TABLE 11-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion
1
Referring to Table 11-3, the overall or mean proportion of local riders is ________ .
0.5504
Referring to Table 11-3, the expected cell frequency in the Male/Local cell is ________.
33.02
Referring to Table 11-3, the expected cell frequency in the Female/Non-Local cell is ________.
31.02
Referring to Table 11-3, the critical value of the test is ________.
3.841
Referring to Table 11-3, the value of the test statistic is ________.
4.568
Referring to Table 11-3, the null hypothesis will be rejected.
a) True
b) False
a) True
Referring to Table 11-3, the decision made suggests that there is a difference between the proportion of males and females who ride local versus non-local routes.
a) True
b) False
a) True
TABLE 11-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along wi
c) ?2 test for difference among more than two proportions
Referring to Table 11-4, the degrees of freedom of the test statistic is ________.
a) 4
b) 10
c) 448
d) 8
a) 4
Referring to Table 11-4, the critical value of the test statistic at 1% level of significance is ________.
a) 13.2767
b) 23.2093
c) 7.7794
d) 20.0902
a) 13.2767
Referring to Table 11-4, the calculated value of the test statistic is ________.
a) -0.1777
b) 1.5190
c) 1.4999
d) -0.0185
c) 1.4999
Referring to Table 11-4, at 1% level of significance,
a) there is sufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.
b) there is sufficient evidence to conclude th
d) there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.
TABLE 11-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at
175
Referring to Table 11-6, what is the expected number of shoppers who do not pay by check in year 3 if there is no difference in the proportion of shoppers who pay by check among the three years?
325
TABLE 11-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at
c) H0: ?1 = ?2 = ?3
Referring to Table 11-6, what is the form of the alternative hypothesis?
a) H0: ?1 ? ?2 = ?3
b) H0: ?1 = ?2 ? ?3
c) H0: ?1 ? ?2 ? ?3
d) H1: not all ?j are the same
d) H1: not all ?j are the same
Referring to Table 11-6, the assumptions needed to perform the test are satisfied.
a) True
b) False
a) True
Referring to Table 11-6, what are the degrees of freedom of the test statistic?
2
Referring to Table 11-6, what is the value of the test statistic?
43.96
Referring to Table 11-6, what is the critical value?
5.991
Referring to Table 11-6, what is the p-value of the test statistic?
2.9E-10, smaller than 0.005
Referring to Table 11-6, the null hypothesis cannot be rejected.
a) True
b) False
b) False
Referring to Table 11-6, what is the correct conclusion?
a) There is enough evidence that the proportions are all different in the three years.
b) There is not enough evidence that at least two of the proportions are not equal.
c) There is enough evidence
c) There is enough evidence that at least two of the proportions are not equal.
TABLE 11-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.
At the 0.05 level of significance, you want to know if there is evidence of a d
2
Referring to Table 11-7, the expected cell frequency for the Hong Kong/Yes cell is ________.
160
Referring to Table 11-7, the expected cell frequency for the Paris/No cell is ________.
40
Referring to Table 11-7, the critical value of the test is ________.
5.9915
Referring to Table 11-7, the value of the test statistic is ________.
7.00
Referring to Table 11-7, the null hypothesis will be rejected.
a) True
b) False
a) True
Referring to Table 11-7, the decision made suggests that the three cities all have different proportions of hotels that correctly post minibar charges.
a) True
b) False
b) False
Referring to Table 11-7, the decision made suggests that the three cities do not all have the same proportion of hotels that correctly post minibar charges.
a) True
b) False
a) True
TABLE 11-9
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent. Each in a sample of 300 f
b) ?2 test for independence
Referring to Table 11-9, the calculated test statistic is ________.
a) 0.00
b) 5.9418
c) -0.1006
d) 6.1194
b) 5.9418
Referring to Table 11-9, at 5% level of significance, the critical value of the test statistic is ________.
a) 9.4877
b) 3.8415
c) 13.2767
d) 5.9914
b) 3.8415
Referring to Table 11-9, the degrees of freedom of the test statistic are ________.
a) 2
b) 4
c) 1
d) 299
c) 1
Referring to Table 11-9, at 5% level of significance, the conclusion is that
a) brand awareness of female TV viewers and the gender of the spokesperson are independent.
b) brand awareness of female TV viewers and the gender of the spokesperson are not ind
d) both B and C
TABLE 11-13
Recent studies have found that American children are more obese than in the past. The amount of time children spent watching television has received much of the blame. A survey of 100 ten-year-olds revealed the following with regard to weights
c) 5.8
Referring to Table 11-13, if there is no connection between weights and average number of hours spent watching TV, we should expect how many children to spend no more than 6 hours on average watching TV and be more than 10 lbs. underweight?
a) 8
b) 12
c)
b) 12
Referring to Table 11-13, how many children in the survey spend more than 6 hours watching TV and are more than 10 lbs. overweight?
a) 9
b) 20
c) 40
d) 1
b) 20
Referring to Table 11-13, how many children in the survey spend no more than 6 hours watching TV and are more than 10 lbs. underweight?
a) 5
b) 20
c) 15
d) 10
c) 15
Referring to Table 11-13, the value of the test statistic is ________.
a) 15.483
b) 18.889
c) 8.532
d) 69.744
b) 18.889
Referring to Table 11-13, the critical value of the test will be ________.
a) 14.860
b) 21.666
c) 13.277
d) 6.635
c) 13.277
Referring to Table 11-13, suppose the value of the test statistic was 30.00 (which is not the correct value) and the critical value at 1% level of significance was 10.00 (which is not the correct value). Which of the following conclusions would be correct
c) We will reject the null and conclude that mean number of hours spent watching TV and weights are not independent.
Referring to Table 11-13, which of the following statements is correct?
a) We cannot reject the null for any level of significance greater than 0.005.
b)We can reject the null for any level of significance smaller than 0.005.
c) We cannot reject the null
d) We can reject the null for any level of significance greater than 0.005.
Referring to Table 11-13, the degrees of freedom of the test statistic are
a) 1
b) 2
c) 9
d) 4
d) 4
Referring to Table 11-13, the test is always a one-tail test.
a) True
b) False
a) True