Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds). In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis​ test

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Household   Paper Plastic
1                    3.27     0.63
2                    2.41      1.13
3                   11.42    12.81
4                   7.98      6.09
5                   6.33.     3.86
6                   12.32    11.17
7                    6.96     7.60
8                  16.39     9.70
9                   6.83      3.57
10                 5.86      3.91
11                  9.41      3.36
12                 6.44      8.40
13                 14.33.   6.43
14                 2.80      5.92
15                 16.08    14.36
16                 6.05       2.73
17                 13.61      8.95
18                 12.73.    14.83
19                 9.55        9.20
20                6.16         5.88
21                 6.67        6.09
22                 7.72        3.86
23                15.09       9.11
24                8.82        11.89
25               11.08        12.47
26               13.05        12.31
27                9.83          6.26
28                7.57           5.92
29               6.38           8.82
30               17.65          11.26

Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).

In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis​ test?
 
 
A. H0​: μd=0
H1​: μd<0
 
B. H0​: μd≠0
H1​: μd=0
 
C. H0​: μd≠0
H1​: μd>0
 
D. H0​: μd=0
H1​: μd≠0
 
Identify the test statistic.
 
t=
​(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
 
​P-value=
​(Round to three decimal places as​ needed.)
 
What is the conclusion based on the hypothesis​ test?
 
Since the​ P-value is
greater or less
than the significance​ level,
reject or fail to reject
the null hypothesis. There
is not or is
sufficient evidence to support the claim that there is a difference between the weights of discarded paper and discarded plastic.
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