Just have to answer 4-6 (please show all of work) Food Safety Durvey In your opi
ID: 3255948 • Letter: J
Question
Just have to answer 4-6 (please show all of work)
Food Safety Durvey In your opinion, how safe is the food you buy? CBS News polled 1048 U.S. adults and asked them the following question Overall, how confident are you that the food you buy is safe to eat: very confident, somewhat confident, not too confident, not at all confident? The pic chart shows the responscs to the question. You conduct a survey using the same question. The contingency table shows the results of your survey classified by gender. How Confident Are You That Gender the Food You Buy is Safe to Eat? Female Male Response Not at all confident 2% Very Very confident 96 60 confident somewhat confident 232 180 32% 56 Not too confident 52 Not too confident Not at all confident 12 14% Somewhat confident 52%Explanation / Answer
Answer:
4).
Number of males=number of females=396
%
Expected value
32
32*396/100 = 126.72
52
52*396/100= 205.92
14
14*396/100=55.44
2
2*396/100 =7.92
Ho. The distribution of responses by females is same as the expected distribution.
H1. The distribution of responses by females is different from the expected distribution.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
96
126.720
-30.720
7.447
232
205.920
26.080
3.303
56
55.440
0.560
0.006
12
7.920
4.080
2.102
Total
396
396.000
12.858
12.858
chi-square
3
df
.0050
p-value
Calculated chi square =12.858 which is > critical value 7.815. Ho is rejected.
We conclude that the distribution of responses by females is different from the expected distribution.
5).
Ho. The distribution of responses by males is same as the expected distribution.
H1. The distribution of responses by males is different from the expected distribution.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
160
126.720
33.280
8.740
180
205.920
-25.920
3.263
52
55.440
-3.440
0.213
4
7.920
-3.920
1.940
Total
396
396.000
14.157
14.157
chi-square
3
df
.0027
p-value
Calculated chi square =14.157 which is > critical value 7.815. Ho is rejected.
We conclude that the distribution of responses by males is different from the expected distribution.
6).
Education and socio economic status or income may be other factors to be considered.
%
Expected value
32
32*396/100 = 126.72
52
52*396/100= 205.92
14
14*396/100=55.44
2
2*396/100 =7.92
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