Last Digit 4 30 Frequency 35 24 25 27 35 37 27 36 24
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Exercises 1–5 refer to the sample data in the following table, which summarizes the last digits of the heights (cm) of 300 randomly selected subjects (from Data Set 1 “Body Data” in Appendix B). Assume that we want to use a 0.05 significance level to test the claim that the data are from a population having the property that the last digits are all equally likely.
What are the null and alternative hypotheses corresponding to the stated claim?
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- Table 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly selected students from each of the THREE (3) batches. Does this data provide evidence that there is any significant difference in the results throughout all the batches? Test the appropriate hypothesis using 95% significance level. (Note: please provide your answer in 3 d.p.) Table 5 Batch 1 Batch 2 Batch 3 88.5 71.5 73.5 80.0 77.3 72.1 74.5 69.3 78.4 74.3 78.1 95.4 88.0 88.4 77.1 Hypothesis statement: Ho: H1FH2=µ3 Hj: at least one mean is different 1) Find the parameters for each batch: Batch 1: nj=5, x1 $1= Batch 2: n2=5, x2= S2= Batch 3: n3=5, x3= S3= 2. 2) Find the variance between samples, ns: ns? ÷ 3 = 2. 3) Find variance within samples, s: .2 S ÷ 3 = 4) Test statistics: F = 5) Determine the degree of freedom Denominator Numerator 6) Critical value: 7) Decision and conclusion: a)Reject H0,There is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches…In a car crash experiment, cars are classified into one of four groups: subcompact, compact, midsize, and full-size. There are five different cars in each group. Head injury data (in hic, which are standard head injury condition units) for the dummies in the driver's seat are listed in the accompanying table. Use a 0.05 significance level. Test the null hypothesis that the different weight categories have the same mean. Do the sample data suggest that larger cars are safer? E Click the icon to view the table of the head injury data for the dummies in the driver's seat. State the null and alternative hypotheses. O B. H,: At least one of the population means is different from the others. OA. Ho: H1 =H2 = H3 = H4 H: At least one of the population means is different from the others. Ha: H1 = H2 = Hl3 = 4 O C. Ho: H1 = H2 = H3 = H4 O D. Ho: H1 = H2 = H3 =H4 = H5 H3: At least one of the population means is different from the others. Use technology to calculate the test statistic F. Data…Past studies have indicated that the percentage of smokers was estimated to be about 30%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1775 people and found that 492 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? Ho: ? v Ha: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed))? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. Submit Question % & 8. 5.
- Past studies have indicated that the percentage of smokers was estimated to be about 30%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2414 people and found that 680 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? Hp: ? v H:? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. Check AnswerPast studies have indicated that the percentage of smokers was estimated to be about 32%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1836 people and found that 552 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.a) Identify the null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the…You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.035 margin of error at a 99% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.035 margin of error? b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.185. Using this new information. what sample size should you gather in order to obtain a 0.035 margin of error
- Only 10% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 399 randomly selected registered voters surveyed, 52 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answerAmong drivers who have had a car crash in the last year, 110 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 44 24 15 27 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is x²= The critical value is x² = The conclusion is OA. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages. OB. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages.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.
- A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.1%), Married (55.9%), Widowed (3%), Divorced (10%). The table below shows the results of a random sample of 1824 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 562 Married 1024 Widowed 73 Divorced 165 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: O Marital status and residency are dependent. O Marital status and residency are independent. O The distribution of marital status in California is not the same as it is nationally. O The distribution of marital status in California is the same as it is nationally.1. Write a complete paragraph in APA format describing the research question and your results. Question: A social psychologist records the number of outbursts among students at two schools. Assuming the same number of students were observed at each school, what is the sample size at each school, the decision to retain or reject the null hypothesis) and the effect size for this study based on the following statement? The number of outbursts among students at the small school (M=3) was significantly less than the number recorded at the large school (M = 5) f(38) =4.19, p < .05(d = 0.25 ). Results: sample size = 20 for each school For a two tailed test and df = 38, at 0.05 significance level, t = 2.023 (from t distribution table) Here, the critical value is less than t obtained (t2.023 < 4.19) Hence, we reject the null hypothesis at a 5% significance level Given that d = 0.25 => effect size is medium (since 0.2<d<0.8 for medium) Therefore, the study showed a medium…b. In 2018, a sample of 300 in-store shoppers showed that 44 paid by debit card. The results shown in the table below were obtained when a sample of 400 in-store shoppers were surveyed in 2019. Year 2018 2019 Shoppers Surveyed Shoppers Paying by Debit Card 44 Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased, and conduct the test using a significance level of 0.01. What is your conclusion? 300 400