A research center claims that more than 22% of employees in a certain country have changed jobs in the past four years. In a random sample of 280 people from that country, 70 have changed jobs in the past four years. At a = 0.05, is there enough evidence to support the center's claim? Complete parts (a) through (e) below (a) Identify the claim and state Ho and Ha Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. At most % of employees in the country have changed jobs in the past four years. O B. More than % of employees in the country have changed jobs in the past four years. O C. The percentage of employees in the country who have changed jobs in the past four years is not % O D. % of employees in the country have changed jobs in the past four years. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State Ho and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA. Ho: pz OB. Ho: P Ha : P Ha : P # Ha: P= (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. 20 = 0 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. The rejection region is
. O C. The rejection regions are z ]. O D. The rejection region is z <. find the standardized test statistic z. z="Round" to two decimal places as needed. p-value for a left-tailed hypothesis with of decide whether reject ho if level significance is four state your conclusion. choose correct answer below. o since p> a, fail to reject Ho- O Since Psa, fail to reject Ho. O Since P > a, reject Ho. O Since Psa, reject HoA credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 29 cardholders has a mean credit card balance of $5,110 and a standard deviation of $600. At a = 0.10, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. - . U - O A. Ho: H > $4,900 O B. Ho: H > $4,900 O C. Ho: US $4,900 Ha: H $4,900 O D. Ho: H = $4,900 O E. Ho: H = $4,900 OF. Ho: H > $4,900 Ha: H # $4,900 Ha: H > $4,900 Ha : HIS $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = 0 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. O C. to and t> OD. to (c) Find the standardized test statistic t. t=(Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject Ho because the test statistic is in the rejection region. O B. Fail to reject Ho because the test statistic is not in the rejection region. O C. Reject Ho because the test statistic is not in the rejection region. O D. Reject Ho because the test statistic is in the rejection region. (e) Interpret the decision in the context of the original claim. O A. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is less than $4,900. O B. At the 10% level of significance, there is sufficient evidence to support the claim that the mean credit card debt is less than $4,900. O C. At the 10% level of significance, there is sufficient evidence to support the claim that the mean credit card debt is greater than $4,900. D. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is greater than $4,900. Restart to install the latest Windo
