-ed97caa10974%2Fze42o78.jpeg&w=3840&q=75)
Transcribed Image Text:Counts and Percentages: Elementary School
Count
Percentage
Sample Proportion
0.300874
Anderson
Std Error
Alternative Hypothesis Ha: Proportion of 'Anderson' is greater than 0.3
Standardized Obs
Stat
0.0161917
Data Summary
241
30.08739
Test of Hypothesis: Elementary School
Method: Large Sample z Test (Using po)
Observed Data Scale
0.0539725
Test is not significant at 1% level.
Bayes Factor Bound (BFB): The data imply the odds in favor of
the alternative hypothesis is at most 1 to 1, relative to the null hypothesis.
1% z-Upper Critical
Others
Null density (in units of data): Normal; mean = 0.3, sd = 0.016192
Alternative Hypothesis Ha: Proportion of 'Anderson' is greater than 0.3
P-value Graph: Large Sample z (Using po)
Observed Sample Prop = 0.30087
P-value = 0.47848
2.32635
69.91261
560
P-Value
0.478479
Standard Normal (z) Scale
Total
BFB
Obs z Stat = 0.053972
P-value = 0.47848
801
100
1
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