The table to the right classifies a stock's price change as up, down, or no change for both today's Price and yesterday's prices. Price changes were examined for 111 days. A financial theory states that Change the price change of today for a stock must be independent of yesterday's price change. Test the hypothesis that daily stock price changes for this stock are independent. Let a = 0.025. Price Change Previous Day Up No Change Down Today Up No Change 9 Down 11 18 15 6 16 13 14 Determine the null and alternative hypotheses for the test. Choose the correct answer below. O A. Ho: Today's price change and yesterday's price change are not independent. HA: Today's price change and yesterday's price change are independent. O B. Ho: Today's price change and yesterday's price change have equal proportions. HA: Today's price change and yesterday's price change have non-equal proportions. O C. Ho: Today's price change and yesterday's price change have non-equal proportions. HA: Today's price change and yesterday's price change have equal proportions. O D. Ho: Today's price change and yesterday's price change are independent. HA: Today's price change and yesterday's price change are not independent. Calculate the test statistic. x = (Round to four decimal places as needed.) Calculate the p-value. p-value = (Round to four decimal places as needed.) Determine a conclusion. Choose the correct answer below. O A. Reject Ho. There is insufficient evidence to conclude that today's price change and yesterday's price change are not independent. O B. Reject Ho. There is sufficient evidence to conclude that today's price change and yesterday's price change are not independent. O C. Do not reject Ho. There is sufficient evidence to conclude that today's price change and yesterday's price change are not independent. O D. Do not reject Ho. There is insufficient evidence to conclude that today's price change and yesterday's price change are not independent.

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The table to the right classifies a stock's price change as up, down, or no change for both today's Price
and yesterday's prices. Price changes were examined for 111 days. A financial theory states that Change
the price change of today for a stock must be independent of yesterday's price change. Test the
hypothesis that daily stock price changes for this stock are independent. Let a = 0.025.
Price Change Previous D
Day
Up No Change Down
Today
Up
No Change
11
18
15
9
6
9
Down
16
13
14
Determine the null and alternative hypotheses for the test. Choose the correct answer below.
O A. Ho: Today's price change and yesterday's price change are not independent.
HA: Today's price change and yesterday's price change are independent.
O B. Ho: Today's price change and yesterday's price change have equal proportions.
HA: Today's price change and yesterday's price change have non-equal proportions.
OC. Ho: Today's price change and yesterday's price change have non-equal proportions.
HA: Today's price change and yesterday's price change have equal proportions.
O D. Ho: Today's price change and yesterday's price change are independent.
HA: Today's price change and yesterday's price change are not independent.
Calculate the test statistic.
x = (Round to four decimal places as needed.)
Calculate the p-value.
p-value = (Round to four decimal places as needed.)
Determine a conclusion. Choose the correct answer below.
O A. Reject Ho: There is insufficient evidence to conclude that today's price change and yesterday's price change are not independent.
O B. Reject Ho. There is sufficient evidence to conclude that today's price change and yesterday's price change are not independent.
OC. Do not reject Ho. There is sufficient evidence to conclude that today's price change and yesterday's price change are not independent.
O D. Do not reject Ho. There is insufficient evidence to conclude that today's price change and yesterday's price change are not independent.
Transcribed Image Text:The table to the right classifies a stock's price change as up, down, or no change for both today's Price and yesterday's prices. Price changes were examined for 111 days. A financial theory states that Change the price change of today for a stock must be independent of yesterday's price change. Test the hypothesis that daily stock price changes for this stock are independent. Let a = 0.025. Price Change Previous D Day Up No Change Down Today Up No Change 11 18 15 9 6 9 Down 16 13 14 Determine the null and alternative hypotheses for the test. Choose the correct answer below. O A. Ho: Today's price change and yesterday's price change are not independent. HA: Today's price change and yesterday's price change are independent. O B. Ho: Today's price change and yesterday's price change have equal proportions. HA: Today's price change and yesterday's price change have non-equal proportions. OC. Ho: Today's price change and yesterday's price change have non-equal proportions. HA: Today's price change and yesterday's price change have equal proportions. O D. Ho: Today's price change and yesterday's price change are independent. HA: Today's price change and yesterday's price change are not independent. Calculate the test statistic. x = (Round to four decimal places as needed.) Calculate the p-value. p-value = (Round to four decimal places as needed.) Determine a conclusion. Choose the correct answer below. O A. Reject Ho: There is insufficient evidence to conclude that today's price change and yesterday's price change are not independent. O B. Reject Ho. There is sufficient evidence to conclude that today's price change and yesterday's price change are not independent. OC. Do not reject Ho. There is sufficient evidence to conclude that today's price change and yesterday's price change are not independent. O D. Do not reject Ho. There is insufficient evidence to conclude that today's price change and yesterday's price change are not independent.
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