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 0.05 level of significance. Complete parts (a) through (d) below. Store 1 Store 2 ABCDEFGHIJ 5.94 7.46 3.77 1.73 1.72 283 4.72 3.11 293 3.78 5.98 7.98 3.93 1.73 1.97 2.46 4.76 3.79 2.99 3.66 (a) What type of test should be used? Choose the correct answer below OA. A hypothesis test regarding the difference of two means using a matched-pairs design. OB. A hypothesis test regarding the difference of two means using Welch's approximate t OC. A hypothesis test regarding the difference between two population proportions from independent samples. OD. A hypothesis test regarding two population standard deviations (b) Determine the null and atemative hypotheses. Choose the correct answer below. OA Ho! Mg #0₁ H₁: Pg=0 OB. HHO H₁0 OC H₂H0H₁1420 OD H0H₁0 (c) Use technology to calculate the P-value Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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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 0.05 level of significance. Complete parts (a) through (d) below.
Store
1
Store
2
ABCDEFGHIJ
5.94 7.46 3.77 1.73 1.72 283 4.72 3.11 293 3.78
5.98 7.98 3.93 1.73 1.97 2.46 4.76 3.79 2.99 3.66
(a) What type of test should be used? Choose the correct answer below
OA. A hypothesis test regarding the difference of two means using a matched-pairs design
OB. A hypothesis test regarding the difference of two means using Welch's approximate t
OC. A hypothesis test regarding the difference between two population proportions from independent samples.
OD. A hypothesis test regarding two population standard deviations
(b) Determine the null and atemative hypotheses. Choose the correct answer below.
OA Ho! Mg #0₁ H₁: Pg=0
OB. H₂H0H₁0
OCH HO, H, 10
ODHOH 0
(c) Use technology to calculate the P-value
Round to three decimal places as needed.)
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 0.05 level of significance. Complete parts (a) through (d) below. Store 1 Store 2 ABCDEFGHIJ 5.94 7.46 3.77 1.73 1.72 283 4.72 3.11 293 3.78 5.98 7.98 3.93 1.73 1.97 2.46 4.76 3.79 2.99 3.66 (a) What type of test should be used? Choose the correct answer below OA. A hypothesis test regarding the difference of two means using a matched-pairs design OB. A hypothesis test regarding the difference of two means using Welch's approximate t OC. A hypothesis test regarding the difference between two population proportions from independent samples. OD. A hypothesis test regarding two population standard deviations (b) Determine the null and atemative hypotheses. Choose the correct answer below. OA Ho! Mg #0₁ H₁: Pg=0 OB. H₂H0H₁0 OCH HO, H, 10 ODHOH 0 (c) Use technology to calculate the P-value Round to three decimal places as needed.)
(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below.
OA. There is not sufficient evidence to reject the null hypothesis because the P-value < x.
OB. 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.
OD. There is sufficient evidence to reject the null hypothesis because the P-value > α.
Transcribed Image Text:(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. OA. There is not sufficient evidence to reject the null hypothesis because the P-value < x. OB. 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. OD. There is sufficient evidence to reject the null hypothesis because the P-value > α.
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