At a major credit card bank, the percentages of people who historically apply for the Silver, Gold, and Platinum cards are 60%, 30%, and 10%, respectively. In a sample of 200 customers, 110 applied for the Silver, 55 for Gold, and 35 for Platinum. Is there evidence to suggest that the percentages for this promotion may be different from the historical proportions? What is the expected number of customers applying for the SILVER card in this sample if the historical proportions are true?  What is the expected number of customers applying for the GOLD card in this sample if the historical proportions are true?  What is the expected number of customers applying for the PLATINUM card in this sample if the historical proportions are true?  What is the value of the degrees of freedom? df = _____  What is the chi-square statistic? ( 2 decimal places)  What is the p-value? ( 3 decimal places)  Reject the null hypothesis or Fail to reject the null hypothesis.

A real estate​ agency, located in a metropolitan area in the northeastern​ U.S., kept data on the various types of properties purchased in the area.​ Historically, 15% of purchases were for​ condominiums, 30% were for​ townhouses, 40% for single family​ homes, 10% for commercial properties and​ 5% for land. With changing​ demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the​ following: Type of Property Condos Townhouses Homes Commercial Land Frequency 89 121 78 25 12 Based on the historical​ distribution, we would expect how many homes to be​ purchased? Question content area bottom Part 1 A. 130 B. 121 C. 129.95 D. 122.54 E. 100

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 21 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. LAUSE SALT (a) What is the level of significance? ← State the null and alternate hypotheses. OM P=0.7; M₁: P 5 and ng> 5. O The Student's t, since np> 5 and ng 5. O The Student's t, since np < 5 and ng < 5 O The standard normal, since np < 5 and ng < 5 What is the value of the sample test statistic? (Round your answer to two decimal places) - (C)…

Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 24 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.7; H₁: p > 0.7 Ho: P = 0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic.…

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 130 employee absences. The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 110 employee absences. The distribution of these 110 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 110 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-fE) (Observedrequency Expectedrequency JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. 2 Round your responses to three or more decimal places. (SO-SE)² SE Send data…