Question No. 03: A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importance is the income in the area surrounding the proposed mall. A random sample of four families is selected near each proposed mall. Following are the sample results. At the .05 significance level, can the developer conclude there is a difference in the mean income? Use the usual six-step hypothesis testing procedure. Southwyck Area ($000) Franklin Park Old Orchard ($00) ($000) 64 74 75 68 71 80 70 69 76 60 70 78

Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.1 %. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 424 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 19 report now being married. Does this evidence support Annie's claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 3.1 % ? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 39% of them plan to go into general practice. You wish to conduct a significance test to evaluate the school's claim.

If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected?       A. 0.0367       B. 0.0501       C. 0.100       D. 0.299

Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence​ (sent to prison or not sent to​ prison) is independent of the plea. If you were an attorney defending a guilty​ defendant, would these results suggest that you should encourage a guilty​ plea? Guilty Plea Not Guilty Plea   Sent to Prison 418 48 Not Sent to Prison 558 43

2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.

A professor wanted to determine if the GPAS of students at Saddleback College are less consistent than the GPAS of students at Irvine Valley College. To test this, he obtains random samples of students from both colleges and records their GPAS, which are given below. Test the professor's claim at the a=0.05 level of significance. Saddleback College Irvine Valley College 3.7 3.2 3.0 2.5 2.7 3.6 4.0 3.4 3.8 3.2 3.0 2.5 3.6 2.8 2.6 2.5 2.1 2.7 3.9 3.4 2.0 2.2 2.7 3.1 2.0 2.0 2.1 3.8 3.1 2.9 3.2 2.8 Calculator Function [ Select] [ Select] 2-PropZTest ANOVA X^2-Test T-Test 2-SampTTest 2-SampFTest [ Select] v sufficient evidence that the standard deviation of grades for Saddleback College students is [ Select] than the standard deviation for Irvine Valley College students.

Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…

Answer the questions in the images.

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? 9 Human activity Natural patterns Don't know 66 64 Male 288 307 130 155 Female Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: H₂₁: Compute the test statistic. ▼and and (Round to three decimal places as needed.) Find the critical value(s). are ▼are (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? Ho. There sufficient evidence to warrant rejection of the claim…