Question

Part (d) State the distribution to use for the test. (Enter your answer in the form z or t_df where df is the degrees of freedom. Round your answer to two decimal places.) t_5 Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) Part (f) What is the p-value? (Round your answer to four decimal places.) 3.7298 Explain what the p-value means for this problem. If H_0 is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. If H_0 is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. If H_0 is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. If H_0 is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. Part (g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. p-value 0 x_M - x_F 1/2(p-value) 1/2(p-value) 0 x_M - x_F p-value 0 x_M - x_F 1/2(p-value) 1/2(p-value) 0 x_M - x_F Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) alpha = 0.05 (ii) Decision: reject the null hypothesis

          Part (d)
State the distribution to use for the test. (Enter your answer in the form z or t_df where df is the degrees of freedom. Round your answer to two decimal places.)
t_5
Part (e)
What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
Part (f)
What is the p-value? (Round your answer to four decimal places.)
3.7298
Explain what the p-value means for this problem.
If H_0 is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1.
If H_0 is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1.
If H_0 is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1.
If H_0 is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1.
Part (g)
Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
p-value
0 x_M - x_F
1/2(p-value) 1/2(p-value)
0 x_M - x_F
p-value
0 x_M - x_F
1/2(p-value) 1/2(p-value)
0 x_M - x_F
Part (h)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
alpha = 0.05
(ii) Decision:
reject the null hypothesis

$Part (d) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) t5 Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) Part (f) What is the p-value? (Round your answer to four decimal places.) 3.7298 Explain what the p-value means for this problem. If H0 is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. If H0 is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. If H0 is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. If H0 is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. Part (g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. p-value 0 xM - xF 1/2(p-value) 1/2(p-value) 0 xM - xF p-value 0 xM - xF 1/2(p-value) 1/2(p-value) 0 xM - xF Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) alpha = 0.05 (ii) Decision: reject the null hypothesis$

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