c) If the sample size were 100 instead, how would your limits and conclusions change? UCL (enter your response as a number between 0 and 1, rounded to three decimal places)
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- When they send out theirfundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be in the future, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size, they simulated 1000 mailings with success rate p=0.05 and constructed the histogram of the 1000 sample proportions, as shown in the accopmanying table. Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample proportions. Be sure to talk about center, shape, and spread. Fill in the blanks As the sample size increases, the center of the histogram ▼ (moves to the left), (moves to the right), (stays approximattly the same) the shape of the distribution ▼ (becomes more normal), (becomes less normal), (stays approximatley the same) and the variability in the sample proportions ▼ (decreases), (increases), (stays aproxamtley the…Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 363 had more than one bag. Complete parts a through d below. a. Based on this sample, develop and interpret a 95% confidence interval estimate for the proportion of the traveling population that would have been impacted had the one-bag limit been in effect. Determine the confidence interval. ?? ——— ?? (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the…The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 35 %, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 125 have PC's at home. Test the hypothesis at the 1% significant level. Find the P-value and make a decision.
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- A manufacturer of interocular lenses is qualifying a new grinding machine and will qualify the machine if there is evidence that the percentage of polished lenses that contain surface defects does not exceed 3%. A random sample of 300 lenses contains 8 defective lenses. Use α = 0.01. Suppose that the percentage of defective lenses is actually 2%. What is the β-error for this test? Suppose that a β-error of 0.05 is acceptable if the true percentage is 2%. What is the required sample size?Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: Select an answer p1 μ1 Select an answer > ≠ < = Select an answer μ2 p2 (please enter a decimal) Select an answer p1 μ1 Select an answer > = < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your…A farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. In a pilot study of a random sample of 100 blooms,77 yield marketable strawberries. What sample size should be used for a future study to ensure that the margin of error is less than 5 percentage points,95% of the time?