Question

To test Upper H 0 ​: p equals 0.45 versus Upper H 1 ​: p greater...

To test Upper H 0 ​: p equals 0.45 versus Upper H 1 ​: p greater than 0.45​, a simple random sample of n equals 200 individuals is obtained and x equals 69 successes are observed. ​

(a) What does it mean to make a Type II error for this​test? ​

(b) If the researcher decides to test this hypothesis at the alpha equals 0.01 level of​ significance, compute the probability of making a Type II​ error, beta ​, if the true population proportion is 0.49. What is the power of the​ test? ​

(c) Redo part​ (b) if the true population proportion is 0.50.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
To test Upper H 0 : sigma equals 1.6 versus Upper H 1 : sigma greater...
To test Upper H 0 : sigma equals 1.6 versus Upper H 1 : sigma greater than 1.6​, a random sample of size n equals 19 is obtained from a population that is known to be normally distributed. ​(a) If the sample standard deviation is determined to be s equals 2.1​, compute the test statistic. ​(b) If the researcher decides to test this hypothesis at the alpha equals 0.01 level of​ significance, use technology to determine the​ P-value. ​ (c)...
Test the hypothesis using the classical approach and the? P-value approach. Upper H 0 : p...
Test the hypothesis using the classical approach and the? P-value approach. Upper H 0 : p equals 0.50 versus Upper H 1 : p less than 0.50 n equals 150 comma x equals 66 comma alpha equals 0.10 ?(b) Perform the test using the? P-value approach. ?P-valueequals nothing ?(Round to four decimal places as? needed.)
To test Upper H0: σ=50 versus Upper H 1 : sigma < 50​, a random sample...
To test Upper H0: σ=50 versus Upper H 1 : sigma < 50​, a random sample of size n = 28 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 35.6​, compute the test statistic. (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α=0.01 level of​ significance, use technology to determine the ​P-value. The P-value...
In a test of the hypothesis Upper H 0 : mu equals 10 versus Upper H...
In a test of the hypothesis Upper H 0 : mu equals 10 versus Upper H Subscript a Baseline : mu not equals 10 a sample of n=50 observations possessed mean x over=10.6 and standard deviation s=2.7. Find and interpret the​ p-value for this test.
To test Ho: p = 0.38 versus H1: p < 0.38, a simple random sample of...
To test Ho: p = 0.38 versus H1: p < 0.38, a simple random sample of n = 1122 individuals is obtained. The researcher decides to test this hypothesis atα = 0.10 level of significance. Compute the power of the test if the true population proportion is 0.35.
To test Upper H 0​: mu equals20 versus Upper H 1​: mu less than20​, a simple...
To test Upper H 0​: mu equals20 versus Upper H 1​: mu less than20​, a simple random sample of size n=17 is obtained from a population that is known to be normally distributed. ​(a) If x overbar x equals=18.1 and s equals=4.1​, compute the test statistic. t equals=−1.91 ​(Round to two decimal places as​ needed.) c) Approximate the​ P-value. Choose the correct range for the​ P-value below. A. 0.10 less than Upper P dash value less than 0.15 B. 0.15...
In a test of the hypothesis Upper H 0 : mu equals 53H0: μ=53 versus Upper...
In a test of the hypothesis Upper H 0 : mu equals 53H0: μ=53 versus Upper H Subscript a Baseline : mu greater than 53Ha: μ>53​, a sample of n equals 100n=100 observations possessed mean x overbarxequals=52.452.4 and standard deviation sequals=3.53.5. Find and interpret the​ p-value for this test.
To test Upper H 0​: muequals20 versus Upper H 1​: muless than20​, a simple random sample...
To test Upper H 0​: muequals20 versus Upper H 1​: muless than20​, a simple random sample of size nequals17 is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(d). LOADING... Click here to view the​ t-Distribution Area in Right Tail. ​(a) If x overbarequals18.3 and sequals4.5​, compute the test statistic. tequals nothing ​(Round to two decimal places as​ needed.) ​(b) Draw a​ t-distribution with the area that represents the​ P-value shaded. Which of the following...
Consider the following hypotheses. Upper H 0​: p less than or equals 0.23 Upper H 1​:...
Consider the following hypotheses. Upper H 0​: p less than or equals 0.23 Upper H 1​: p greater than 0.23 Given that p overbar =0.325​, n =120​, alpha =0.10​, answer the following questions. Determine the critical​ value(s) of the test statistic = Calculate the test statistic = a. What conclusion should be​ drawn? b. Determine the​ p-value for this test. p-value =
Test the hypothesis using the p-value approach Upper H 0H0​: pequals=0.3 versus Upper H 1H1​: pgreater...
Test the hypothesis using the p-value approach Upper H 0H0​: pequals=0.3 versus Upper H 1H1​: pgreater than>0.3 n=200​; x=65, alphaαequals=0.01 Is np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0greater than or equals≥​10? yes or no p value (round to three decimal places)= (reject or do not reject?) the null hypothesis because the p value is (greater or less) than x.