Instruction 10-8
the Following Micosoft Excel Output Contains the Results

question 129

Multiple Choice

Instruction 10-8
The following Micosoft Excel output contains the results of a test to determine if the proportions of satisfied guests at two resorts are the same or different.
$$\begin{array}{l}\begin{array} {| l | l |} \hline \text {Hypothesised Difference }&0\\\hline \text {Level of Significance }&0.05\\\hline \text {Group 1 }&\\\hline \text {Number of Successes }&160\\\hline \text { Sample size}&200\\\hline \text {Group 2 }&\\\hline \text {Number of Successes }&172\\\hline \text {Sample Size }&250\\\hline \text {Intermediate Calculations }&\\\hline \text {Group 1 Proportion }&0.8\\\hline \text {Group 2 Proportion }&0.688\\\hline \text { Difference in Two Proportions}&0.112\\\hline \text {Average Proportion }&0.737777778 \\\hline \text { Test Statistic}&2.684103363 \\\hline \text {Two-Tailed Test }&\\\hline \text { Lower Critical Value}&-1.95996398 \\\hline \text {Upper Critical Valuse }&1.959963985 \\\hline \text {p-Value }&0.007272462\\\hline \end{array}\end{array}$$
-Referring to Instruction 10-8,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 guests in the two resorts?

• A)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)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.
• C)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.
• D)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.

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