In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes. He: p = 0.45; HA: P < 0.45. a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic a-2. Find the p-value. p-value < 0.01 0.01 s p-value < 0.025 2 0.025 s p-value < 0.05 0.05 s p-value < 0.10 p-value > 0.10 a-3. At the 5% significance level, What is the conclusion? Reject He since the p-value is greater than significance level. Reject He since the p-value is smaller than significance level. Do not reject He since the p-value is greater than significance level. Do not reject He since the p-value is smaller than significance level. We conclude that the population mean is less than 0.45. We cannot a-4. Interpret the results at a = 0.05.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes.
He: p = 0.45; HA: P < 0.45.
a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal
places.)
Test statistic
a-2. Find the p-value.
p-value < 0.01
0.01 s p-value < 0.025
2
0.025 s p-value < 0.05
0.05 s p-value < 0.10
p-value > 0.10
a-3. At the 5% significance level, What is the conclusion?
Reject He since the p-value is greater than significance level.
Reject He since the p-value is smaller than significance level.
Do not reject He since the p-value is greater than significance level.
Do not reject He since the p-value is smaller than significance level.
We conclude that the population mean is less than 0.45.
We cannot conclude that the population mean is less than 0.45.
We conclude that the population proportion is less than 0.45.
We cannot conclude that the population proportion is less than 0.45.
a-4. Interpret the results at
a = 0.05.
Transcribed Image Text:In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes. He: p = 0.45; HA: P < 0.45. a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic a-2. Find the p-value. p-value < 0.01 0.01 s p-value < 0.025 2 0.025 s p-value < 0.05 0.05 s p-value < 0.10 p-value > 0.10 a-3. At the 5% significance level, What is the conclusion? Reject He since the p-value is greater than significance level. Reject He since the p-value is smaller than significance level. Do not reject He since the p-value is greater than significance level. Do not reject He since the p-value is smaller than significance level. We conclude that the population mean is less than 0.45. We cannot conclude that the population mean is less than 0.45. We conclude that the population proportion is less than 0.45. We cannot conclude that the population proportion is less than 0.45. a-4. Interpret the results at a = 0.05.
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