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A study claims that girls and boys do not do equally well on math tests taken from the 2nd to 11th grades (Chicago Tribune, July 25, 2008). Suppose in a representative sample, 344 of 430 girls and 369 of 450 boys score at proficient or advanced levels on a standardized math test. (You may find it useful to reference the appropriate table: z table or t table) Let p1 represent the population proportion of girls and p2 the population proportion of boys. a. Construct the 95% confidence interval for the difference between the population proportions of girls and boys who score at proficient or advanced levels. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)   b. Select the appropriate null and alternative hypotheses to test whether the proportion of girls who score at proficient or advanced levels differs from the proportion of boys. multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0 H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0 H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0 c. At the 5% significance level, what is the conclusion to the test? Do the results support the study’s claim? multiple choice 2 Reject H0; the study's claim is supported by the sample data. Reject H0; the study's claim is not supported by the sample data. Do not reject H0; the study's claim is supported by the sample data. Do not reject H0; the study's claim is not supported by the sample data.

A study claims that girls and boys do not do equally well on math tests taken from the 2nd to 11th grades (Chicago Tribune, July 25, 2008). Suppose in a representative sample, 344 of 430 girls and 369 of 450 boys score at proficient or advanced levels on a standardized math test. (You may find it useful to reference the appropriate table: z table or t table) Let p1 represent the population proportion of girls and p2 the population proportion of boys. a. Construct the 95% confidence interval for the difference between the population proportions of girls and boys who score at proficient or advanced levels. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)   b. Select the appropriate null and alternative hypotheses to test whether the proportion of girls who score at proficient or advanced levels differs from the proportion of boys. multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0 H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0 H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0 c. At the 5% significance level, what is the conclusion to the test? Do the results support the study’s claim? multiple choice 2 Reject H0; the study's claim is supported by the sample data. Reject H0; the study's claim is not supported by the sample data. Do not reject H0; the study's claim is supported by the sample data. Do not reject H0; the study's claim is not supported by the sample data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A study claims that girls and boys do not do equally well on math tests taken from the 2nd to 11th grades (Chicago Tribune, July 25, 2008). Suppose in a representative sample, 344 of 430 girls and 369 of 450 boys score at proficient or advanced levels on a standardized math test. (You may find it useful to reference the appropriate table: z table or t table)

Let p1 represent the population proportion of girls and p2 the population proportion of boys.

a. Construct the 95% confidence interval for the difference between the population proportions of girls and boys who score at proficient or advanced levels. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

 


b. Select the appropriate null and alternative hypotheses to test whether the proportion of girls who score at proficient or advanced levels differs from the proportion of boys.

multiple choice 1
  • H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
  • H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
  • H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0


c. At the 5% significance level, what is the conclusion to the test? Do the results support the study’s claim?

multiple choice 2
  • Reject H0; the study's claim is supported by the sample data.
  • Reject H0; the study's claim is not supported by the sample data.
  • Do not reject H0; the study's claim is supported by the sample data.
  • Do not reject H0; the study's claim is not supported by the sample data.

 

 
 
 
 
 
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