Q31. The following EXCEL output contains the results of a test to determine if t

Question

Q31. The following EXCEL output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different.

Hypothesized Difference 0
Level of Significance 0.05
Group 1
Number of Successes 163
Sample Size 227
Group 2
Number of Successes 154
Sample Size 262
Group 1 Proportion 0.718061674
Group 2 Proportion 0.58778626
Difference in Two Proportions 0.130275414
Average Proportion 0.648261759
Test Statistic 3.00875353
Two-Tailed Test
Lower Critical Value -1.959961082
Upper Critical Value 1.959961082
p-Value 0.002623357

Referring to the data above, if you want to test the claim that "Resort 1 (Group 1) has a higher proportion of satisfied guests compared to Resort 2 (Group 2)," the p-value of the test will be
    a. 0.00262
    b. 0.00262/2
    c. 2*(0.00262)
    d. 1 - (0.00262/2)

Q32. The following EXCEL output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different.

Hypothesized Difference 0
Level of Significance 0.05
Group 1
Number of Successes 163
Sample Size 227
Group 2
Number of Successes 154
Sample Size 262
Group 1 Proportion 0.718061674
Group 2 Proportion 0.58778626
Difference in Two Proportions 0.130275414
Average Proportion 0.648261759
Test Statistic 3.00875353
Two-Tailed Test
Lower Critical Value -1.959961082
Upper Critical Value 1.959961082
p-Value 0.002623357


Referring to the table, if you want to test the claim that "Resort 1 (Group 1) has a lower proportion of satisfied guests compared to Resort 2 (Group 2)," you will use
    a. a t-test for the difference in two proportions.
    b. a z-test for the difference in two proportions.
    c. a chi-square test for the difference in two proportions.
    d. a chi-square test for independence.

Explanation / Answer

Q31)

Since we want to calculate p value for right tailed, the p value will be half then the two tailed test.

Ans= b) 0.00262/2

Q32)b) z test for the difference in two proportions

For difference in two proportions and for n1 and n2> 30,

We use z test by central limit theorem, it follows normap distribution.

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