Question

In: Statistics and Probability

PRIMARY REASON FOR NOT RETURNING Golden Palm Palm Royal Palm Princess price 32 27 37 location...

PRIMARY REASON FOR NOT RETURNING Golden Palm Palm Royal Palm Princess
price 32 27 37
location 39 13 18
Accommodations 25 15 14
Other 23 8 8

I wanted to know what Kind of Anova do I run for those two tables. and how my anova would look like.

Choose hotel Again Golden Palm Palm Royal Palm Princess
yes 133 201 179
No 32 89 66

Solutions

Expert Solution

1)

Null and Alternative Hypothesis:

H0: µGolden Palm = µPalm Royal = µPalm Princess

H1: Not all Means are equal

Alpha = 0.05

N = 16

n = 4

Degress of Freedom:

dfBetween = a – 1 = 3-1 =2

dfWithin = N-a = 16-3 = 13

dfTotal = N-1 = 16-1 = 15

Critical Values:

Time (dfBetween, dfWithin): (2,13) = 4.26

Decision Rule:

If F is greater than 4.26, reject the null hypothesis

Test Statistics:

SSBetwen = ∑(∑ai)2/n - T2/N = 424.67

SSWithin = ∑(Y)2 - ∑(∑ai)2/n = 824.25

SSTotal = SSBetwen ­­+ SSWithin = 1248.92

MS = SS/df               

F = MSeffect / MSerror

Hence,

F = 212.33/91.58 = 2.32

Result:

Our F = 2.32, we fail to reject the null hypothesis

Conclusion:

All means are equal.

2)

For Second Question, Chi Square Test would be appropriate.

Null and Alternative Hypothesis:

H0: The two variables (Choice and Hotel) are independent.

Ha: The two variables are associated.

Given,

Observed Values:

Expected Values:

Expected Values are calculated as:

Eij = (Ti * Tj)/N

where,

Ti = Total in ith row

Tj = Total in jth column

N = table grand total

Alpha = 0.05

df = (r-1)*(c-1) = (2-1)*(3-1) = 1*2 = 2

Chi Square Critical = 5.99

Decision Rule:

If Chi Square> Chi Square Critical reject the null hypothesis

Test Statistic:

Chi Square = ∑(Oij – Eij)2/Eij = (133-120.92)2/120.92 + ……………….. + (66-65.45)2/65.45 = 6.86

Result:

Since, Chi Square> Chi Square Critical we reject the null hypothesis.

Conclusion:

Choice and Hotel are associated.


Related Solutions

PRIMARY REASON FOR NOT RETURNING Golden Palm Palm Royal Palm Princess price 32 27 37 location...
PRIMARY REASON FOR NOT RETURNING Golden Palm Palm Royal Palm Princess price 32 27 37 location 39 13 18 Accommodations 25 15 14 Other 23 8 8 I wanted to know what Kind of Anova do I run for those two tables. and how my anova would look like. Choose hotel Again Golden Palm Palm Royal Palm Princess yes 133 201 179 No 32 89 66
Suppose Katie sells 1800 posters. Use the following financial data ($32 sales price, $27 variable​ cost,...
Suppose Katie sells 1800 posters. Use the following financial data ($32 sales price, $27 variable​ cost, $2800 fixed​ expenses) to compute her operating leverage factor. If sales volume increases 12%, by what percent will Katie's operating income​ change? Prove your answer. ​First, identify the​ formula, then compute the operating leverage factor. ​(Round your answer to two decimal​ places.) Contribution margin / Operating income = Operating leverage factor / = If sales volume increases 16% by what percent will Katie​'s operating...
For the stress data given below with the nearest error of 1: 27-17-11-24-36-13-29-22-18 23-30-12-46-17-32-48-11-18 18-32-26-24-38-24-15-13-13 18-21-27-20-16-15-37-19-19...
For the stress data given below with the nearest error of 1: 27-17-11-24-36-13-29-22-18 23-30-12-46-17-32-48-11-18 18-32-26-24-38-24-15-13-13 18-21-27-20-16-15-37-19-19 a) Construct a frequency distribution table. b) Construct the three types of statistical graphs. c) Determine the (1) Mean, (2) Median, (3) Mode, (4) Range, Variance, and (6) Standard Deviation.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT