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An increase in the price of bread produced domestically will be reflected in
An increase in the price of bread produced domestically will be reflected in both the GDP deflator and the consumer price index. the consumer price index but not in the GDP deflator. the GDP deflator but not in the consumer price index. n...
Read MoreMoney in the United States
Money in the United States includes currency, bank deposits and the value of all stocks and bonds includes currency, bank deposits and gold is only currency includes currency and bank deposits ...
Read MoreWhich of the following facts should make you the most worried about the reliability of the results of the test in this case?
Two of the six expected counts are less than 5....
Read MoreThe following is the (edited) output of the chi-squared test in this case:
Considering only the p-value, without considering the chi-square reliability assumptions, what conclusion would you make?
the data provide sufficient evidence to conclude that extra-curricular participation and grade performance are related.Good job! The p-value (0.046) is sufficiently small (less than .05) to reject H0 in favor of the alternative hypothesis and conclude that extra-curricular activity and grade pe...
Read MoreThe count that you found in the previous question is the number of students with high extra-curricular participation and good grades that you would expect to see assuming that:
both (C) and (D) are correct....
Read MoreThe following four questions refer to the following information:
To determine if there is a relationship between grade performance and extracurricular participation, North Carolina state conducted a study of 112 randomly selected students, recording the number of students in each of three extra-curricular categories, and each of two grade categories. Here are the results:
Good grades | Poor grades | |
Low extra-curricular participation | 11 | 2 |
Moderate extra-curricular participation | 68 | 23 |
High extra-curricular participation | 3 | 5 |
Source: Felder, et. al., “A Study of Student Performance in an Introductory Chemical Engineering Course,”
(1992 ASEE Annual Conference Proceedings, pp. 1516–1519.)
What is the expected count of students with high extra-curricular participation and good grades?
5.86Good job! The expected count is: (row total * column total) / table total = 8 * 82 / 112 = 5.86....
Read MoreThe mortality rate from melanoma (skin cancer) during the 1950s was recorded for each of the 48 contiguous United States, plus Washington D.C. (as reported by Fisher, L.D. and van Belle, G. (1993). Biostatistics: A Methodology for the Health Sciences. John Wiley and Sons, New York, NY, p. 292).
In context, the negative relationship (shown in the scatterplot above) means that:
The more southern the state, the higher the melanoma death rate.Good job! From the scatterplot we see that the lower the latitude the higher the mortality per 10 million. In other words, the more southern the state, the higher the death rate. Note that since the response variable is the mortality pe...
Read MoreIf we would like to carry out the test at a significance level (threshold) of 0.05, which of the following is critical value that we need to compare the test statistic to? Use the chi-square distribution linked hereopens a new window.
This is correct. Indeed, since there are four categories in this problem (the four capacity models 32GB, 64GB, 128GB and 256GB), we need to use row 4 - 1 = 3 in the table. As the image below shows, the critical value that corresponds to a significance level of 0.05 is 7.815....
Read MoreIf the null hypothesis is correct, how many phones (out of 284 phones that were sold) would you expect to be sold from the 32GB, 64GB, 128GB, 256GB models, respectively? In other words, what are the expected frequencies in this case?
71, 71, 71, 71This is correct. Indeed, if the null hypothesis is true (equal demand to all four models) then we would expect the 284 sold phones to be equally divided among the four models. In other words, we would expect that the total sales of each model will be 284/4=71....
Read MoreH0: Sales are consistent with the claim of equal demand for the four modelsHa: Sales are not consistent with the claim of equal demand for the four models...
Read More
A company has released its new phone which is available in 4 capacity models: 32GB, 64GB, 128GB, and 256GB. A store has sold 284 phones over the last week: 63 phones of the 32GB model, 73 phones of the 64GB model, 77 of the 128GB model, and 71 of the 256GB model. We will use the chi-square goodness-of-fit test to asses whether the four models’ total sales are significantly different from one another.