8. The p-value in hypothesis testingrepresents which of the following: Pleaseselect the best answer of those providedbelow.Group of answer choicesThe probability of failing to reject thenull hypothesis, given the observedresultsThe probability that the null hypothesisis true, given the observed resultsThe probability that the observedresults are statistically significant, giventhat the null hypothesis is trueThe probability of observing results asextreme or more extreme than currentlyobserved, given that the null hypothesisis true

According to the given information in this question We need to identify the correct option

Answered: 8. The p-value in hypothesis testing…

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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What is the correct interpretation of the significance level a in a hypothesis test? The probability that H, is true given that Ho is NOT rejected The probability that Ho is true given that Ho is rejected The probability of NOT rejecting Ho given that H, is true The probability of rejecting Ho given that Ho is true
The probability value (p-value) for a hypothesis test represents a the probability the researcher made an error. b the probability of obtaining the data when HA is true. c the probability that the researcher made a correct decision. d the probability of obtaining the data when H0 is true.
K The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.0647 .. (a) Do you reject or fail to reject Ho at the 0.01 level of significance? OA. Reject Ho because the P-value, 0.0647, is greater than α=0.01. O B. Fail to reject Ho because the P-value, 0.0647, is less than α = 0.01. O C. Fail to reject Ho because the P-value, 0.0647, is greater than a = 0.01. OD. Reject Ho because the P-value, 0.0647, is less than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? OA. Fail to reject Ho because the P-value, 0.0647, is greater than α=0.05. OB. Reject Ho because the P-value, 0.0647, is greater than a = 0.05. OC. Reject Ho because the P-value, 0.0647, is less than a = 0.05. O D. Fail to reject Ho because the P-value, 0.0647, is less than a = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? 1
b. A manufacturer conducts a study to determine individuals who would like to own an iWatch. To collect the data, people are sent a survey via email. The following table summarises the data collected that relates to the peoples' gender. Male Female Total 32 ( ) 20 ( Want iWatch Don't Want iWatch 118 ( ) 120 ( Total i. Find all expected counts and add them to the table above. ii. Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether the desire to own an iWatch and the consumer's gender is not independent. )
Suppase there is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. 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, Hy and the alternative hypothesis, H, as follows. Ho p29 Suppose you also know the following information. The value of the test statistic based on the sample is -1.995 (rounded to 3 decimal places). The p-value is 0.023 (rounded to 3 dedmal places). (a) Complete the steps below for this hypothesis test. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. 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 than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less…
Hypothesis Testing Review For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not have to run any hypothesis tests, although it's good practice and I'll post answers for all of them. 1) A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. 2) In 1997, a survey of 880 households showed that 145 of them use e-mail. Use those sample results to test the claim that more than 15% of households use e-mail. Use a 0.05 significance level.
A researcher is interested in whether people are more or less likely to enjoy popcorn when they are watching TV versus watching a movie. The researcher recruits 12 participants and randomly assigns them to eat popcorn either while watching T or while watching a movie. Then, the researcher measures now much each participant enjoyed the popcorn on a scale from 1 to 10. The researchers' results are shown below: Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the researcher should conclude about the effect of watching television versus watching a movie on people's enjoyment of popcorn. 1. What is the appropriate test to use ? 2. List the test's assumptions You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = .05), determine the…
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What is the correct interpretation of the p-value? The probability our alternative hypothesis is true O The probability our null hypothesis is true, given extremes similar to our sample The probability our sample is correct The probability our null hypothesis is false, given extremes similar to our sample
please solution with detail.
Fill in the blank. A p-value is the probability Choose the correct answer below. O A. Ap-value is the probability that the null hypothesis is true. B. A p-value is the probability of observing the actual result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is false. c. Ap-value is the probability of observing the actual result, a sample mean, for example. D. A p-value is the probability of observing the actual result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true.

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