4. The following information is obtained concerning an investigation of 50 mobile user: Sex Male Female Total Light user 17 18 35 Heavy user 3 12 15 Total 20 30 50 (Use 95 % Confidence level for hypothesis testing) a) Develop the null hypothesis and alternative hypothesis d. Can it be inferred that females are relatively heavy users of mobile phone? c. Curve? d. Summary
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- Q7. Respond to each of the following questions using this partially completed one-way ANOVA table. Source d.f Sum of squares Mean squares F-value Between Groups 3 Within Groups 405 Total 31 888 a) How many different populations are being compared? b) Fill in the ANOVA table with the missing values. c) State the appropriate null and the alternative hypothesis. d) Based on the analysis of variance F test, what conclusion should be reached regarding the null hypothesis? Test Using an = 0:05.Gay marriage. In May 2012, a CNN/ORC Poll asked arandom sample of 1009 U.S. adults this question:Do you think marriages between gay and lesbian couplesshould or should not be recognized by the law as valid,with the same rights as traditional marriages?Of those polled, 54% said they favored marriage equality,the highest percentage to date.a) Create a 95% confidence interval for the percentageof all American adults who support marriageequality.b) Based on your confidence interval, can you conclude that a majority of U.S. adults support legally recog-nizing gay marriages? Explain. c) If pollsters wanted to follow up on this poll with an-other survey that could determine the level of support for gay marriage to within 2% with 98% confidence,how many people should they poll?Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
- Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36The following are absence rates from work for a sample of 12 employers in England. 5.3 5.8 7.5 5.1 5.3 5.1 5.3 8.1 6.5 5.9 6.1 5.3 A sign test is carried out to test the hypothesis that the median absence rate from work in England is 5.3%. What is the test statistic? What is the sample size that should be used in the hypothesis test? Choose... v Choose... vSuppose we wanted to compare the average BMI of a sample of Charleston County residents to the average BMI of US adults (u-26.5). Use the data in the table below to conduct the appropriate hypothesis test to see if the average BMI of our sample of Charleston County residents is significantly different than the US adult average. CHS Sample BMI 25.3 27.5 24.2 27.5 28.6 28.6 24.2 22 23.1 29.7 20.9 25.3 26.4 22 29.7 28.6 26.4 24.2 20.9 25.3 What is the value for the test statistic? (round to two decimal places)
- To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: “How often do you read a book outside of work or school: regularly, sometimes, or never?” The results are summarized in the following table: OBSERVED READING HABITS Regularly Sometimes Never Total Male 42 72 10 124 Female 72 74 7 146 Total 107 146 17 270 a)What are the appropriate hypotheses for this chi-square test? b)What are the appropriate degrees of freedom for this test?An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Born in America 387 329 366 346 339 312 310 503 424 437 397 372 Foreign Born 101 81 84 81 93 82 59 90 69 99 104 81 Identify the null and alternative hypotheses for this test. O A. Ho: Months of births of baseball players are independent of where they are born. H1: : Months of births of baseball players are dependent of where they are born. B. Ho: The frequency of births is dependent of…A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts, Is this theory supported by the sample data? BB Click the icon to view the data table. Determine the null and alternative hypotheses. O A. Ho: The amount of smoking is dependent upon seat belt use. H₁: The amount of smoking is not dependent upon seat belt use. O B. Ho: Heavy smokers are not less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are less likely than non-smokers to wear a seat belt. OC, Ho: Heavy smokers are less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are not less likely than non-smokers to wear a seat belt. O D. Ho: The amount of smoking is independent of seat belt…
- Q6: Briefly, explain the importance of the tests shown in the following table in Hypothesis testing. Kolmogorov-Smimov Weight gain: Regular Diet Keto-Diet Statistic 0.360 0.146 df Sig. 8 .000 10 0.234 Shapiro-Wilk Statistic df 0.827 0.966 8 10 Sig. 0.021 0.850. What is the appropriate analysis? Using statistical equations, give complete statements of the null and alternative hypotheses. Give any appropriate equations that may be generated by the analysis.The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"