Question

In testing the following hypotheses Ho : p = 0.38 vs Ha: < 0.38, the p-value is found to be 0.8567 with a sample proportion of 0.35. Which of the following statements is true about the p-value? -The probability of observing a population proportion smaller than 0.35 if the true proportion is actually 0.38 is 0.8567. -The probability of observing a sample proportion smaller than 0.38 if the true proportion is actually 0.35 is 0.8567. -The probability of observing a sample proportion smaller than 0.35 if the true proportion is actually 0.38 is 0.8567. -Since the p-value is larger than the difference between 0.38 and 0.35 we should reject the null hypothesis.

          In testing the following hypotheses Ho : p = 0.38 vs Ha: < 0.38, the p-value is found to be 0.8567 with a sample proportion of 0.35. Which of the following statements is true about the p-value?
-The probability of observing a population proportion smaller than 0.35 if the true proportion is actually 0.38 is 0.8567.
-The probability of observing a sample proportion smaller than 0.38 if the true proportion is actually 0.35 is 0.8567.
-The probability of observing a sample proportion smaller than 0.35 if the true proportion is actually 0.38 is 0.8567.
-Since the p-value is larger than the difference between 0.38 and 0.35 we should reject the null hypothesis.
        
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Added by David W.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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In testing the following hypotheses Ho : p = 0.38 vs Ha: < 0.38, the p-value is found to be 0.8567 with a sample proportion of 0.35. Which of the following statements is true about the p-value? -The probability of observing a population proportion smaller than 0.35 if the true proportion is actually 0.38 is 0.8567. -The probability of observing a sample proportion smaller than 0.38 if the true proportion is actually 0.35 is 0.8567. -The probability of observing a sample proportion smaller than 0.35 if the true proportion is actually 0.38 is 0.8567. -Since the p-value is larger than the difference between 0.38 and 0.35 we should reject the null hypothesis.
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Transcript

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00:01 Hi, i'm david and i'm here to help you answer your question.
00:03 Now let me bring up your question here.
00:06 In this question here, we are going to discuss about the p value.
00:11 So let me remind you the meaning of the b value.
00:14 The b value will be the probability of observed, unlist as extreme as the sample.
00:33 This one will be the sample proportion, given that the known hypothesis is true.
00:54 Now in this question here we are given the noon hypothesis with the p equal to 0 .48.
01:01 So therefore in this question here we're given the p value equal to the 0 .712.
01:07 So the 4 p value equal to the z bond 0712...
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