Based on this information, complete the parts below.(a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for1the test?XH :O One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You aninterested in the mean score, u, among the general population on this subsection. The website reports that u is 145, but you hayreason to believe that u differs from 145. You decide to do a statistical test. You choose a random sample of people and have thethe personality test. You find that their mean score on the subsection is 141 and that the standard deviation of their scores is 22.Based on this information, complete the parts below.What are the null hypothesis H, and the alternative hypothesis H that should he used for

Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for…

Answered: (a) What are the null hypothesis H. and…

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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We are testing a null hypothesis Ho:P1=P2 against an alternative hypothesis H7:P1 P2 where n = 50, x1 = 11, and n2 = 75, x2 =24. Find the value of the test statistic. 1.22 -1.89 -1.22 -.99
(c) Fort= 1.653, should you reject or fail to reject the null hypothesis?
State whether the standardized test statistic z indicates that you should reject the null hypothesis. (a) z= 1.225 (b) z = - 1.329 (c) z = - 1.517 (d) z = - 1.158 2 =-1285 (a) For z= 1.225, should you reject or fail to reject the null hypothesis? O A. Fail to reject H, because z - 1.285. O C. Fail to reject H, because z> - 1.285. O D. Reject H, because z<- 1.285.
The null hypothesis: H, : 0 The alternative hypothesis: H 1 :0 The type of test statistic: (Choose one) - The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.1 level of significance: |and || (Round to at least three decimal places.) Can we conclude that the mean travel times of the Yes O No two routes are different?
Suppose there is a claim that a certain population has a mean, H, 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 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: u= 5 H1: u=5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.506 (rounded to 3 decimal places). The p-value is 0.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less…
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Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (p) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (HM) would equal , and the standard deviation of your sampling distribution of means (that is, the standard error or GM) would be The following chart shows the sampling distribution of the…
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Suppose there is a claim that a certain population has a mean, u, that is equal to 6. 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 0.10 level of significance. To start this test, you write the null hypothesis, H, and the alternative hypothesis, H, as follows. 国 Hoi u=6 Hi u#6 An Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (b) Based on your answer to part (a), which statement below is true? o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since…
Other things being equal, which of the following actions will reduce the power of a hypothesis test?I. Increasing sample size. II. Changing the significance level from 0.01 to 0.05. III. Increasing beta, the probability of a Type II error.(A) I only (B) II only (C) III only (D) All of the above (E) None of the abovePlease explain your answering showing how you solved it.
NT #2 You wish to test if the proportion of adults in a small town who are fully vaccinated differs from 55%. You select a random sample of 258 adults in this town and find that 120 of them are fully vaccinated. Set up an appropriate hypothesis test, calculate the p-value and state your conclusion. Use a significance level of a = .01.

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(a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for μ the test? H, :0 O