A clinical psychologist wanted to examine the relative effectiveness of cognitive-behavioral therapy (CBT) and behavioral therapy (BT) for depression. A sample of 20 depression patients were randomly selected and assigned to either of the two therapy methods. The data below presents the effectiveness rated by independent judges. Test whether one method is better than the other at .05 significance level (non-directional) by answering the following questions? CBT: 4, 8, 5, 7, 6, 9, 8, 6, 7, 8 BT: 3, 5, 4, 8, 6, 2, 4, 6, 5, 7 1) Present the hypotheses 2) Other than assumptions about sampling and normal distribution, what other assumptions are made for this test? 3) What are the df and the critical value for this test? 4 4) Provide Sum of squares (SS). Then, using the SS, compute the variance for the CBT. You MUST show the process of how you got the variance from SS (if you do NOT show a valid process, no credit is assigned) 5) Provide Sum of squares (SS). Then, using the SS, compute the variance for the BT. You MUST show the process of how you got the variance from SS (if you do NOT show a valid process, no credit is assigned) 6) What is t_observed in your computation? Provide the numerator and denominator values as well Numerator: Denominator: t_observed:

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 310 139 36 Female 335 156 34 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Họ: The sex of the respondent and the choice for the cause of global warming are independent. H1: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. 0.422 (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed.…

In a clinical trial of a drug intended to help people stop smoking, 125 subjects were treated with the drug for 12 weeks, and 14 subjects experienced abdominal pain. If someone claims that more than 8% of the drug's users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.17 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test. The power of 0.95 shows that there is a % chance of rejecting the hypothesis of p = when the true proportion is actually That is, if the proportion of users who experience abdominal pain is actually then there is a % chance of supporting the claim that the proportion of than 0.08. users who experience abdominal pain is (Type integers or decimals. Do not round.)

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a   0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to​ agree, or is there a substantial​ difference? identify the null and alternative hypothesis   What is the test statistic? What is the p-value? What is the critical value?               Human activity Natural patterns Don't know   Male 343 150 28   Female 356 173 30   Chi-Square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 ​- ​- 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103…

The table below lists body temperatures obtained randomly selected subjects. The temperatures are categorized according to gender and whether the subject uses drug. Using a 0.05 significance level, test for an interaction between gender and usage of drug, test for an effect from gender, and test for an effect from usage of drug. What do you conclude? Use Drug Does Not Use Drug Male 98.4  97.4  96.8  98.2 98.4  97.4  97.4  98.0 Female 98.6  99.3  98.2  98.6 97.0  98.4  97.2  98.7

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 334 156 48 Female 314 134 44 Click here to view the chi-square distribution table. Но The sex of the respondent and the choice for the cause of global warming are independent. Hy: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is…

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to​ agree, or is there a substantial​ difference?                       Human activity                               Natural patterns                           ​Don't know Male              307                                                          173                                                        27 Female         326                                                           148                                                        29 Identify the null and alternative hypotheses. Ho​: (1)__________and (2)___________are (3)_____________…

A graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. She identifies the null hypothesis as: Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about the null hypothesis. What are the two possible decisions that the graduate student can make? Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. ☐ There is not enough…

Select all that apply:   We should reject H0.   We should not reject H0.   At the 1% significance level, the data do not provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is different from 14.1 hours.   At the 1% significance level, the data provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is different from 14.1 hours.

A scientist is studying the effect of a new type of exercise program on cardiovascular health. The scientist randomly assigns individuals to either the exercise program or a control group. The scientist wants to determine if the exercise program has a statistically significant effect on cardiovascular health. The scientist monitors cardiovascular health by measuring the blood pressure of each individual.  The type of program the individual experienced is which of the following? (Select all that apply) The Explanatory Variable Ordinal The Response Variable Categorical Binary Quantitative Categorical