Question

i Chrome File Edit View History Bookmarks People Window Help ● ● ● Week Eight Quiz D 4) 996 D Thu 11:38 AM Q E С Not Secure I unitekcollege.mrooms.net/mod/quiziattempt.php?attempt-117335&cmidel 341 90&page:14 Apps Settings Suppose the age distribution of the Canadian population and the age distribution of a random sample of 433 residents in the Indian community of Red Lake are shown Observed Number Age (ycars) Under 5 5 to 14 15 to 64 65 and older Use alpha 0.001 to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village. Will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories? Percent of Canadian Population 8.8% 13.5% 64.4% 13.3% in Red Lake Village 48 301 Select one a. Since the P-value is less than α, we reject the null hypothesis that the variables are independent in favor of the alternate hypothesis that the variables are " Since the P-Value is greater than α, we reject the null hypothesis that the variables are not independent in favor of the alternate hypothesis that the variables are independent. C. Since the P-value is greater than α, we fail to reject the null hypothesis that the variables are independent in favor of the alternate hypothesis that the variables are not independent. d. Since the P-value is less than α, we reject the null hypothesis that the variables are not independent in favor of the alternate hypothesis that the variables are independent. e, since the P-Value is greater than α, we reject the null hypothesis that the variables are independent in favor of the alternate hypothesis that the variables are

Answer 1

Answe Date: 22/02/2019 To test the hypothesis is that the age distribution of general Canadian population first age distribution of the president of Red Lake village is not independent at 0.10% level of significance. The null and alternative hypothesis is, The null hypothesis is that the age distribution of general Canadian population first age strıbution of the president of Re e village is independen The alternative hypothesis is that the age distribution of general Canadian population first age distribution of the president of RedLake village is not independent. The chi-square test statistic for goodness-of-fittest is, First, compute frequency expectedthen findchi-squaretest statistics. The expected frequency for age under 5 is,

s Npi 433 8.8% - 38.10 The expected frequency for age 5 to 14 is, 1.-Npi -433 x1 3.5090 - 28.46 The expected frequency for age 15 to 64 is, - 433 x 64.4% - 278.85 The expected frequency for 65 and older is, - 433 x13.3% 57.59

The chi-square test statistic for goodness-of-fittest is, Bv using Excel software, find chi-square test statistics with the help of following steps 1)Import the data 2) Select Goodness-of-Fit Test from Chi-Square in MegaStat option from Add Ins menu. 3) Select Observed values andExpected values 4) Click Ok. Goodness of Fit Test O-E 5.896 10.455 22.148 17.589 0.000 (0-E)2 / E 0.912 1.870 1.759 5.372 9.913 %ofchis observed xpected 38.104 58.455 278.852 57.589 433.000 9.20 18.86 17.74 54.19 100.00 301 40 433 9.91 chi-square 3 df 0193 p-value

From the Excel output, the chi-square test statistic for goodness-of-fit test is 9.91. The p-value is, From the Excel output, the chi-squaretest p-value is0,.0193. Thep-value is 0.0193 Decision null hypothesis is rejected at 0.10% level of significance. There is insufficient evidence to indicate that the age distribution of general Canadian population first age distribution of 10 e president o significant. village 1s not independe The answer is C