A manufacturer conducted an experiment to determine if the number of product purchases depends on the color scheme used in the packaging. Stores in three locations were randomly selected to track the sales of the product with packaging in black and gold compared with packaging in red and blue. Since the number of product purchases varies among different locations, the three locations were used as blocks in the experiment. The data obtained follow.

	Color scheme
Location	Black and Gold	Red and Blue
A	51	43
B	55	43
C	62	46

Use = 0.05 to test for any significant differences.State the null and alternative hypotheses.

• H₀: _A = _B = _C, H_a: _{A B} c
• H₀: _{Black & Gold} = _{Red & Blue,} H_a: _{Black & Gold Red & Blue}
• H₀: _{A B C,} H_a: _A = _B = _C
• _H0: _{Black & Gold Red & Blue,} H_a: _{Black & Gold} = _{Red & Blue}
• _H0: _{Black & Gold} = _{Red & Blue} = _A = _B = _C, H_a: Not all the population means are equal.

Find the value of the test statistic. (Round your answer to two decimal places.)

______________

Find the p-value. (Round your answer to three decimal places.)

P value = _________

State your conclusion.

• Do not reject H₀. There is sufficient evidence to conclude that the mea number of purchases are not the same for both color schemes.
• Reject H₀. There is sufficient evidence to conclude that the mean number of purchases are not the same for both color schemes.
• Reject H₀. There is not sufficient evidence to conclude that the mean number of purchases are not the same for both color schemes.
• Do not reject H₀. There is not sufficient evidence to conclude that the mean number of purchases are not the same for both color schemes.