Math  /  Data & Statistics

Questionstudent wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both ores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference etween the two stores. Use the α=0.005\alpha=0.005 level of significance. Complete parts (a) through (d) below. \begin{tabular}{rcccccccccc} & A & B & C & D & E & F & G & H & I & J \\ Store & 5.96 & 7.48 & 3.75 & 1.72 & 1.71 & 2.88 & 4.75 & 3.19 & 2.96 & 3.75 \\ 1\mathbf{1} & & & & & & & & & & \\ Store & 5.93 & 7.92 & 3.93 & 1.79 & 1.94 & 2.41 & 4.74 & 3.77 & 2.97 & 3.65 \\ 2\mathbf{2} & & & & & & & & & & \end{tabular} (c) Use technology to calculate the P-value. 0.356 (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. A. There is sufficient evidence to reject the null hypothesis because the P -value <α<\alpha. B. There is not sufficient evidence to reject the null hypothesis because the PP-value >α>\boldsymbol{\alpha}. C. There is sufficient evidence to reject the null hypothesis because the PP-value >α>\alpha. D. There is not sufficient evidence to reject the null hypothesis because the PP-value <α<\boldsymbol{\alpha}.

Studdy Solution
Draw a conclusion based on the hypothesis test:
Since the P-value 0.3560.356 is greater than the significance level α=0.005\alpha = 0.005, we do not have sufficient evidence to reject the null hypothesis.
Choose the correct answer:
B. There is not sufficient evidence to reject the null hypothesis because the PP-value >α>\boldsymbol{\alpha}.

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