A study conducted for New Woman magazine indicates that the number of children desired by newly-married American couples is distributed as follows. Percent of newly married American couples who desired to have no child, one child, two children, three children, more than three children are respectively given below P1 = 0.06, P2 = 0.19, P3 = 0.54, P4 = 0.08, P5 = 0.13 H0: P1=0.06, P2=0.19, P3=0.54, P4=0.08, P5=0.13 H1: At least one proportion is different from that of the American population as a whole Question 1) Expected frequency of no child desired = Expected frequency of on child desired = Expected frequency of two children desired = Expected frequency of three children desired = Expected frequency of more than three children desired = Question 2) Chi_Square Test Statistic for the goodness-of-fit test is Question 3) With a 5% significance level, in order to calculate the critical value for the goodness of fit test, degrees of freedom is: And the critical value is: Question 4) At 5% significance level do the data provide sufficient evidence to reject H0 Number of children desired 0 1 2 3 Over 3 Frequency 42 125 361 45 27
A study conducted for New Woman magazine indicates that the number of children desired by newly-married American couples is distributed as follows.
Percent of newly married American couples who desired to have no child, one child, two children, three children, more than three children are respectively given below
P1 = 0.06, P2 = 0.19, P3 = 0.54, P4 = 0.08, P5 = 0.13
H0: P1=0.06, P2=0.19, P3=0.54, P4=0.08, P5=0.13
H1: At least one proportion is different from that of the American population as a whole
Question 1) Expected frequency of no child desired =
Expected frequency of on child desired =
Expected frequency of two children desired =
Expected frequency of three children desired =
Expected frequency of more than three children desired =
Question 2) Chi_Square Test Statistic for the goodness-of-fit test is
Question 3) With a 5% significance level, in order to calculate the critical value for the goodness of fit test, degrees of freedom is:
And the critical value is:
Question 4) At 5% significance level do the data provide sufficient evidence to reject H0
| Number of children desired | 0 | 1 | 2 | 3 | Over 3 |
| Frequency | 42 | 125 | 361 | 45 | 27 |
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