(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. O A. There is not sufficient evidence to reject the null hypothesis because the P-value a. OC. There is sufficient evidence to reject the null hypothesis because the P-value a.

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Author:Amos Gilat
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A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each
of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the
a = 0.01 level of significance. Complete parts (a) through (d) below.
A B C
DE
E G H I J
Store
5.95 7.41 3.79 1.77 1.76 2.86 4.75 3.19 2.91 3.73
Store
5.99 7.99 3.98 1.77 1.98 2.42 4.76 3.71 2.94 3.65
(a) What type of test should be used? Choose the correct answer below.
A. A hypothesis test regarding the difference of two means using a matched-pairs design.
O B. A hypothesis test regarding the difference between two population proportions from independent samples.
O C. Ahypothesis test regarding the difference of two means using Welch's approximate t.
O D. A hypothesis test regarding two population standard deviations.
(b) Determine the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: Hd 0; H: Pa =0
0> Prl:H'0 = Prt :0H
OC. Ho: Hd =0; H: P>0
D. Hg Ha = 0; H Pa 0
(c) Use technology to calculate the P-value.
0.279 (Round to three decimal places as needed.)
(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below.
O A. There is not sufficient evidence to reject the null hypothesis because the P-value <a.
O B. There is not sufficient evidence to reject the null hypothesis because the P-value >a.
OC. There is sufficient evidence to reject the null hypothesis because the P-value < a.
O D. There is sufficient evidence to reject the null hypothesis because the P-value >a.
Transcribed Image Text:A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the a = 0.01 level of significance. Complete parts (a) through (d) below. A B C DE E G H I J Store 5.95 7.41 3.79 1.77 1.76 2.86 4.75 3.19 2.91 3.73 Store 5.99 7.99 3.98 1.77 1.98 2.42 4.76 3.71 2.94 3.65 (a) What type of test should be used? Choose the correct answer below. A. A hypothesis test regarding the difference of two means using a matched-pairs design. O B. A hypothesis test regarding the difference between two population proportions from independent samples. O C. Ahypothesis test regarding the difference of two means using Welch's approximate t. O D. A hypothesis test regarding two population standard deviations. (b) Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0; H: Pa =0 0> Prl:H'0 = Prt :0H OC. Ho: Hd =0; H: P>0 D. Hg Ha = 0; H Pa 0 (c) Use technology to calculate the P-value. 0.279 (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. O A. There is not sufficient evidence to reject the null hypothesis because the P-value <a. O B. There is not sufficient evidence to reject the null hypothesis because the P-value >a. OC. There is sufficient evidence to reject the null hypothesis because the P-value < a. O D. There is sufficient evidence to reject the null hypothesis because the P-value >a.
MyStatLab Data Set
StatCrunch Applets Edit Data Stat Graph Help
Row
var1
var2
var3
var4
var5
1
Store 1
Store 2
Product A
5.95
5.99
3.
Product B
7.41
7.99
4
Product C
3.79
3.98
Product D
1.77
1.77
6.
Product E
1.76
1.98
7
Product F
2.86
2.42
8.
9.
Product G
4.75
4.76
Product H
3.19
3.71
10
Product I
2.91
2.94
11
Product J
3.73
3.65
12
13
14
15
16
17
18
19
Transcribed Image Text:MyStatLab Data Set StatCrunch Applets Edit Data Stat Graph Help Row var1 var2 var3 var4 var5 1 Store 1 Store 2 Product A 5.95 5.99 3. Product B 7.41 7.99 4 Product C 3.79 3.98 Product D 1.77 1.77 6. Product E 1.76 1.98 7 Product F 2.86 2.42 8. 9. Product G 4.75 4.76 Product H 3.19 3.71 10 Product I 2.91 2.94 11 Product J 3.73 3.65 12 13 14 15 16 17 18 19
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