Part III. Chi-Square Goodness-of-Fit Test In Lab 9 we investigated the primary personality categories of statistics students. The data are reprinted below. Analysts Diplomats Sentinels Explorers 17 3 Question #9 If statistics students are equally likely to be any of the four personality types, how many of each personality type would we expect to see in our sample? Question #10 Write out the null and alternative hypothesis for this goodness-of-fit test. Question #11 Compute your test statistic by hand. Question #12 What is the sampling distribution of your test statistic (ie., what is the type of distribution and the degrees of freedom)? 7Question #13 Verify that the critical value for a 5% significance level is about 7.81, by looking at a Chi Square table (Table F in the book, or find one online). What do you conclude about the personality types who take statistics classes?

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Part III. Chi-Square Goodness-of-Fit Test
In Lab 9 we investigated the primary personality categories of statistics students. The data are reprinted below.
Analysts
Diplomats
Sentinels
Explorers
17
3
Question #9 If statistics students are equally likely to be any of the four personality types, how many of each
personality type would we expect to see in our sample?
Question #10 Write out the null and alternative hypothesis for this goodness-of-fit test.
Question #11 Compute your test statistic by hand.
Question #12 What is the sampling distribution of your test statistic (ie., what is the type of distribution and
the degrees of freedom)?
7Question #13 Verify that the critical value for a 5% significance level is about 7.81, by looking at a Chi
Square table (Table F in the book, or find one online). What do you conclude about the personality types who
take statistics classes?
Transcribed Image Text:Part III. Chi-Square Goodness-of-Fit Test In Lab 9 we investigated the primary personality categories of statistics students. The data are reprinted below. Analysts Diplomats Sentinels Explorers 17 3 Question #9 If statistics students are equally likely to be any of the four personality types, how many of each personality type would we expect to see in our sample? Question #10 Write out the null and alternative hypothesis for this goodness-of-fit test. Question #11 Compute your test statistic by hand. Question #12 What is the sampling distribution of your test statistic (ie., what is the type of distribution and the degrees of freedom)? 7Question #13 Verify that the critical value for a 5% significance level is about 7.81, by looking at a Chi Square table (Table F in the book, or find one online). What do you conclude about the personality types who take statistics classes?
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