Some people claim that they can tell the difference between a diet soda and a regular  soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such  people. She filled 84 plain white cups with soda, half diet and half regular through  random assignment, and asked each person to take one sip from their cup and identify  the soda as diet or regular. 51 participants correctly identified the soda.   Conduct and interpret a hypothesis test for the following question: are these people any  better or worse at telling the difference between diet and regular soda than random  guessing (correctly identify soda half of the time)?     HINT: what is your hypothesized proportion if you want to test if these participants are  right or not half of the time?    Use a = .01 significance level. Solve Critical value:

A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?

A researcher wanted to know if there was a correlation between the number of times a boxer incurred head injuries (traumatic encephalopathy) to depression scores reported by the same individuals. The data for 10 boxers (number of injuries and depression scores from 0-10 where 0 means no depression) is as follows: Number of brain injury  Depression Score  0 1 9 10 4 7 7 8 2 1 1 0 8 10 5 5 0 2 4 6   a. Use the four steps of hypothesis testing and calculate a Pearson correlation for the above data, starting with the hypotheses.b. Find critical value at an alpha level at α=.05, two tailed.c. Include the coefficient of determination with a sentence explaining the outcome of both calculations in APA format.d. Create a scatter plot by hand of the above data set.

Consider an experiment for patients who underwent CPR for a heart attack and then was sent to the hospital. Patients were randomly divided into a treatment group where they received a blood thinner or the control group where they did not. We're interested in understanding what proportion of patients survived in the first 24 hours in the hospital. Here's the data: Control Treatment Survived 11 14 Died 39 26 With the help of Mathematics and R Studio: Conduct a (full) hypothesis test to determine if the treatment group survived at a higher rate than the control group.

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 39% of them plan to go into general practice. You wish to conduct a significance test to evaluate the school's claim.

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0      H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…

Q2) Paired-Samples t Test A research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from some elderly residents, tested first when they were 65 years old and again when they were 75 years old. The researcher wants to know if there is a significant decline in memory functions from age 65 to age 75 based on this sample. In other words, it is hypothesized that the memory score at age 75 is significantly lower than the memory score at age 65. So the null and alternative hypotheses should be directional. The alpha level was set at a = .05 for a one-tailed hypothesis test. Memory score Subject 1 2 3 4 5 6 7 8 9 10 Age 65 62 95 55 90 98 73 73 71 82 66 Age 75 65 88 56 89 90 75 70 70 80 62

Previous research showed that 15% percent of teenagers between the ages of 13 and 17 smoke. A study was conducted to examine the current proportion of US teenagers between the ages of 13 and 17 who smoke. A survey asked a random sample of 785 teenagers between the ages of 13 to 17 if they smoke. 71 of the surveyed teenagers responded that they smoke. The information above is for the question below.

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? 9 Human activity Natural patterns Don't know 66 64 Male 288 307 130 155 Female Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: H₂₁: Compute the test statistic. ▼and and (Round to three decimal places as needed.) Find the critical value(s). are ▼are (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? Ho. There sufficient evidence to warrant rejection of the claim…