ose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you ca le from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypot mative hypothesis, H₁, as follows. Ho: μ=6 H₁: μ#6 pose you also know the following information. The value of the test statistic based on the sample is -1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) -1.745 Step 3: Shade the area represented by the p-value.

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3) Examine your t-test score in the paired samples t-test table. Is the p value significant? State in one to two sentences whether the test was significant and interpret this result.

Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe =   What is the correct result based on the data?

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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level. The alternative hypothesis would be: p 0.8 u > 0.8 µ < 0.8 p # 0.8 µ # 0.8 o The test is: left-tailed two-tailed right-tailed Based on a sample of 500 people, 75% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals)

#6

Imagine you're a researcher and you need to perform a one-sided test of an alternate hypothesis. You decide to conduct a significance test at the .05 level. Which of the following of ranges of z-scores would make the test statistic significant at .05 (one -tail) but not at .01 . A. z < 1.96 B. 1.645 < z < 1.70 C. z > 1.60 D. - 1.96 < z < 1.96 E 1.645 < z < 2.33

Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%.  Colby was in his most recent class, and his class’s mean score on the final exam was 82%.  Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population.  α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?