An urn contains red balls and blue balls. Let p represent the proportion of red balls.We would like to testHo: p = 0.5We choose 10 balls at random with replacement and we reject the null hypothesis ifthere are less than 2 or more than 8 red balls in the sample. What is the probabilityof a Type II error if in fact p=0.3?pbinom(7,10,0.3)-pbinom (2,10,0.3)pbinom(8,10,0.3)-pbinom (1,10,0.3)pbinom(8,10,0.3)-pbinom (2,10,0.3)pbinom(7,10,0.3)-pbinom (1,10,0.3)

Type II error is the probability of not rejecting the null hypothesis when it is actually false.

Answered: An urn contains red balls and blue…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

6. To test the null hypothesis H0: µ ≥ 25. A sample of 20, sample mean is 23, sample variance is 16. The test will be used is: Select one: Left-tail t- test Two tails t-test Right-tail t-test Right-tail z test
65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
R can be used to find the critical value for an F distribution for a given significance level. For example, to find the critical value (the value above which you would reject the null hypothesis) for a = 0.05 with dfbetween = 6 and dfwithin = 56, then F1-0.05 is found with: qf (1-0.05, df1=6, df2=56) Enter this code into RStudio to confirm you obtain the value 2.266. You conduct a one-way ANOVA with 4 groups and 8 subjects in each group (a balanced design). Use RStudio to find the critical values for a = 0.10 and a = 0.01 (report accurate to 3 decimal places). F1-0.10 = 4.191 X F1-0.01 = 96.694 X
Туре Freq. 11.15 A theory says that in a certain population, half the objects are of type A and the remainder are evenly divided among three types, B, C, and D. A random sample from the population breaks down as shown in the table at right. Does the data show 25 13 8. a statistically significant departure from what the theory predicts? Test using a = .05. ABCD
I need assitance with how the answers in the table were conducted. And how to calculate the residuals uA and uB and add them to the table. SSR All Answers are provided and correct.
Random sample of team members average practice time. Team A: x-bar=52.3, s=9.7, n=125 Team B: x-bar=45.6, s=13.3, n=120 a) Does the data provide convincing statistical evidence that team B spends less time practicing, on average, than those on Team A? b) What type of error, Type I or Typy II, could have been made and the consequences?
Please see below. I need help with this asap please and thank you. Note that I'm only given one attempt at this. I have worked this out already, but I'm not 100% certain my answers are right.
Number 5
Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…
2 K significance level to test that claim. Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 22%. Use a 0.01 Z Statcrunch Identify the null and alternative hypotheses for this test. Choose the correct answer below. 2 W S A. Ho: p=0.22 H₁ p0.22 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Tech help X H command SO FS #3 E D 888 FA $ 4 C R F % 5 V FS T G MacBook Air B F6 Y I & 7 U N *00 8 J M 1888 O 9 K O H F10 L P command { [ alt ? option Next } delete ent res
Suppose there is a claim that a certain population has a mean, 4, that is different than 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H1 as follows. Ho: u=5 H: H=5 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.574 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3+ Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), choose the correct statement. The value of the test…

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS