A researcher is interested in testing the claim that the proportion of children (ages 8-12) who like cats more than dogs is greater than the proportion of teenagers (13-19) who like cats more than dogs. A random sample of 53 children and a random sample of 112 teenagers are selected, and each participant is asked if they like cats more than dogs. Difference = Children - Teenagers A 95% confidence interval is created to estimate the difference in the true proportions of children and teenagers who like cats more than dogs. The interval is (0.07, 0.12). Based on this confidence interval, what can you infer about the comparison of the two population proportions? The proportion of children who like cats more than dogs is less than the proportion of teenagers who like cats more than dogs. The proportion of children who like cats more than dogs is greater than the proportion of teenagers who like cats more than dogs. The proportion of children who like cats more than dogs is the same as the proportion of teenagers who like cats more than dogs. There is not enough information to make any inference regarding the difference of the two proportions.

A researcher is interested in testing the claim that the proportion of children (ages 8-12) who like cats more than dogs is greater than the proportion of teenagers (13-19) who like cats more than dogs. A random sample of 53 children and a random sample of 112 teenagers are selected, and each participant is asked if they like cats more than dogs. Difference = Children - Teenagers A 95% confidence interval is created to estimate the difference in the true proportions of children and teenagers who like cats more than dogs. The interval is (0.07, 0.12). Based on this confidence interval, what can you infer about the comparison of the two population proportions? The proportion of children who like cats more than dogs is less than the proportion of teenagers who like cats more than dogs. The proportion of children who like cats more than dogs is greater than the proportion of teenagers who like cats more than dogs. The proportion of children who like cats more than dogs is the same as the proportion of teenagers who like cats more than dogs. There is not enough information to make any inference regarding the difference of the two proportions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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