# What type of statistical test will you run to answer this question? Why? We should use the z test this is because we were comparing two independent groups that are categorical and continuous variables. The distribution of the variables across the dependent variable is normal (Lowry, 2014). The sample size of 100 people is also within the limits the z test should be used since it allows more than 30 samples. The standard deviation is also known.

Analysis
Name
University

a. Identity the variables involved in answering the questions and whether they are continuous or categorical.
Social -Continuous
Fitness- Continuous
Historical interests- Continuous
Luxury accommodations -Categorical
b. What type of statistical test will you run to answer this question? Why?
We should use the z test this is because we were comparing two independent groups that are categorical and continuous variables. The distribution of the variables across the dependent variable is normal (Lowry, 2014). The sample size of 100 people is also within the limits the z test should be used since it allows more than 30 samples. The standard deviation is also known.
c. How many times would have to repeat the statistical test you identified in b above to fully answer your question
I will repeat the test once to confirm if the values of the z test fall in the wanted area of the distribution curve. This will help me in rejecting or accepting the null hypothesis. Repeating it more than once will bring in type two error.
d. Imagine that when you compared the importance of social reasons to fitness reasons imagine that when you compared the importance of social reasons to fitness reasons, you got the following output. Is the importance of social reasons significantly different from the importance of fitness reasons in choosing whether people go on this walking tour of Ireland?
H0=100
H1 >100
Z= (x – μ) / σ.
Where x is the number of samples used
Mean (μ)
Standard deviation (σ)
(5—1.57)/1.295
=3.7864
The importance of social reasons is significantly different from the importance of the fitness reasons because the Z value is more than the standard deviation.
The standard deviation e. What cues in the SPSS output did you use to help you to answer this question?
The mean value
The standard deviation
P value which was given as 0.00
The upper and lower limit.

References
Lowry, R. (2014). Concepts and applications of inferential statistics.