Question

In: Statistics and Probability

It has been suggested that the highest priority of retirees is travel. Thus, a study was...

It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 692 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.

Number of Nights Pre-retirement Post-retirement Total
4−7 240 160 400
8−13 83 67 150
14−21 32 57 89
22 or more 13 40 53
Total 368 324 692


With this information, construct a table of expected numbers.

Number of Nights Pre-retirement Post-retirement
4-7
8−13
14-21
22 or more

The chi-squared value is ?2= 35.8310290188111

Using α=0.05, consider a test of ?0: length of stay and retirement are not related vs. ??: length of stay and retirement are related. Note that this problem involves a 4×2 contingency table and that the magic number for evaluating such a table at theα=0.05 level of significance is magic number = 7.81.

The final conclusion is

A. Accept ?0. There is not sufficient evidence to conclude that the length of stay is related to retirement.
B. Reject ?0.There is sufficient evidence to conclude that the length of stay is related to retirement.

Solutions

Expert Solution

Expected Value Calculation:

Thus, final conlusion is:

B. Reject ?0.There is sufficient evidence to conclude that the length of stay is related to retirement.


Related Solutions

It has been suggested that the highest priority of retirees is travel. Thus, a study was...
It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 696 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.   # of nights pre-retirement post-retirement total 4-7 239 169 408 8-13 78 68 146 14-21 34 58 92 22 or more 13 37...
It has been suggested that the highest priority of retirees is travel. Thus, a study was...
It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 689 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of nights Pre-Retirement Post-Retirement Total 4-7 243 167 410 8-13 77 68 145 14-21 39 51 90 22 or more 10 34...
It has been suggested that the highest priority of retirees is travel. Thus, a study was...
It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 683683 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4−7 233 165 398 8-13 81 74 155 14−21 37 50 87 22 or more 12 31...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 683 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4−7 236 161 397 8−13 85 63 148 14−21 38 50 88 22 or more 11 39...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 691 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4−7 235 175 410 8−13 84 63 147 14−21 31 59 90 22 or more 12 32...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 707 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4−7 244 162 406 8−13 83 72 155 14−21 32 59 91 22 or more 21 34...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 681681 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4−74−7 238238 161161 399399 8−138−13 7878 6363 141141 14−2114−21 3030 5656 8686 2222 or more 2020 3535...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 686686 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. You may round all answers for this problem to the nearest hundredth. Number of Nights Pre-retirement Post-retirement Total 4−7 245 163 408 8−13...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was...
It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 688 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights / Pre-retirement / Post-retirement / Total 4−7 / 236 / 167 / 403 8−13 / 81 / 60 / 141...
it has been suggusted that the highest priority of retirees is travel. Thus, a study was...
it has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 713 713 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. Number of Nights Pre-retirement Post-retirement Total 4−7 4 − 7 250 250 169 169 419 419 8−13 8 − 13 83 83...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT