(Use the Formula sheet and the Tables to answer this question. You should not use Mega- and Select the letter from (a, b

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Use The Formula Sheet And The Tables To Answer This Question You Should Not Use Mega And Select The Letter From A B 1 (78.5 KiB) Viewed 92 times

(Use the Formula sheet and the Tables to answer this question. You should not use Mega- and Select the letter from (a, b, cord) below that corresponds to the correct answer. . For a certain year, a study reports that the percentage of college students using credit cards was 83%. A college dean student services believe that this is too high for her university, so she randomly selects 400 students and finds that 300 of them use credit cards. At a -0.05, is college dean believe about her university is correct? Solve Problem4 in the following steps (Write your solution explicitly) Hypothesis test for proportion vs hypothesized value Observed Hypothesized 0.75 0.83 p (as decimal) 300/400 332/400 p (as fraction) 300 332. X 400 400 n n std 0.0188 error z p-value (two- - 2.05E-05 tailed) confidence interval 95.% lower confidence interval 95.% upper Complete the missing values of above the Mega-Stat output, and use it to solve the following questions: 1. Write the null Ho and alternative hypotheses Hi a) HO: P-0.75 H1: D-0.75 b) HO: -0.83 H2: p0.83 c) H0: P= 0.83 Hl: p< 0.75

2. Test the hypothesis is (a) using P-value a) Since the p-value = 0.0000205 < 0.05 we reject HO, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 83% b) Since the p-value = 0.0000205 <0.05 we reject H0, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 75% 3. Find Critical value of the statistical test in part (a), with 5% significance level (using the tables) a) z=1.645 b) t=1.96 c) z=1.96 4. Calculate the Test statistic (Use formula sheet) a) t= -4.25947 b) z= -4.25947 c) z=4.25947 5. Test the hypothesis is (a) using Test statistic a) since the test statistic t= -4.25947 is less than the critical value z= -1.96, then we reject HO, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 83% b) since the test statistic t= -4.25947 is less than the critical value t= -1.96, then we reject HO, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 75% c) since the test statistic z= -4.25947 is less than the critical value z= -1.96, then we reject Ho, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 83% 6. Estimate the population mean with 95% confidence (Use formula sheet) a) LL = 0.792434 UL= 0.707566 b) LL= 0.707566 UL = 0.792434 a) LL = 0.793188 UL= 0.866812

7. Test the hypothesis is (a) using the confidence interval method a) Since 0.75 falls outside C.I. then we reject HO, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 75% b) Since 0.83 falls outside C.I. then we reject HO, There is sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 83% c) Since 0.75 falls inside C.I. then we fail to reject HO, There is not sufficient evidence to conclude that college deans believe is correct, and the percentage of college students using credit cards is different from 75%