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
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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?
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
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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