Chi-square test Below are some observed data for drug efficacy for a clinical trial where participants either received a placebo, a low dose of the drug, or a high dose. There were 2648 participants. At an α = 0.05 level of significance, perform a test for independence to see if outcome and dosage are dependent.

To examine the effect of relaxing music on math test performance, a researcher wants to compare the average math test scores of participants who completed the test with relaxing music to performance of participants who completed the same math test without music. The partially computed data collected in the study are shown below: Math Test with Music:         Math Test without Music: n1 = 16                                     n2 = 12 M1 = 82                                    M2 = 78 SS1 = 150                                 SS2 = 140 Based on these results, is there a significant effect of relaxing music on math test performance? Use a t-test for independent samples with p < .01, 2-tails to answer this research question. Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors. ANSWER H0: H1: Computed pooled variance sp2: Estimated standard SM1 - M2: Computed t: Critical t-value for…

The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the community and tested for support of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five step model as a guide and write a sentence or two interpreting your results.                        Age   Less than 40 More than 40   Support:       For 145   78 223   Against 103 169 272     248 247 495

Pain medications sometimes come with side effects.  One side effect is dizziness.  A researcher wanted to determine if some pain medications produced more or less dizziness than others.  The results from his study are shown in the table below. Use a test to determine if the proportion of people within each treatment group  who experienced dizziness are the same at the α= .01 level of significance.   Tordol Placebo Naproxen Tylenol Advil Dizziness 83 32 36 5 8 No dizziness 4063 1832 1330 382 337 1) Determine the null and alternative hypotheses. Select the correct pair.   Ho: The proportion of people within each treatment group  who experienced dizziness are the sameHa: The proportion of people within each treatment group  who experienced dizziness are different Ho:The proportion of people within each treatment group  who experienced dizziness are independentHa:The proportion of people within each treatment group  who experienced dizziness are dependent   2) Determine the…