1) What is the null and alternative hypothesis? 2) The proper distribution for performing this test is... 3) The appropriate decision in statistical terminology is...reject or fail to reject the null 4)  The appropriate decision with respect to the given question: i         The data supports the claim that the banana is the favorite fruit of over 50% of adults. ii        The data does not support the claim that the banana is the favorite fruit of over 50% of adults. iii       Insufficient information to make a decision

Suppose that in a random selection of 100 colored candies, 24% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. H,: p>0.29 OC. H, p=0.29 H, p#0.29 O D. Ho p+0.29 H, p=0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject H. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to…

a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a.

A. Suppose we want to test whether or not three means are equal. We want to perform this test with a 8% significance level.If we perform an ANOVA test, what is the probability of the test producing accurate results (avoiding a Type I error)? B. Suppose we, instead, run three separate hypothesis tests (t-tests), each with 8% significance level. Mean 1 = Mean 2Mean 1 = Mean 3Mean 2 = Mean 3What is the probability that all three tests would be accurate? C. Why is an ANOVA test more accurate than 3 different tests?

In a survey, each participant indicated how much they agreed with the statement, "Hard work is the way to get what you want in life." Which of the following would you expect to have zero correlation, or close to zero correlation, with the response to the above statement? A) Agreement with the statement, "Happiness mostly depends on luck."   B) Conscientiousness score on a personality inventory test.   C) High school GPA.   D) A random number between 0 and 10, chosen by the participant.

a. if the null hypothesis is true (avg. anxiety level score of children in the sample is the same as the avg. nationwide score; mu = 100), what can you say about the distribution of x-bar among simple random samples of 46 children? b. calculate the p-value on this distribution. given the p-value, what conclusions can you draw?

1

As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.

Use the P-Value method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. 23)Five students took a math test before and after tutoring. Their scores were as follows. Subject A B C D E Before 71 66 75 78 66 After 75 75 73 81 78 Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores.