Question

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 65 stocks traded on the NYSE that day showed that 15 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α = 0.05 .

What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Incorrect

Answer #1

Solution :

This is the left tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.3

H_{a} : p < 0.3

= x / n = 15 / 65 = 0.2308

P_{0} = 0.3

1 - P_{0} = 0.7

Test statistic = z

=
- P_{0} / [P_{0
*} (1 - P_{0} ) / n]

= 0.2308 - 0.3/ [(0.3 * 0.7) / 65]

= -1.218

**Test statistic = z = -1.218**

**P(z < -1.218) = 0.1116**

**P-value = 0.1116**

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to suggest that

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day.
A sample of 72 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day.
A sample of 53 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day.
A sample of 60 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day.
A sample of 52 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day. A sample of 68 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day. A sample of 64 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day. A sample of 73 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day.
A sample of 69 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day. A sample of 59 stocks...

Many investors and financial analysts believe the Dow Jones
Industrial Average (DJIA) gives a good barometer of the overall
stock market. On January 31, 2006, 9 of the 30 stocks making up the
DJIA increased in price (The Wall Street Journal, February 1,
2006). On the basis of this fact, a financial analyst claims we can
assume that 30% of the stocks traded on the New York Stock Exchange
(NYSE) went up the same day. A sample of 67 stocks...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 4 hours ago

asked 4 hours ago

asked 5 hours ago