**Current Attempt in Progress**Use the normal distribution to find a confidence interval for a difference in proportions \( p_1 - p_2 \) given the relevant sample results. Assume the results come from random samples.A 90% confidence interval for \( p_1 - p_2 \) given that \( \hat{p}_1 = 0.20 \) with \( n_1 = 40 \) and \( \hat{p}_2 = 0.40 \) with \( n_2 = 120 \).Give the best estimate for \( p_1 - p_2 \), the margin of error, and the confidence interval.Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence interval to three decimal places.- **Best estimate:** [Input box]- **Margin of error:** [Input box]- **Confidence interval:** [Input box] to [Input box][Save for Later Button]Attempts: 0 of 4 used.

Method: using the proportion Z Statistic

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 99% confidence interval for p given that p = 0.33 and n = 550. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places.
Construct a confidence interval for P1 - P2 at the given level of confidence. X1 = 26, n, = 236, x2 = 30, n2 = 304, 90% confidence %3D The researchers are% confident the difference between the two population proportions, p, - P2, is between and (Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)
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Use the normal distribution to find a confidence interval for a difference in proportions p¡ – P2 given the relevant sample results. Assume the results come from random samples. A 95% confidence interval for p, – pɔ given counts of 88 yes out of 120 sampled for Group 1 and 47 yes out 150 sampled for Group 2 Give the best estimate for p, - P2, the margin of error, and the confidence interval. Round your answers to three decimal places.
Please solve for the confidence interval and population standard deviation
Heights for teenage boys and girls were calculated. The mean height for the sample of 51 boys was 183 cm and the variance was 66. For the sample of 71 girls, the mean was 173 cm and the variance was 61. There is no reason to assume the variances would be equal. Estimate how much taller teenage boys are using a 87% confidence level. Express this in the (point estimate) ± (margin of error) format. Round answers to 2 decimal places. H
A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
n1=16 x‾1=124 s1=35 n2=12 x‾2=86 s2=31 Use this data to find the 98% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data Step 2 of 3 : Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Step 3 of 3 : Please also find the high and low endpoints and round to four decimal points.
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 70 dates, the mean record high daily temperature in a certain city has a mean of 86.37°F Assume the population standard deviation is 14.38 F The 90% confidence interval is ( I) (Round to two decimal places as needed.) The 95% confidence interval is ( D (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The 90% confidence interval The 95% confidence interval Interpret the results. O A. You can be 90% confident that the population mean record high temperature is between the bounds of the 90% confidence interval, and 95% confident for the G50% intonial Click to select your answer(S). 180min ZoT oo
Scores on an English test from 30 students in Class One has a mean of 33 and a standard deviation of 7.2. Scores on an English test from 40 students in Class Two has a mean of 39 and a standard deviation of 5.5. Assuming the two classes are independent, construct a 90%confidence interval for difference between the mean scores for Class One and Class Two. Round your answer to 3 decimal places. Base on the confidence interval, what conclusion can you draw? Group of answer choices (-8.530,-3.470) Group 2 is bigger (-8.530,-3.470) Group 1 is bigger (-8.639,-3.361) No conclusion (-8.639,-3.361) Group 2 is bigger (-6.769,-5.231) Group 2 is bigger
Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96
Use the normal distribution to find a confidence interval for a difference in proportions p₁ Assume the results come from random samples. A 90% confidence interval for p₁ - p₂ given that p = 0.75 with n = 440 and p₂ = 0.65 with #₂ = 360 Give the best estimate for p₁ - p₂, the margin of error, and the confidence interval. Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence interval to three decimal places. Best estimate: i Margin of error: i Confidence interval: - P₂ given the relevant sample results. to

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