The table below gives flight arrival numbers from a random sample of flights for two airlines. Early On-time 355 416 771 Late Total Airline A 87 58 133 191 500 151 700 Airline B Total 238 1200 3.1 Determine whether the proportion of on-time flights from Airline B exceeds that of Airline A by using the appropriate hypothesis test. Show all 7 steps and include both the rejection region and the p-value. (9) 3.2 By how much does the proportion of on-time flights for Airline B exceed that of Airline A? Use a 95% lower confidence bound to answer this question. Show all workings. (5)

The table below gives flight arrival numbers from a random sample of flights for two airlines. Early On-time 355 416 771 Late Total Airline A 87 58 133 191 500 151 700 Airline B Total 238 1200 3.1 Determine whether the proportion of on-time flights from Airline B exceeds that of Airline A by using the appropriate hypothesis test. Show all 7 steps and include both the rejection region and the p-value. (9) 3.2 By how much does the proportion of on-time flights for Airline B exceed that of Airline A? Use a 95% lower confidence bound to answer this question. Show all workings. (5)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A manufacturer of baby powder claims that 20 out of 56 mothers prefer brand A of baby powder. A random sample of 25 mothers are selected and asked what brand of baby powder they prefer. If 8 of the 25 mothers prefer Brand A, what is the conclusion? Use z-test at 1% level of significance.
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A pharmaceutical company wants to test whether Aspirin 1 is as effective as Aspirin 2. A random sample of 400 people with headaches are given Aspirin 1 and 260 report they feel better within 1 hour. Another independent random sample of 350 people with headaches are given Aspirin 2 and 220 report they feel better within 1 hour.a) At the 1% level of significance, does there appear to be a difference in theeffectiveness of the 2 types of Aspirin?b) What is the p-value?
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A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decision
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A well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 84% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 80% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the critical value for this hypothesis test? In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the critical value for this hypothesis test? \pm1.96±1.96 \pm1.645±1.645 \pm2.575±2.575 \pm2.05±2.05 \pm2.33±2.33
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To determine whether training in a series of workshops on creative thinking increases IQ scores, a total of 70 students are randomly divided into treatment and control groups of 35 each. After two months of training, the sample mean IQ for the treatment group equals 110, and the sample mean IQ for the control group equals 108. The estimated standard error equals 1.80. Using t, test the null hypothesis at the .01 level of significance. If appropriate (because the null hypothesis has been rejected), estimate the standardized effect size, construct a 99 percent confidence interval for the true population mean difference, and interpret these estimates.