In a clinical study of an allergy drug, 109 of the 202 subjects reported experiencing significant relief from their symptoms. at the .01 significance level, test the claim that more than 50% of those using the drug experienced relief. what is the rejection rule?

Can you find and attach here an example of a statistically incorrect graph which has really been used/published somewhere? Explain why it is considered statistically incorrect.

1) The hypergeometric probability distribution is closely related to the binomial distribution except that the trials are not independent and the probability of success changes from trial to trial.

True/False

2) The stationarity assumption states that the probability of success in a given binomial distribution does not change from trial to trial.

True/False

3) It is possible for a discrete random variable to assume either a finite number of values or an infinite sequence of values.

True/False

4) Which distribution is used to calculate the probability of a given number of successes for a set number of trials where the only two options are success and failure?

A) The discrete - uniform distribution

B) A bivariate discrete distribution

C) The Poisson distribution

D) The binomial distribution

Research Question: Does the spatial ability differ by biological sex?
(Use Data A)

Null Hypothesis: Spatial ability does not differ by biological sex.

1. What is the statistic and its formula to address this research question? [1pt]

4. Calculate the t-value? [2 pt]

5. What is the critical value if alpha = 0.05 for two-tailed test? [2 pt]

6. Do we reject or accept the null hypothesis?  

7. What is the effect size (Cohen’s d)? [1 pt]

Data A: Students’ Spatial Ability

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

A random sample of medical files is used to estimate the proportion p of all people who have blood type B.

(a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p̂ will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.)
medical files

(b) Answer part (a) if you use the preliminary estimate that about 9 out of 90 people have blood type B.
medical files

1. What are the six steps of hypothesis testing?
2. What does it mean if we reject the null hypothesis?
3. How does statistical significance differ from practical significance?
4. What is the difference between a one-tailed and a two-tailed test? Why is a two-tailed test preferred over a one-tailed test?

Young and Company claims that its pressurized diving bell will, on average, maintain its integrity to depths of 2500 feet or more. You take a random sample of 50 of the bells. The average maximum depth for bells in your sample is 2455 feet. Set up an appropriate hypothesis test using Young and Company’s claim as the null hypothesis. Assume the population standard deviation is 200 feet. Use a 1% significance level.

a) What is the p-value that you calculate for this sample?

b) Can you reject the company's claim at the 1% level?

3) You are rolling a 12 sided die 8 times.

a) What is the size for the sample space? Write 3 different outcomes

Find the probability for the following

b) All of them are different

c) All of them are consecutive

d) Exactly four 9s and exactly five 12s

e) At least one 11

Suppose a survey revealed that 19% of 494 respondents said they had in the past sold unwanted gifts over the Internet.

(a) Use the information to construct a 90% confidence interval for the population proportion who sold unwanted gifts over the Internet, rounding your margin of error to the nearest hundredth. (Round your answers to two decimal places.)
(_________ , __________ )

(b) Use the information to construct a 98% confidence interval for the population proportion who sold unwanted gifts over the Internet, rounding your margin of error to the nearest hundredth. (Round your answers to two decimal places.)

(_________ , __________ )

3. Tar in cigarettes: Listed below are amounts of tar (mg per cigarette) in sing size cigarettes. 100-mm menthol cigarettes, and 100-mm non menthol cigarettes. The king size cigarettes are nonfiltered, nonmenthol, and nonlight. The 100-mm menthol cigarettes are filtered and nonlight. The 100-mm nonmenthol cigarettes are filtered and nonlight. Use a .05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of tar. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference?

King 20 27 27 20 20 24 20 23 20 22 20 20 20 20 20 10 24 20 21 25 23 20 22 20 20

Menthol 16 13 16 9 14 13 12 14 14 13 13 16 13 13 18 9 19 2 13 14 14 15 16 6 8

One-Hundred 5 16 17 13 13 14 15 15 15 9 13 13 13 15 2 15 15 13 14 15 16 15 7 17 15

Listed below are the weights of a random sample of blue M&Ms (in grams): 0.881 0.863 0.775 0.854 0.810 0.858 0.818 0.768 0.803 0.833 0.742 0.832 0.807 0.841 0.932 (a) Create a vector with these data. Find the mean, standard deviation and number of observations for these data. (b) Draw a histogram and a normal probability plot for these data. Is the assumption of normality valid for these data? (c) Test the claim that the mean weight of all blue M&Ms is greater than 0.82 grams (α = 0.05). Include the null and alternative hypotheses and your conclusion in the context of the data. (e) Create a plot that includes the sampling distribution of your statistic under the null hypothesis, the value of the statistic as a vertical line, and the P-value. R code

( I specifically would like to know how to get z step by step for C and D)

In a study of memory development, researchers selected pictures that could be classified into one of five categories (food, clothes, toys, furniture, animals). The pictures were presented in a random order to 8 3-year-olds and 8 4-year-olds, who were asked to memorize the pictures. The researchers used the order in which the pictures were recalled to obtain a clustering score for each child. A score of 1 meant that the pictures were not clustered by category at all during recall; whereas a score of 10 reflected perfect clustering of objects during recall (for example, all foods recalled first, then all animals, then all toys, etc.).

Using alpha = .05, determine whether or not the children of different age groups differed in terms of clustering in memory.

                                    Clustering Scores

      3 years old                                                    4 years old            

                2                                                                              5

                1                                                                              2

                2                                                                             7

                3                                                                              9

                1                                                                              6

                7                                                                              9

                4                                                                              3

                6                                                                              7

a. Identify the appropriate statistical test.

Independent groups t-test

b. State the null and alternative hypotheses.

c. What is the critical value of the test statistic? What is the decision rule for rejecting the null hypothesis?

CV:         _________________________       Reject H₀ if t _____________________

d. Paste in your SPSS output here. Circle the means, standard error, and observed value of t on the output.

Show your work for t (using formula and plugging in appropriate numbers from output) and eta² here:

t_obs=

eta² =

e. Write out an APA Style conclusion about the research project, using the context of the study in your answer.

Analyze the similarities and differences between parametric and nonparametric tests, and justify when is it appropriate to run a nonparametric test and when it is not, while identifying three parametric tests and nonparametric equivalents in your analysis.

Day 1:       4
Day 2:    11
Day 4:    17
Day 7:    26
Day 10:    42
Day 12:    58
Day 15:    84
Day 18:    99
Day 20:        108
Day 23:    112
Day 25:    118
Day 28:        120
Day 30:        120

Day 1:       4
Day 2:    11
Day 4:    17
Day 7:    26
Day 10:    42
Day 12:    58
Day 15:    84
Day 18:    99
Day 20:        108
Day 23:    112
Day 25:    118
Day 28:        120
Day 30:        120

a) Interpolate the number of deaths after 15 days, and determine the residual at this point, to the nearest hundredth