The accompanying table provides the data for 100 room inspections at each of 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than

2?%.

Formulate a? one-sample hypothesis test for a proportion and perform the calculations using the correct formulas and Excel functions. Use a level of significance of 0.05.

Sample	Rooms Inspected	Nonconforming Rooms	Fraction Nonconforming
1	100	4	0.04
2	100	2	0.02
3	100	0	0
4	100	0	0
5	100	2	0.02
6	100	6	0.06
7	100	3	0.03
8	100	6	0.06
9	100	2	0.02
10	100	4	0.04
11	100	0	0
12	100	2	0.02
13	100	2	0.02
14	100	3	0.03
15	100	4	0.04
16	100	2	0.02
17	100	1	0.01
18	100	2	0.02
19	100	5	0.05
20	100	3	0.03
21	100	4	0.04
22	100	4	0.04
23	100	1	0.01
24	100	1	0.01
25	100	1	0.01

Is there sufficient evidence at the 0.05 level of significance that the proportion of nonconforming rooms to be less than 2%? Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.) State the conclusion. The p-value is the chosen value of a, so the null hypothesis. There is evidence to conclude that the proportion of nonconforming rooms will be less than 2%