The changes in weight during three months for six people on a diet were 10,12, 14,...

The changes in weight during three months for six people on a diet were 10,12, 14, 16, 17, and −2 pounds. Use the sign test to find and interpret the P-value for testing that the probability that the weight difference is positive equals 0.50 against the alternative hypothesis that it is greater than 0.50.

1) Identify the correct null and alternative hypotheses.

I know that the correct answer for this part is:

H0 : p = 0.50

Ha : p > 0.50

2) P-value = ?

But I have no idea how to calculate the p-value here, can anyone help me?

Thanks in advance.

Expert Solution

orchestra answered 2 years ago

Twelve men were placed on a weight-reducing diet. The changes in weight (Kg) exhibited by the...

Twelve men were placed on a weight-reducing diet. The changes in weight (Kg) exhibited by the men were as follows. Determine whether the diet is successful. Data: -1.2, -1.4, -1.0, -0.4, -0.3, -0.8, 0.5, 0.1, -0.9, -1.8, 0.0, -2.1.

Eight people were on a special diet to lose weight. We are testing to see if...

Eight people were on a special diet to lose weight. We are testing to see if the diet actually works. We are going to do a Wilcoxon test. Please calculate the Wilcoxon T statistic. The critical value is 3. It is a two-tailed test with α = .05. Then come to a conclusion about the effectiveness of the diet. The data is: Before: 253 196 155 234 133 181 295 235 After: 190 144 125 180 115 191 ...

Twelve sheep were fed a special diet consisting of dried grass and barley for three months....

Twelve sheep were fed a special diet consisting of dried grass and barley for three months. At the end of the period the plasma insulin concentration (??/??) was determined for each sheep. The data are: 20.5 26.2 18.8 21.2 22.1 21.2 25.4 26.8 22.9 22.8 30.8 28.4 a) Find the mean, median and mode. b)Find the first and third quartiles. c) Find the range, variance and standard deviation. d) Find the 40th percentile ?40. e) Find the percentile rank of...

When 41 people are used the Weight Watchers diet for one year, their weight losses had...

When 41 people are used the Weight Watchers diet for one year, their weight losses had a standard deviation of 4.9lb. Use a 0.01 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.0lb, which appears to be the standard deviation for the amounts of weight loss with the Zone diet. Write your assumptions before you conduct hypothesis testing.

A 2016 poll sampled 523 adults who were planning a vacation during the next six months...

A 2016 poll sampled 523 adults who were planning a vacation during the next six months and found that 141 were expected to travel by airplane. A similar survey question in 2019 found that of 477 adults who were planning a vacation in the next six months, 81 were expecting to travel by airplane. (i) Express in words for this study, what is meant by the probability of making a Type I and a Type II error. (ii) Use the...

Without any changes in their diet a person has been loosing weight and their feces have...

Without any changes in their diet a person has been loosing weight and their feces have become fatty. The medical diagnosis is "a condition limiting the production of bile". Why do you think inadequate bile leads to the symptoms of weight loss and fatty feces? Your answer must discuss the role of bile in fat digestion.

A study of 50 people who were not on a diet showed that they consumed an...

A study of 50 people who were not on a diet showed that they consumed an average of 2200 calories in a day, with a standard deviation of 400 calories per day. For 40 people who were on a diet, they consumed an average of 2100 calories per day, with a standard deviation of 250 calories per day. Assume both populations are normally distributed. a) Test the claim that people on a diet consume fewer calories. b) Test the claim...

Three different diet plans are to be tested for mean weight loss. The entries in the...

Three different diet plans are to be tested for mean weight loss. The entries in the table are the weight losses for the different plans. Plan 1 Plan 2 Plan 3 7 6 4 3 5 7 6 5 6 6 8 7 Test at α = 0.05 if the average weight loss is the same for the 3 different plans. Consider the assumptions needed...

Seventy-eight people participated in a study of weight loss with a specified diet. The following table...

Seventy-eight people participated in a study of weight loss with a specified diet. The following table lists the amount of weight loss for randomly selected participants when they followed the diet, catagorized by age group. Age Group 16 - 25 26 - 35 36 - 45 46 - 55 Data 4.2 7.0 5.4 3.4 2.4 8.5 1.9 5.3 3.3 1.1 2.7 0.9 1.7 4.5 9.2 0 3.5 -2.1 3.0 0.6 3.6 5.8 0.7 Is there evidence that different age groups...

1. (60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet...

1. (60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet 2 and Diet 3. The weights of the subjects are listed as the response variable. The output of the analysis is below. Df Sum Sq Mean Sq F value Pr(>F) Response 1 0.943 0.9430 1.354 0.266 Residuals 13 9.057 0.6967 a. What test was conducted? b. What was the research question (null and alternative hypothesis in words)? c. State the null hypothesis. d. State...

Question