<p>A certain university has decided to introduce the use of \"minus grades\", as

Question

<p>A certain university has decided to introduce the use of "minus grades", as long as there is evidence that more than 60% of their faculty is in favor of such a change. They survey a random sample of faculty and use a hypothesis test to determine whether to make the change.<br /><br />a. Define the parameter (either &#956; or p) this test involves.</p>
<p>b. Write the null and alternative hypotheses.</p>

Explanation / Answer

a) The parameter is p. µ deals with means and this problem is not asking about the means. p deals with proportions and since this problem is asking about the percentage of faculty who are in favor of introducing "minus grades," then p is the correct parameter. b) Null: H0: p = 0.60 (or p = 0.60) Alternative: HA (or H1): p > 0.60 (Note: Your null hypothesis will always have an equals. So that could be equals to, less than or equals to, or greater than or equals to. Your alternative hypothesis is the opposite of your null hypothesis or vice versa. So if your null hypothesis is equals to, your alternative would be not equal to. If your null hypothesis is less than or equals to, then your alternative would be greater than. Lastly, if your null hypothesis is greater than or equals to, then your alternative would be less than.)

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