INFERENCE AND DIFFERENCE ANALYSES

Please answer the following questions by using SPSS and the file SAV

 You may want to begin by specifying the type of analyses which you would utilize to answer the question(s). 

For all questions, attach the corresponding output from SPSS.

1. Assuming a 95% level of confidence, determine the population estimate for how much the residents of the metropolitan area would expect to spend per month in restaurants for meals only.

The population mean is $150.05 expected spending per month at a 95% level of confidence.

2. Assuming a 99% level of confidence, estimate how likely the population of the metropolitan area would be to patronize a new, upscale restaurant as described in question 4.

At 99% level of confidence they are, neither likely nor unlikely, to patronize a new, upscale restaurant.

3. Among those who are “very likely” to patronize The Hobbit’s Choice Restaurant, the owner believes that they will either “very strongly” or “somewhat” prefer each of the following: waitstaff with tuxedos, unusual desserts, large variety of entrees, unusual entrees, elegant décor and jazz combo music. Does the data support these hypotheses? (Hint: You must select cases (Likely=5) before testing the hypotheses.)

The Data supports all of these hypotheses but one: (Very strongly prefer =5, and Somewhat prefer =4, so a mean bt 4 and 5 would support the hypothesis)

Waitstaff w/ tuxedos: 4.68 mean

Unusual desserts: 4.54 mean

Large variety of entrees: 4.51mean

Unusual entrees: 4.58 mean

Elegant décor: 4.50 mean

Jazz combo music: 2.60 mean; therefore, this segment is NOT supported by the hypothesis. They reported they would “Somewhat not prefer” or “Neither prefer nor not prefer” jazz combo music.

4. Is there a difference between radio listeners and non-listeners in their likelihood of patronizing the new, upscale restaurant? Viewers and non-viewer’s of local TV news? Readers and non-readers of the newspaper? Assume a 99% confidence level for all three tests.
   
   
   Yes, there is a difference bt radio listeners and non-listeners as well as bt viewers and non-viewers of TV news, but the mean was the same for readers and non-readers of the newspaper.
   Radio Listeners- 3.03mean: Neither Likely Nor Unlikley
   Non-Listeners- 2.20mean: Somewhat Unlikely
   TV News Viewers- 3.22mean: Neither Likely Nor Unlikley
   Non Viewers- 1.25mean: Very Unlikley
   Readers and Non Readers – 3.00 and 3.05mean: Neither Likely Nor Unlikley

5. Is there a difference in metropolitan residents’ preference for simple décor and elegant décor? For unusual desserts and unusual entrees? Assume a 95% confidence level for both tests.

Yes, Simple Décor has a mean of 3.58 – showing it is somewhat preferred while Elegant Décor has a mean of 2.33 showing residents said it is somewhat not preferred.

6. Does the likelihood of patronizing the new upscale restaurant differ among metropolitan residents based on their level of education, marital status, or household income? Assume a 95% confidence level for all three tests.

Yes, all three demographic questions have varying means.

Level of Education:

Less than highschool 1.36

Some highschool 1.07

Highschool grad 1.29

Some college 1.14

• The less educated segments are all very unlikely

Associate degree 2.43

• This level is somewhat unlikely

Bachelor’s degree 3.22

Master’s degree 3.44

Doctorate degree 4.44

• The remaining higher educated respondents are neither likely nor unlikely and the Doctorates somewhat likely.

Marital Status:

Single 2.90

Married 3.03

Other 3.03

• Marital status didn’t affect the likelihood very much, all were Neither Likely not Unlikely

Household Income:

<$15,000 1.23

$15,000-24,999 1.15

• Lower incomes are very unlikely

$25,000-49,999 2.68

$50,000-74,999 2.74

• Mid range are Neither Likely nor Unlikely

$75,000-99,999 4.00

$100,000-149,999 4.56

$150,000 + 4.33

• Uppper incomes vary bt Somewhat Likely and Very Likely