P 5 I would like to have Question 1 and Question 2 by Tuesday (tomorrow evening 19:00) The rest of the questions starting from T5, I need by...

P 5 I would like to have Question 1 and Question 2 by Tuesday (tomorrow evening 19:00)

The rest of the questions starting from T5, I need by Wednesday 17:00, please.

We are not allowed to use Excell programme for answers. They mark it wrong. This is for the questions underneath where we do not choose between the answers given.

Question 1

A medical doctor claims that the proportion of female patients with high blood-pressure is smaller than the proportion of male patients with high blood-pressure. The doctor conducted a survey in his practise. Out of the 100 female patients only 13 had high blood-pressure and out of the 110 male patients, 33 had high blood-pressure.

1.1 Test the doctors’ claim at a 5% level of significance. Assume that the population proportions are equal.

1. 1. Construct a 90% confidence interval for the difference between the two population proportions.

   2. Compute the p-value

Question 2

An experimenter is concerned that variability of responses using two different experimental procedures may not be the same. He randomly selects two samples of 16 and 14 responses from two normal populations and gets the statistics: S12 = 55 and S22 = 118 respectively. Do the sample variances provide enough evidence at the 10% significance level to infer that the two population variances differ?

T5 on next page

Question 1

1. TABLE 10-10
   The following EXCEL output contains the results of a test to determine if the proportions of satisfied guests at two restaurants are the same or different.
   
   

Referring to Table 10-10, allowing for 0.75% probability of committing a Type I error, what are the decision and conclusion on testing whether there is any difference in the proportions of satisfied guests in the two restaurants?

Question 2

1. TABLE 10-12
   The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
   
   

Referring to Table 10-12, the hypotheses the dean should use are:

Question 3

1. TABLE 10-11
   A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let ╥ 1 and  ╥2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
   Referring to Table 10-11, what is the unbiased point estimate for the difference between the two population proportions?

Question 4

1. TABLE 10-13
   A quality control engineer is in charge of the manufacture of computer disks. Two different processes can be used to manufacture the disks. He suspects that the Kohler method produces a greater proportion of defects than the Russell method. He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them, respectively, are defective. If Kohler is designated as "Group 1" and Russell is designated as "Group 2," perform the appropriate test at a level of significance of 0.01.
   Referring to Table 10-13, the hypotheses that should be tested are:

Question 5

1. TABLE 10-10
   The following EXCEL output contains the results of a test to determine if the proportions of satisfied guests at two restaurants are the same or different.
   
   

Referring to Table 10-10, if you want to test the claim that "Restaurant 1 (Group 1) has a higher proportion of satisfied customers compared to Restaurant 2 (Group 2)", the p-value of the test will be

Question 6

1. TABLE 10-11
   A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let  ╥ 1 and  ╥ 2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
   Referring to Table 10-11, what is the estimated standard error of the difference between the two sample proportions?

Question 7

1. TABLE 10-11
   A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let ╥ 1 and ╥ 2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
   Referring to Table 10-11, what is the value of the test statistic to use in evaluating the alternative hypothesis that there is a difference in the two population proportions?

Question 8

1. In testing for differences between the means of two related populations, the null hypothesis is

Question 9

1. TABLE 10-10
   The following EXCEL output contains the results of a test to determine if the proportions of satisfied guests at two restaurants are the same or different.
   
   

Referring to Table 10-10, if you want to test the claim that "Restaurant 1 (Group 1) has a lower proportion of satisfied customers compared to Restaurant 2 (Group 2)", you will use

Question 10

1. TABLE 10-11
   A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let   ╥  1  and  ╥  2  represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
   Referring to Table 10-11, what is/are the critical value(s) when testing whether population proportions are different if    = 0.10?