An engineer examines the relationship between the weight of a car and its average miles per gallon (MPG). For a sample o

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An engineer examines the relationship between the weight of a
car and its average miles per gallon (MPG). For a sample of 95
cars, he calculates a Spearman rank correlation coefficient of
−0.59. Use Table 1. a. Specify the competing hypotheses to
determine whether the Spearman rank correlation coefficient is less
than zero. multiple choice 1 H0: ρS ≥ 0; HA: ρS < 0 H0: ρS ≤ 0;
HA: ρS > 0 H0: ρS = 0; HA: ρS ≠ 0 b-1. Assume that the
distribution of rS is approximately normal. Calculate the value of
the test statistic. (Negative values should appear with a minus
sign. Round final answer to 2 decimal places.) b-2. Find the
p-value. multiple choice 2 p-value Picture 0.10 p-value < 0.01
0.05 Picture p-value < 0.10 0.025 Picture p-value < 0.05 0.01
Picture p-value < 0.025 c. Can we conclude at the 1%
significance level that a negative relationship exists between a
car’s weight and its average MPG? multiple choice 3 Yes, since we
reject H0. Yes, since we do not reject H0. No, since we reject H0.
No, since we do not reject H0.