Question

In: Statistics and Probability

In the Focus Problem at the beginning of this chapter, a study was described comparing the...

In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 463 eggs in group I boxes, of which a field count showed about 264 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 808 eggs in group II boxes, of which a field count showed about 268 hatched.

(a) Find a point estimate 1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.)
1 =

Find a 95% confidence interval for p1. (Round your answers to three decimal places.)

lower limit     
upper limit


(b) Find a point estimate 2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.)
2 =

Find a 95% confidence interval for p2. (Round your answers to three decimal places.)

lower limit     
upper limit


(c) Find a 95% confidence interval for p1p2. (Round your answers to three decimal places.)

lower limit    
upper limit

Solutions

Expert Solution

The  proportion of eggs that hatch can be obtained using the formula:

= No. of eggs that hatch / Total no of eggs

Given: In group I, In group II,

(a)   

Hence, point estimate for , the proportion of eggs that hatch in group I nest box placements

100(1-)% confidence interval for can be computed using the formula:

Here

From standard normal table,

i.e   

= (0.525, 0.615)

95% confidence interval for = (0.525, 0.615)

Lower limit = 0.525

Upper limit = 0.615

Similarly,

(b)

Hence, point estimate for , the proportion of eggs that hatch in group I nest box placements

To obtain the 95% confidence interval for p2,

= (0.299,0.364)

95% confidence interval for = (0.299,.364)

Lower limit = 0.299

Upper limit = 0.364

(c) 100(1-)% confidence interval for difference in proportion can be computed using the formula:

= (0.182,0.294)

95% confidence interval for p1p2 = (0.182,0.294)

Lower limit = 0.182

Upper limit = 0.294


Related Solutions

In the focus problem at the beginning of this chapter, a study was described comparing the...
In the focus problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 469 eggs in group I boxes, of which a field count showed about 266 hatched. Group II nesting boxes boxes were placed in highly visible locations and grouped closely together. There were a total of 820...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 461 eggs in group I boxes, of which a field count showed about 264 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 794 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 463 eggs in group I boxes, of which a field count showed about 280 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 788 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 465 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 786 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 493 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 810 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 491 eggs in group I boxes, of which a field count showed about 260 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 816 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 493 eggs in group I boxes, of which a field count showed about 264 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 786 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 487 eggs in group I boxes, of which a field count showed about 270 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 808 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 465 eggs in group I boxes, of which a field count showed about 274 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 782 eggs...
In the Focus Problem at the beginning of this chapter, a study was described comparing the...
In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 469 eggs in group I boxes, of which a field count showed about 262 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 804 eggs...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT