Null HypothesisAlternative HypothesisTwo methods to hypothesis testing:Test (insert the symbols)Two tailed H0H1Critical value approach- compare a test zscore agaTwo tailed, Upper Tailed, or Lower Tailed?Ho: u = 56 H1: u /= 56

Ho: u <= 56Upper ; alternative hypothesis has > symbol.H1: u > 56Ho: u >= 56Lower ; alternative hypothesis has < symbol.H1: u < 56

Trying to prove to be trueThe = (=, ≤ , ≥)ALWAYS goes in the Null Hypothesis; believed to be trueainst a critical zscoreThis test would be used by someone that wants to prove that the average is __differentthan 56.

This test would be used by someone that wants to prove that the average is ___higher_ than 56.This test would be used by someone that wants to prove that the average is _less____ than 56.

pvalue methodExcel Function we use to get the pvalue from our test statistic (t-score) = t.dist(txbar tscore,df,true)The P value, or calculated probability, is the probability of finding the observed, or more extreme, results when the null hypothesis (H 0) of a study question is trueThe p-value represents the likelihood that we would get a sample mean as far from the mean or further if the population mean is truly the value in the hypothesis test. If this probability is very low (less than alpha) then there is little chance that the null hypothesis is true and we would reject Ho.________________________.excel function we use to get the pvalue from our test statistic (z-score)=NORM.S.DIST(xbar zscore,true).When we have a two-tailed test, we multiply the pvalue by ___2___________.

Hypothesis Testing for the Population Mean when σ is KnownNote whether you have an upper, lower, or two-tailed test by the sign in H1 (the alternative)Alpha ValueFor two-tailed test divide level of significance by 2. (do not divide for single tailed tests)(threshold)For hypothFor hypothFor hypothFor hypothStep 1: Identify the null (H0) and alternative hypotheses (H1)Step 2: Set a value for the level of significance (α)Step 3: Determine the appropriate critical values (z-score)One-Tailed Test: Find z-score at __α_______ in the tailLower-taileUpper-taileLower-taileUpper-taileTwo-Tailed Test: Find z-score with _ α/2______ in the tailTwo-tailed Two-tailed Step 4: Calculate the test statistic (zxbar, txbar, or zp)

If you found in Step 5 that you can reject H0, you can draw the conclusion in H1If you found in Step 5 that you cannot reject H0, then you are unable to draw the conclusion in H1Formula for the z-Test statistic for a Hypothesis Test for the population mean (σ known) (zxbar)Formula for the z-Test statistic for a Hypothesis Test for the population mean (σ known) (txbar)Step 5: Compare the z-test statistic with the crtitical z-scoreStep 6: State your conclusion which will either be:nσμxzHx0nsμxtx

)hesis tests on mean when σ is known and hypothesis tests on proportions:hesis tests on mean when σ is unknown:hesis tests on mean when σ is known and hypothesis tests on proportions:hesis tests on mean when σ is unknown:ed tests: zα=NORM.S.INV(α) (z-score should be negative)ed tests: zα