You may need to use the appropriate appendix table or technology to answer this question. An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased. H0: p = 0.115 Ha: p ≠ 0.115 H0: p > 0.115 Ha: p ≤ 0.115      H0: p ≤ 0.115 Ha: p > 0.115 H0: p ≥ 0.115 Ha: p < 0.115 H0: p < 0.115 Ha: p ≥ 0.115 (b) If the sample results show that 42 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.)   Find the p-value. (Round your answer to four decimal places.) p-value =  (c) At  ? = 0.05,  what is your conclusion? - Reject H0. There is sufficient evidence to conclude that there has been an increase in union membership. - Do not reject H0. There is sufficient evidence to conclude that there has been an increase in union membership.     - Reject H0. There is insufficient evidence to conclude that there has been an increase in union membership. - Do not reject H0. There is insufficient evidence to conclude that there has been an increase in union membership

Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD H1: HD + Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. t> В. t O C. t<

Researchers wished to know if they could conclude that two populations of infants differ with respect to mean age at which they walked alone. The following data (ages in months) were collected: Sample from population A: Sample from population B: 9.5, 10.5, 9.0, 9.75, 10.0, 13.0, 10.0, 13.5, 10.0, 9.5, 10.0, 9.75 12.5, 9.5, 13.5, 13.75, 12.0, 13.75, 12.5, 9.5, 12.0, 13.5, 12.0, 12.0 What should the researchers conclude? Let a = .05.

You may need to use the appropriate appendix table or technology to answer this question. Fewer young people are driving. In year A, 62.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 48.7%. Suppose these results are based on a random sample of 1,500 people under 20 years old who were eligible to have a driver's license in year A and again in year B.   (a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.)   At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.) _________ to ______________   (b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your…