value. (Round your answer to four decimal places.) conclusion. ct 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. 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. ct 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. 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. hat the percentages reported had been based on a sample of 2,100 girls and 2,700 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 hypothe est statistic. (Round your answer to two decimal places.) -value. (Round your answer to four decimal places.) conclusion. ct 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. ct 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. 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. 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. y the hypothesis tests in parts (a) and (b) resulted in different conclusions. are much less likely to get a difference in sample proportions as large as the one given when the samples are very small. 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. 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. are much less likely to get a difference in sample proportions as large as the one given when the samples are very large.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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PLEASE ANSWER ALL THE PARTS OF THE QUESTION ( THIS IS NOT A GRADED ASSIGNMENT)

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.
USE 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.)
Z =
Find the P-value. (Round your answer to four decimal places.)
P-value =
State your conclusion.
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 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 H₂. 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.
(b) Suppose that the percentages reported had been based on a sample of 2,100 girls and 2,700 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 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 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 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 samples are very small.
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
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
sample proportions as large as the one given when the samples are very large.
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. USE 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.) Z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. 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 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 H₂. 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. (b) Suppose that the percentages reported had been based on a sample of 2,100 girls and 2,700 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 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 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 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 samples are very small. 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 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 sample proportions as large as the one given when the samples are very large.
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