A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1023 and x=546 who said "yes". Use a 99% confidence level.

A) Find the best point estimate of the population P. (Round to three decimal places as needed)

B) Identify the value of margin of error E. ________ (Round to four decimal places as needed)

C) Construct a confidence interval. ___ < p <. (Round to three decimal places as needed)

D) Write a statement that correctly interprets the confidence interval. Choose the correct answer below

ONLY SPSS

In this week’s assignment, you will explore the different types of graphs used to visualize data. Results from SPSS should be copied and pasted into a Word document for submission.

Each graph must contain a narrative description of what it represents and an interpretation of the image. Please use the provided datasets for building these figures.

1. Pie chart
2. Bar chart
3. Scatterplot
4. Histogram

Data is

1. Explain, what type of data would it be most appropriate to use a mean and what type of data would it be most appropriate to use a proportion?
2. We typically use the t distribution when working with means, and yet we always use the normal (z) distribution when working with proportions. Try to explain in your own words why this is the case.
3. Write TWO situations: (a) one that can be answered using a z-interval for a proportion, (b) one that can be answered using a t-interval for a mean.

The mean amount of time that a randomly selected mouse finds its way out of a maze is 18 seconds. A researcher thought that a loud noise would make the mouse to finish the maze faster (her theory). She conducted an experiment to test her theory by placing a mouse in the maze and measuring how long it takes to finish the maze with a loud noise as stimulus. She randomly sampled 25 mice and measured their times. The average was found to be 16.8 seconds. Assume that the standard deviation of the population of mice is 4.4 seconds. Conduct a test (her theory) at a 5% significance level.

(explanation please)

(a) Check the required conditions for a hypothesis test to determine if they are satisfied.

(b) Describe, in words, what ?? would represent in this case and state the hypotheses (??0, ????) using ??.

(c) Calculate the test statistic and the p-value. (d) Determine whether we reject the null hypothesis OR fail to reject the null hypothesis at a 5% significance level.

(e) Write an appropriate conclusion in the context of the problem.

(f) If we use a 10% significance level (instead of using a 5% significance level), would we still reject the null hypothesis OR fail to reject the null hypothesis?

1.Stephen is a basketball player who makes 82 % of his free throws over the course of a season. Each day, Stephen shoots 70 free throws during practice. Assume that each day constitutes a simple random sample, SRS, of all free throws shot by Stephen, and that each free throw is independent of the rest. Let the random variable X equal the count of free throws that Stephen makes. Compute the probability that Stephen makes at least 56 free throws using the binomial distribution. Report your answer to at least four decimal places of precision.

2.Using the normal approximation to the binomial, compute this same probability again. First, compute μ X , the mean of X , and report to two decimal places of precision.

a bag contains six apples. four of the apples are good and two of the apples are rotten. an apple is selected at random and is removed from the bag. then a second apple is randomly selected from the apples remaining in the bag. find the probability that:

a.) both of the apples are rotten.

b.) only one of the two apples is good

c.) the first apple is rotten given that the second apple is good

1. A city instituted an educational program that hopefully would reduce the number of violent crimes committed in the city. The program is quite expensive, so the city wants to make sure that it is worthwhile. In the past (before the educational program was tried), the city experienced 5.2 violent crimes per day, on average. A few months after trying the educational program, the city randomly sampled 60 days and found the average of 4.5 violent crimes. Assume that the standard deviation is known to be 2.7 crimes. The city wants to conduct a hypothesis test at a 5% significance level to determine if the data provide convincing evidence that the educational program is effective in reducing violent crimes in the city.

(explanation please)

(a) Check the required conditions for a hypothesis test to determine if they are satisfied.

(b) Describe, in words, what ?? would represent in this case.

(c) State the hypotheses, ??0 and ????, using the parameter ??.

(d) Using the sample data, calculate the test statistic.

(e) Using the test statistic in (d), calculate the p-value.

(f) Using the p-value in (e), determine whether the city would reject the null hypothesis OR fail to reject the null hypothesis at a 5% significance level.

(g) Write an appropriate conclusion in the context of the problem.

A random sample of n = 1,400 observations from a binomial population produced x = 667 successes. You wish to show that p differs from 0.5.

