1. Write the following in interval notation:6 (5x-8) +6 < 5 (6x-9) + 4x

2. 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 74 stocks traded on the NYSE that day showed that 28 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of=0.001=0.001. What is the sample statistic, the point estimate, for this sample? (Report answer accurate to three decimal places.) p^= ______________

The p-value for this sample is 0.0706. This p-value leads to a decision to...

a). reject the null

b). accept the null

c). fail to reject the null

As such, the final conclusion in context is that...

a). There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3.

b). There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3.

c). The sample data support the claim that the proportion of stocks that went up is more than 0.3

d). There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3.

3. Express the confidence interval(57.4%,67%)in the form ofp^margin of error.

_________ % __________ %

Write your answers as percent, without the percent symbol, to 1 decimal place.

4. The results of a poll were that 159 of 331 Americans decided not to go to college because they could not afford it. (a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it and interpret the interval in context.

lower bound: ____________ (please round to 3 decimal places)

upper bound: _____________ please round to 3 decimal places)Interpret the confidence interval in context:

Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend? Use these z*

90% 1.65

95% 1.96

98% 2.33

99% 2.58

A survey should include at least__________ people.

5. Assume that a sample is used to estimate a population proportionp. Find the 95% confidence interval for a sample of size 387 with 170 successes. Enter your answer as an interval using decimals (not percent's) accurate to three decimal places.

(___________ . _________)

6. In a randomly selected sample of 1105 individuals in a state, 751 were in favor of expanding background checks for gun ownership. Construct a 95% confidence interval for the proportion of all individuals in favor of expanding background checks in this state. a)p= _____________

Round to 4 decimal places, if needed.Check requirements:

7.. Approximately Normal because the sample sizen30. In a randomly selected sample of 1133 citizens who are registered to vote in the U.S., 516 were satisfied with the job the Supreme Court was doing. Construct a 99% confidence interval for the proportion of all citizens who are registered to vote in the U.S. who are satisfied with the job the Supreme Court was doing. a) p=___________Round to 4 decimal places, if needed.Check requirements: