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A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. LAUSE SALT (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls-Pboys) Find the test statistic. (Round your answer to two decimal places.) 2= Find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion. O Reject H. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Reject H. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. (b) Suppose that the percentages reported had been based on a sample of 2,050 girls and 2,600 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls Pboys) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion.

A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. LAUSE SALT (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls-Pboys) Find the test statistic. (Round your answer to two decimal places.) 2= Find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion. O Reject H. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Reject H. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. (b) Suppose that the percentages reported had been based on a sample of 2,050 girls and 2,600 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls Pboys) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls - Pboys.) Find the test statistic. (Round your answer to two decimal places.) Z = USE SALT Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Reject Ho. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. (b) Suppose that the percentages reported had been based on a sample of 2,050 girls and 2,600 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls Pboys') Find the test statistic. (Round your answer to two decimal places.) Z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject Ho. We have convincing evidence that the proportion of girls who say that new spapers are boring is different from the proportion of boys who say that newspapers are boring. O Reject Ho. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. (c) Explain why the hypothesis tests in parts (a) and (b) resulted in different conclusions. O You are much less likely to get a difference in sample proportions as large as the one given when the number of boys vs. girls sampled are far apart. O You are much less likely to get a difference in sample proportions as large as the one given when the samples are very large. O You are much less likely to get a difference in sample proportions as large as the one given when the number of boys vs. girls sampled are close together. O You are much less likely to get a difference in sample proportions as large as the one given when the samples are very small.
Transcribed Image Text:A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls - Pboys.) Find the test statistic. (Round your answer to two decimal places.) Z = USE SALT Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Reject Ho. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. (b) Suppose that the percentages reported had been based on a sample of 2,050 girls and 2,600 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls Pboys') Find the test statistic. (Round your answer to two decimal places.) Z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject Ho. We have convincing evidence that the proportion of girls who say that new spapers are boring is different from the proportion of boys who say that newspapers are boring. O Reject Ho. We have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. (c) Explain why the hypothesis tests in parts (a) and (b) resulted in different conclusions. O You are much less likely to get a difference in sample proportions as large as the one given when the number of boys vs. girls sampled are far apart. O You are much less likely to get a difference in sample proportions as large as the one given when the samples are very large. O You are much less likely to get a difference in sample proportions as large as the one given when the number of boys vs. girls sampled are close together. O You are much less likely to get a difference in sample proportions as large as the one given when the samples are very small.
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