Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price. On the basis of this fact, a financial analyst claims we can assume that 55% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 79 stocks traded on the NYSE that day showed that 48 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 55%. You use a significance level of a = 0.025. 1. For this study, we should use Select an answer 2. The null and alternative hypotheses would be: Họ: ? Select an answer (please enter a decimal) H1: ? Select an answer v (Please enter a decimal) 3. The test statistic = (please show your answer to 3 decimal places.) 4. The p-value - (Please show your answer to 4 decimal places.) 5. The p-value is [? v a 6. Based on this, we should Select an answer v the null hypothesis. 7. As such, the final conclusion is that ... O The sample data suggest that the populaton proportion is significantly different from 55% at a = 0.025, so there is sufficient evidence to conclude that the proportion of stocks that went up is different from 55% O The sample data suggest that the population proportion is not significantly different from 55% at a = 0.025, so there is not sufficient evidence to conclude that the proportion of stocks that went up is different from 55%.
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price. On the basis of this fact, a financial analyst claims we can assume that 55% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 79 stocks traded on the NYSE that day showed that 48 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 55%. You use a significance level of a = 0.025. 1. For this study, we should use Select an answer 2. The null and alternative hypotheses would be: Họ: ? Select an answer (please enter a decimal) H1: ? Select an answer v (Please enter a decimal) 3. The test statistic = (please show your answer to 3 decimal places.) 4. The p-value - (Please show your answer to 4 decimal places.) 5. The p-value is [? v a 6. Based on this, we should Select an answer v the null hypothesis. 7. As such, the final conclusion is that ... O The sample data suggest that the populaton proportion is significantly different from 55% at a = 0.025, so there is sufficient evidence to conclude that the proportion of stocks that went up is different from 55% O The sample data suggest that the population proportion is not significantly different from 55% at a = 0.025, so there is not sufficient evidence to conclude that the proportion of stocks that went up is different from 55%.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Transcribed Image Text:Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good
barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA
increased in price.
On the basis of this fact, a financial analyst claims we can assume that 55% of the stocks traded on the New
York Stock Exchange (NYSE) went up the same day. A sample of 79 stocks traded on the NYSE that day
showed that 48 went up. You are conducting a study to see if the proportion of stocks that went up is
significantly different from 55%. You use a significance level of a = 0.025.
1. For this study, we should use Select an answer
2. The null and alternative hypotheses would be:
Ho:? v Select an answer v
(please enter a decimal)
Hi:? vSelect an answer v
(Please enter a decimal)
3. The test statistic
(please show your answer to 3 decimal places.)
4. The p-value =
(Please show your answer to 4 decimal places.)
5. The p-value is ? va
6. Based on this, we should Select an answer v the null hypothesis.
7. As such, the final conclusion is that ...
O The sample data suggest that the populaton proportion is significantly different from 55% at a
= 0.025, so there is sufficient evidence to conclude that the proportion of stocks that went up
is different from 55%
O The sample data suggest that the population proportion is not significantly different from 55%
at a = 0.025, so there is not sufficient evidence to conclude that the proportion of stocks that
went up is different from 55%.
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