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Formula found on pg. 503 You are not using the equation with standard deviations 1, 2, and 3. You will use z* values Critical values (z*) for 8 different confidence levels found on pg. 502 P-hat = # said yes / # in sample To find answer on graphing calculator: STAT, TEST, 1 PROP Z-INT. Enter values for x (# said yes), n (# in sample), and the confidence level. Type 1: It’s right, but you say it’s wrong. (You reject, but it was true) Type 2: It’s wrong, but you say it’s right. (You fail to reject, but it was false) Ho: Null Hypothesis: ≤, ≥, and = Ha: Alternative Hypothesis: <, >, and ≠ To decide which “tail” test a problem uses, look at Ha: Ha is <: It’s a left tail test Ha is >: It’s a right tail test Ha is ≠: It’s a two tail test Identifying p, p-hat, and q p is the population proportion (the percentage that they claim is true). This is the number that is mentioned in the null and alternative hypotheses. q is the complement of the population proportion (1-p). p-hat is the sample proportion (the percentage that they have found during a survey) You will need the Critical Values Table that uses the significance value and tail test value (found in white book on page 353…and in your notes). This will give you the critical value to serve as the barrier for your graph. Shade the appropriate area(s) on your graph based on this barrier. The shaded area is your rejection region. Z-score formula (found in white book on page 374…and in your notes) This value will lie either in the “reject Ho” or “fail to reject Ho” region. If it lies exactly on the critical value line, you “fail to reject Ho”. The statement you make is in terms of the original claim (not necessarily the null hypothesis)…read the problem carefully! Expected Counts – Remember how to calculate these: (row total * column total ) / table total