The type of household for the U.S. population and for a random sample of 409 households from the community of Dove Creek, Montana, are shown (based on Statistical Abstract of the United States) in the table below. It is claimed that the distribution of Dove Creek households agrees with the U.S. distribution of households, that is all proportions are true in the distribution of Dove Creek households.
The type of household for the U.S. population and for a random sample of 409 households from the community of Dove Creek, Montana, are shown (based on Statistical Abstract of the United States) in the table below. It is claimed that the distribution of Dove Creek households agrees with the U.S. distribution of households, that is all proportions are true in the distribution of Dove Creek households.
| Type of Household | Percent of U.S. Households | Observed number of Households in Dove Creek |
|---|---|---|
| Married with children | 26 % | 101 |
| Married, no children | 29 % | 111 |
| Single parent | 10 % | 32 |
| One person | 27 % | 97 |
| Other (e.g. roommates, siblings) | 8 % | 68 |
A) The sample has degree of freedom:
��=
B) The expected count of the type of household "Married, no children" is:
�=
C) Accurate to 2 decimal places, the component value of the type of household "Married, no children" is:
component=
D) �2 value of this sample is:
�2=
E) At significance level 0.03, is the sample showing strong evidence to reject the claim? Use 4 decimal places for �-value.
- Yes
- No
F) The P-value for this sample was:
P-value =
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