WEBVTT
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This is a basic question. Now move your party
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. What is going to be Arnel hypothesis? Um
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, null hypothesis in this case will become that my
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immune is less than or equal to 3173 Right.
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And my alternative hypothesis will become what it will become
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that my new is greater than 3173 Okay, now
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moving on the part B. Right? The party
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says that I want to find the p value for
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a sample of 1 80 undergraduate students with the sample
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mean off 33 to 5. All right, so
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I'm going to use the Z statistic in this case
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. So what? How do we find the Z
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value? It is our sample mean, which happens
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to be 33 to 5, minus the hypothesized mean
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, which happens to be 3173 Upon the standard deviation
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that we have, that is 1000, right?
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The population standard deviation upon route off the sample size
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, which happens to be 1 80. Okay,
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Now this part of the denominator happens to be the
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best estimator for our sample standard deviation. So hence
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we're doing this. And this is also the formula
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. You can check in the textbook. Now,
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if I use my calculated to find this, this
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value turns out to be 2.39 My Z sadistic Turns
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out to be 2.39 Now, how do you find
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the P value? I have my Z statistic.
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I can use any statistical software or any online tool
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to find my p value. Just input the zed
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value and you get the P value. And in
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this case, I am getting my P value as
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zero point 0207010207 Okay, what is part C.
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Parsi says we have to use this 0.5 level of
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significance and conclude if I use 0.5 level of significance
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, it means that my Alfa is 0.0 fight and
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I can see that my P is less than Alfa
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Hence, my result is statistically significant, so I
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can reject my It's not I can reject. It's
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not okay, So if we go back, what
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does that It's not It's not once that mu is
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less than equal toe. Three point. Sorry.
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3173 So, yes, I can say that I
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have enough statistical evidence to suggest that there has been
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an increase in the mean balance and it is more
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than 3173 So, yes, we can say that
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we have enough evidence. Sufficient statistical evidence to support
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the claim right to support the claim often increase.
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This is how we go about doing this question.