**Confidence Interval for Proportions of Senior Executives' Predictions on Full-Time Employment**You may need to use the appropriate [appendix table](#) or [technology](#) to answer this question.A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, **228 of 400 executives** answered Yes, while in a previous year survey, **176 of 400 executives** had answered Yes. Provide a **95% confidence interval** estimate for the difference between the proportions at the two points in time. (Use current year – previous year. Round your answer to four decimal places.)**Confidence Interval:**\[ \_\_\_\_\_\_ \text{ to } \_\_\_\_\_\_ \]**Interpretation of the Interval Estimate:**The 95% confidence interval **----Select----** zero. This suggests that the proportion of executives who are predicting an increase in full-time jobs for the current year is **----Select----** than the proportion of executives who were predicting an increase in full-time jobs for the previous year.**Note:** - Ensure to calculate the confidence interval accurately using the formula for the difference in proportions.- The parameters are clearly outlined as: - Current year proportion (\( p_1 \) for 2023) = \( \frac{228}{400} \) - Previous year proportion (\( p_2 \) for 2022) = \( \frac{176}{400} \)- When interpreting, consider whether the interval includes zero or not, which indicates whether there is a significant difference in proportions between the two years.

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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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12.2.84 The number of successes and the sample size for a simple random sample from a population are given below. x = 6, n = 200, Ho:p= 0.02, Hạ: p# 0.02, a = 0.05 a. Determine the sample proportion. b. Decide whether using the one-proportion z-test is appropriate. c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test. Click here to view a table of areas under the standard normal curve for negative values of z. Click here to view a table of areas under the standard normal curve for positive values of z. a. The sample proportion is. (Type an integer or a decimal. Do not round.)
iOS Marketshare You plan to develop a new iOS social gaming app that you believe will surpass the success of Angry Birds and Facebook combined. In forecasting revenue, you need to estimate the percentage of all smartphone and tablet devices that use the iOS operating system versus Android and other operating systems. How many smartphones and tablets must be surveyed in order to be 99% confident that your estimate is in error by no more than two percentage points? a. Assume that nothing is known about the percentage of portable devices using the iOS operating system. b. Assume that a recent survey suggests that about 43% of smartphone and tablets are using the iOS operating system (based on data from NetMarketShare). c. Does the additional survey information from part (b) have much of an effect on the sample size that is required?
In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" Two hundred men and 200 women were asked this question. Twenty-nine percent of the men and 24% of the women responded "yes." a. Based on this survey, can we conclude that there is a difference in the proportion of man and women responding “yes" at the 0.05 level of significance? (i) State the null and alternative hypotheses (ii) What test statistics would you use and why? (iii) Compute the value of the test-statistic. (iv) What rejection region would you use? (v) State your conclusion in the context of the problem. b. What P-value is associated with this test? Based on this P-value, could H. be rejected at significance level 0.08? c. Find a 95% confidence interval for the difference between the proportion of men and women responding "yes." Based on this confidence interval, would your conclusion be the…
A recent report by PEW Research Center, published on February 25, 2022 summarizes American views on Russia threat as follows. “When it comes to rising U.S.- Russia tensions, an early January survey found that 26% of Americans considered the Russian military buildup near Ukraine to be a major threat to U.S. interests, while 33% said it was a minor threat to U.S. interests. Another 7% said it was no threat at all. A relatively large share of U.S. adults (33%) said they were not sure how Russian actions toward Ukraine affected U.S. interests.” Answer the questions based on the proportions listed above. (a) Use the binomial distribution to estimate the probability that more than half of 20 randomly selected US adults consider Russian military buildup near Ukraine to be a major or a minor threat to U.S. interests. (b) Use the normal approximation to estimate the probability that more than half of 20 randomly selected US adults consider Russian military buildup near Ukraine to be a major or…
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