exercise:B922e5ac56: Difference between revisions
From Stochiki
(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> John claims that he has extrasensory powers and can tell which of two symbols is on a card turned face down (see Example). To test his ability he is asked to do this for a sequence of trials. Let the null hypoth...") |
No edit summary |
||
| Line 1: | Line 1: | ||
John claims that he has extrasensory powers and can tell which of two symbols is on a card turned face down (see [[guide:E54e650503#exam 3.12 |Example]]). To test his ability he is asked to do this for a sequence of trials. | |||
which of two symbols is on a card turned face down (see [[guide:E54e650503#exam 3.12 |Example]]). | |||
To test his ability he is asked to do this for a sequence of trials. | |||
Let the null hypothesis be that he is just guessing, so that the probability is 1/2 of | Let the null hypothesis be that he is just guessing, so that the probability is 1/2 of | ||
his getting it right each time, and let the alternative hypothesis be that he can name | his getting it right each time, and let the alternative hypothesis be that he can name | ||
Latest revision as of 23:08, 12 June 2024
John claims that he has extrasensory powers and can tell which of two symbols is on a card turned face down (see Example). To test his ability he is asked to do this for a sequence of trials. Let the null hypothesis be that he is just guessing, so that the probability is 1/2 of his getting it right each time, and let the alternative hypothesis be that he can name the symbol correctly more than half the time. Devise a test with the property that the probability of a type 1 error is less than .05 and the probability of a type 2 error is less than .05 if John can name the symbol correctly 75 percent of the time.