Consider two independent binomial experiments In the first one, 40 trials had 10 successes In the second one, 50 trials had 15 successes (a) Is it appropriate to use a normal distribution to approximate the 1 2 distribution Explain (b) Find a 90 confidence interval for p1 p2 (c) Based on the confidence interval you computed, can you be 90 confident that p1 is less than p2 Explain

Question: Consider two independent binomial experiments. In the first one, 40 trials had 10 successes. In the second one, 50 trials had 15 successes. (a) Is

Consider two independent binomial experiments. In the first one, 40 trials had 10 successes. In the second one, 50 trials had 15 successes.
(a) Is it appropriate to use a normal to approximate the 1 - 2 Explain.
(b) Find a 90% confidence interval for p1 - p2.
(c) Based on the confidence interval you computed, can you be 90% confident that p1 is less than p2? Explain.

Step by Step Solution

★★★★★

3.35 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Yes b 025 030 0155 p 1 p 2 025 030 0155 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

785-M-S-S-I (4766).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Is it appropriate to use the normal distribution to approximate the sampling distribution of in the following circumstances? a. n = 50, p = .05 b. n = 75, p = .1 c. n = 250, p = .99

Under what conditions is it appropriate to use the normal approximation to the binomial distribution in constructing the confidence interval for the population proportion?

For the second item, why is it appropriate to expend resources on something that may not happen?

Basic Computation: Confidence Interval for p1 2 p2 Consider two independent binomial experiments. In the first one, 40 trials had 10 successes. In the second one, 50 trials had 15 successes. (a)...

Basic Computation: Confidence Interval for p1 2 p2 Consider two independent binomial experiments. In the first one, 40 trials had 15 successes. In the second one, 60 trials had 6 successes. (a) Check...

Consider two independent binomial experiments. In the first one, 46 trials had 30 successes. In the second one, 44 trials and 30 successes. Find a 95% confidence interval forp1p2. (Round your answers...

Basic Computation: Confi dence Interval for p1 p2 Consider two independent binomial experiments. In the fi rst one, 40 trials had 10 successes. In the second one, 50 trials had 15 successes. (a)...

Basic Computation: Confi dence Interval for p1 p2 Consider two independent binomial experiments. In the fi rst one, 40 trials had 15 successes. In the second one, 60 trials had 6 successes. (a)...

Please answer the following questions using the data set and the regression summary outputs. The first one is for question #10 and the second one is for question #11 Editor Styles Voice Sensitivity...

For the following problem, you will need formulas for binomial experiments. n = the number of independent trials x = the number of successes in n trials 5 = success F = fail p = P(S) = probability of...

Assume that Ed expects his income for this year to decline and his tax liability for this year to be only $15,000. What minimum amount of estimated taxes should Ed pay this year? What problems will...

The equation y=36+18x models the relationship between the height y. In inches, of a typical golden delicious apple tree and the number of years, x, after it was planted. If the equation is graphed in...

A JaraScript closure is created when a . a copy of a function that does not include its lexical environment is made b . a method is created within the constructor function for an object c . a method...

What does the time plot show? Carefully examine the time plot in Figure 1.12. (a) How do the T-bill interest rates vary over time? (b) What can you say about the relationship between the rates and...

Why would anyone study probability? Hint: Most big issues in life involve uncertainty.

What is the coeffi cient of determination and what does it tell you about explained variation of y in a random sample of data pairs (x, y)?

What is the least-squares criterion? How do you fi nd the equation of the leastsquares line?

QUESTION 1 Security A has an expected rate of return of 15.50% and a beta of 1.95.The riskfree rate is 2.25% and the market risk premium is 6%.What is the alpha of security A? Enter your answer...

For each of the following, compute the present value (Do not round intermediate calculations and round your final answers to 2 decimal places (e.g.. 32.16).)

DJIA was 19,864.09 on Jan 31, 2017 (refer to the Excel spreadsheet DJIA_Jan31_2017.xlsx in ASSIGNMENTS on the course web site). What was the divisor value (provide the number with 6 digits after the...