A researcher performed a two-sample independent groups t-test and obtained a calculated value of t- 0. How could this happen and what would the investigator conclude: Ot-Oif and only if the sample mean differenge is zero, and the investigator would fail to reject the null hypothesis Ot. Oif and only it the sample mean difference is zero, and the investigator would reject the null hypothesis. Ot-Oif and only if the population mean difference is zero, and the investigator would reject the nul ypothesis. Ot-Oit and only it the population mean difference is zero, and the investigator would tail to reject the null hypothesis O This is not a valid result.

Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.29 H,: p 0.29 О В. Но: р#0.29 H,:p=0.29 Ос. Но: р30.20 H4: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.)

Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat).  A random sample of 100 individuals yields the following crosstabulation: Political Affiliation               Place of Residence                Republican       Democrat               Rural                                        21                        29               Urban                                       14                        36 a) In words, what is the null hypothesis to be tested?   b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.)   c) Compute and interpret an appropriate measure of association for the relationship between these two variables.

Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 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. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…