Calculate the appropriate test statistic. (Round your answer to two decimal places.)

z =

Calculate the p-value. (Round your answer to four decimal places.)

p-value =

The salinity, or salt content, in the ocean is expressed in parts per thousand (ppt). The number varies with depth, rainfall, evaporation, river runoff, and ice formation. The mean salinity of the oceans is 35 ppt. Suppose the distribution of salinity is normal and the standard deviation is 0.51 ppt, and suppose a random sample of ocean water from a region in a specific ocean is obtained.

What is the probability that the salinity is more than 36 ppt? (Round your answer to four decimal places.)

_____________

What is the probability that the salinity is less than 33.5 ppt? (Round your answer to four decimal places.)

____________

A certain species of fish can only survive if the salinity is between 33 and 35 ppt. What is the probability that this species can survive in a randomly selected area? (Round your answer to four decimal places.)

____________

Find a symmetric interval about the mean salinity such that 50% of all salinity levels lie in this interval. (Round your answers to four decimal places.)

_________ , __________

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population.) A random sample of six Denver neighborhoods gave the following information: x 29 2 11 17 7 6 y 173 35 132 127 69 53 ?x=72, ?y=589, ?x^2=1340, ?y^2=72,277,?xy=9499 a) draw a scatter diagram for the data b) find x bar, y bar, b and the equation of the least-squares line. Plot the line on the scatter diagram of part (a). c) Find the sample correlation coefficient r and the coefficient of determination. What percentage of the variation in y is explained by the least-squares model? d) Test the claim that the population correlation coefficient p is not zero at the 1% level of significance. e) For a neighborhood with x= 12% change in population in the past few years, predict the change in the crime rate (per 1000 residents) f) verify that Se= 22.5908 g) Find a 80% confidence interval for the change in crime rate when the percentage change in population is x= 12% h) Test the claim that the slope B of the population least-squares line is not zero at the 1% level of significance. I) Find an 80% confidence interval for B and interpret its meaning show all steps and work please for credit

The Bolt Beverages Company must decide whether or not to introduce a new sparkling drink. Management feels that if it pushes through with introducing the sparkling drink, it will yield a profit of $1 million if sales are around 100 million, a profit of $200,000 if sales are around 50 million, or it will lose $2 million if sales are only around 1 million bottles. If Bolt Beverages Company does not market the new sparkling drink, it will suffer a loss of $400,000.

1. The management is taking a pessimistic view. It is to the company's best interest to introduce the new sparkling drink.

ture or false

2. The management is taking a pessimistic view. It is to the company's best interest to introduce the new sparkling drink.

ture or false

3. The management wants to minimize regret. It is to the company's best interest not to introduce the new sparkling drink.

ture or false

4.  Refer to the question above on Bolt Beverages.

The marketing department has found out that:

P (100 million in sales) = 1/3; P(50 million in sales) = 1/2; P(1 million in sales) = 1/6.

Should Bolt Beverages introduce the new sparkling drink?

Yes, introduce the drink. The EMV is approximately $1 million

Yes, introduce the drink. The EMV is approximately $267,000

Yes, introduce the drink. The EMV is approximately $100,000

No, do not introduce the drink. The EMV is approximately ($400,000).

Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below:

A student calculates a linear model
yy =  xx + . (Please show your answers to two decimal places)
Use the model to estimate the cost when number of pages is 471.
Cost = $ (Please show your answer to 2 decimal places.)

Which is an INCORRECT statement regarding the following cross-tabulation table about gender and diagnosis of 20 participants of study A?

Group of answer choices

Approx. 16.6% of the female participants have depression only.

Among the participants who have anxiety only, 75% are male.

There are 12 participants who have anxiety only.

There is no male participant has both depression and anxiety.

40% of the entire study participants are male.

1.Calculate the Chi-Squared value for the observed data

2. Calculate the degree of freedom

3. Find the critical value using the Chi-Square critical value table linked below

For the following estimated slope coefficients and their heteroskedasticity robust standard errors, find the t-statistics for the null hypothesis H0: β1 = 0. Assuming that your sample has more than 100 observations, indicate whether or not you are able to reject the null hypothesis at the 10%, 5%, and 1% level of a one-sided and two-sided hypothesis. (a) 1 = 4.2, SE( 1) = 2.4 (b) 1 = 0.5, SE( 1) = 0.37 (c) 1 = 0.003, SE( 1) = 0.002 (d) 1 = 360, SE(1) = 300