Q1): Referring to Scenario 10-9, allowing for 1% probability of committing a Typ
ID: 3178797 • Letter: Q
Question
Q1): Referring to Scenario 10-9, allowing for 1% probability of committing a Type I error, what are the decision and conclusion on testing whether there is any difference in the proportions of satisfied customers in the two resorts?
Level of Significance .05, Group 1 number of items of interest 160 sample size 200, Group 2 number of items of interest 172 sample size 250, Intermediate calculations group 1 proportion .8 group 2 proportion .688 diff in two proportions .737777777 z test stat -2.684103363, Two tail test lowest critical value -1.959963985 upper critical value 1.959963985 p value .007272462
A) Do not reject the null hypothesis; there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts.
B)Reject the null hypothesis; there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts.
C) Reject the null hypothesis; there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts.
D) Do not reject the null hypothesis; there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts
Q2): If you want to test the claim that "Resort 1 (Group 1) has a lower proportion of satisfied customers compared to Resort 2 (Group 2)," you will use
A) a Z test for the difference between two proportions.
B)a t test for the difference between two proportions.
C) an F test for the ratio of two variances.
D) an F test for the difference between two proportions.
Explanation / Answer
The test is two tailed and p-value is : 0.0073
Since p-value is less than 0.01 so we reject the null hypothesis.
B)Reject the null hypothesis; there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts.
Q2:
A) a Z test for the difference between two proportions.
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