Briefly explain how sample size affects the statistical significance of an observed result. Decide between the null hypothesis and the alternative hypothesis. What is the value of p-hat = percentage of ‘Yes’ votes? How does it compare to the sample proportion for the sample used in parts b? Use Minitab Express to do a hypothesis test using the null hypothesis and alternative hypothesis in part f. Suppose the survey had 94 ‘Yes’ responses out of 200 people (instead of 940 out of 2000). How are the answers different from before? Explain how the alternative hypothesis affects the results of the hypothesis testing.
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You'll need to change one of the options when performing the hypothesis test in Minitab Express. What is p-hat = percentage the alternative hypothesis of ‘Yes’ votes of the sample. Suppose the study intended to find out if more than 50% of the votes will vote ‘Yes.’ In other words, the null hypothesis is the same as before but s is that the ‘Yes’ vote percentage is larger than 0.5 (50%). Write a conclusion about how the proportion of residents in the city who will vote ‘Yes’ on Scotland independence.į. What value is given for the test statistic Z in the output?ĭ. Click on Options and use the default 95 for “Confidence level.” Select the alternative hypothesis as “Proportion < hypothesized proportion.” Choose “Normal approximation” for Method.
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Check the box that says “Perform hypothesis test”, and enter 0.50 in the box labeled “Hypothesized proportion:”. Enter 940 for “Number of events”, and 2000 for “Number of trials”. Minitab will provide the p-value but if doing by hand using Table A1 observe the following:įor Ha: p ≠ po then the p-value = 2P(Z ≥ |z|) That is, find 1 – P(Z po then the p-value = P( Z ≥ z)įor Ha: p One Sample > Proportion, click the first drop-down menu underneath the word “Data”, and select Summarized Data. Keep this in mind: The method for finding the p-value is based on the alternative hypothesis.
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P-value Guidelines when using Standard Normal Table (i.e. Hypothesis Testing – Proportion and One Mean