The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting. In USE SALT Do the sample data support the authors' conclusion that the proportion of the country's boys who listen music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use Phovs - Peirde: Round your test statistic to two decimal places and your P-value to four decimal places.) 2= 2.8579 p-value = 0.0021 State your conclusion. O we reject Hg: We have convincing evidence that the proportion of the country's boys who listen to music high volume is greater than the proportion of the country's girls who listen to music at high volume. O we fail to reject Hg. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. O we reject Hg. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. Ov O We fail to reject Hg. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.

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The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always
listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.
n USE SALT
Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use phove - Peirle: Round
your test statistic to two decimal places and your P-value to four decimal places.)
z = 2.8579
P-value = 0.0021
State your conclusion.
O we reject Ho: We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
O we fail to reject H,. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
O we reject H,: We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
O we fail to reject H. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
Transcribed Image Text:The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting. n USE SALT Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use phove - Peirle: Round your test statistic to two decimal places and your P-value to four decimal places.) z = 2.8579 P-value = 0.0021 State your conclusion. O we reject Ho: We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. O we fail to reject H,. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. O we reject H,: We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. O we fail to reject H. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
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