Question

A healthcare consultant wants to compare the patient satisfaction ratings of two hospitals. The ratings of both hospitals are included in the data table. The consultant wishes to determine whether there is a difference in the patient ratings between the hospitals. Use a 0.05 level of significance to test the claim that the ratings of the two hospitals are the same.

a) Identify the claim and counterclaim. Then identify the null hypothesis and alternative hypothesis, and express both in symbolic form.

b) Identify the critical value(s) for the significance level given. Then illustrate the region(s) of rejection using a drawing, photo, or image.

c) Calculate the value of the test statistic and identify whether the obtained value is within the region of rejection.

d) Identify the P-value and identify whether the obtained value is within the region of rejection.

e) State the conclusion about a claim (based on either the value of the test statistic or the P-value); this should include a well-crafted sentence that states the conclusion within the specific context of the problem.

Hospital A Rating	Hospital B Rating
81	89
77	64
75	35
74	68
86	69
90	55
62	37
73	57
91	42
98	49
81	59
85	58
77	65
78	71
83	67
90	58
78	63
76	68
71	55
80	57

Answer 1

solution a Here the caim is li=lz Counter daim is MI7M2 Aull hypotheses Ho-i=U2 Atiromative hypotheiy is Hii y #ls 5 dif= mit nz-2=20+20-2=38, arbeeme d=0•05 Gitical values=± 2.02 from the geven data N1=20, 1=80-3, 1= 8. 18 n2 = 20, Xg= 59.3, s2=12-4 2024 - 2-024 %3D =110.670u mitne-2 Test itatetic t= = 6.31 d) P-value=0.000 here cal t= 6-31 is in Ihe rejection region. c) so, reject Ho: There ies a evidence to bupport the caim that the rating of the tuwo horpietals the Same - ore