Reynaldo is conducting a one-sample z‑test of the null hypothesis H0:p=0.64 against the alternative Ha:p>0.64, where p is the population proportion. He requires his results to be statistically significant at a level of 1α=0.01. He selects a random sample of size n = 150 and calculates the sample proportion,  p^ = 0.78.  What is the value of the standardized test statistic?

A data set includes data from student evaluations of courses. The summary statistics are n = 92, x= 3.84, s = 0.62. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O B. Ho: H= 4.00 Ο Α. H0 : μ= 4.00| H1:µ4.00 O D. Ho: H#4.00 H1: µ= 4.00 O C . Η0: μ = 4.00 H1:µ#4.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is evidence to conclude that the mean of the population of student course evaluations is equal to 4.00 correct.

A data set includes data from student evaluations of courses. The summary statistics are n= 84, x= 3.33, s= 0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. H . μ#3.50 О В. Но: и3 3.50 H,: µ> 3.50 H,: µ= 3.50 O C. H: μ= 3.50 H1: µ< 3.50 Ο D . H : μ= 3.50 H1: µ± 3.50

Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67% ? Use a 1% level of significance. USE SALT (a) What is the level of significance? (b) State the null and alternate hypotheses. O Ho: P = 0.67; H₁: p 0.67 O Ho: P 5 and ng > 5. O The Student's t, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) _ Sketch the sampling distribution and show the area corresponding to the P-value. -2 -1 0 1 2 300-3 -2 -1 0 1 2 3 @0-3 -2 (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…

A data set includes data from student evaluations of courses. The summary statistics are n = 92, x = 3.69, s= 0.68. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. ...C. What are the null and alternative hypotheses? O A. H, µ 3.75 H, p=3.75 O B. H, p= 3.75 H, p 3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho There is evidence to conclude that the mean of the population of student course evaluations is equal to 3.75 correct.

A data set includes data from student evaluations of courses. The summary statistics are n=97​, x=3.59​, s=0.55. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

A data set includes data from student evaluations of courses. The summary statistics are n=97​, x=4.19​, s=0.58. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

A data set includes data from student evaluations of courses. The summary statistics are  n=91​,  x=3.92​,  s=0.61. Use a  0.05  significance level to test the claim that the population of student course evaluations has a mean equal to  4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

A data set includes data from student evaluations of courses. The summary statistics are n=99​, x=3.68​, s=0.66. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

A data set includes data from student evaluations of courses. The summary statistics are n=85​, x=4.09​, s=0.56. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.  Determine the test statistic and find the P value.