(a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Họ: H = 4%; H,: µ > 4%; right-tailed O Họ: H = 4%; H,: µ + 4%; two-tailed O Họ: H > 4%; H,: µ = 4%; right-tailed O Ho: H = 4%; Hạ: µ < 4%; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with known a. O The Student's t, since we assume that x has a normal distribution with known a. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since n is large with unknown a. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 o-3 o-3 2 -1 0 1 2 -2 -1 0 1 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Họ: H = 4%; H,: µ > 4%; right-tailed O Họ: H = 4%; H,: µ + 4%; two-tailed O Họ: H > 4%; H,: µ = 4%; right-tailed O Ho: H = 4%; Hạ: µ < 4%; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with known a. O The Student's t, since we assume that x has a normal distribution with known a. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since n is large with unknown a. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 o-3 o-3 2 -1 0 1 2 -2 -1 0 1 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with o = 3.3%. A random sample of 10 bank stocks gave the following yields (in percents).
5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1
The sample mean is x = 5.38%. Suppose that for the entire stock market, the mean dividend yield isu = 4.0%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.0%? Use a = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O Ho: H = 4%; H: H > 4%; right-tailed
O Ho: H- 4%; H: u + 4%; two-tailed
O Ho: H > 4%; H: u - 4%; right-tailed
O Ho: H = 4%; H: u < 4%; left-tailed
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since we assume that x has a normal distribution with known o.
O The Student's t, since we assume that x has a normal distribution with known o.
O The standard normal, since we assume that x has a normal distribution with unknown o.
O The Student's t, since n is large with unknown o.
Compute the z value of the sample test statistic. (Round your answer
two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
o-3
-2
-1
1
2
o-3
-2
-1
1
3
O-3
-2
-1
1
2.
3
o-3
-2
-1
1
3
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
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