Question

10.2.17 Homework Help!

In a clinical trial, 18 out of 846 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.8% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.8% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? Because npo (1-P) = 15 > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? p > 0.018 Ho: p = 0.018 versus H : (Type integers or decimals. Do not round.) Find the test statistic, 20- 20 = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Since P-value >a, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.8% of the users experience flulike symptoms. OB. Since P-value <a, reject the null hypothesis and conclude that there is sufficient evidence that more than 1.8% of the users experience flulike symptoms. O C. Since P-value >a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 1.8% of the users experience flulike symptoms. OD. Since P-value <a, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 1.8% of the users experience flulike symptoms.

Answer 1

Given - 18 -0.02127 n = 846 x = 18 p= 0.018 n 846 Hoip=0.018 Vs H : P 70.018 test statistic's zo Find the value of - Zo = ê - e P* (1-P) = 0.02127 - 0018 0.018* (1-0.018) - 846 = 0.00327 0.00 4570 zo = 0.72 - p-value = 0.236 In TI-84 Find p-value steps 1) Press 2 ND 2) VARS 3.) 2: normaldf 4) Input lower : 0072 Upper : 1000 u : 0 P-value za ) failed to reject the null hypothesis. . There is not sufficient L Press paste. evidence that more than 1.8% of the users experience flulike Symto symptoms. one option A is correcto

TI-84 Plus TEXAS INSTRUMENTS normalcdi lover:0.72 Upper: 10000 : q:1 Paste STAT PLOTF1. TBLSETF2 FORMAT ES CALCF4 LY WINDOW (ZOOM TRACE TABLE F5 GRAPH 2ND QUIT MODE INS DEL A-LOCK ALPHA TEST A MATH LINK X,T,,n LIST STAT ANGLE B APPS DISTR VARS CLEAR H MATRIX D SIN1 E DRAW c PRGM COS: F COS [ K COS: F TAN TAN-1 G G X1 SIN TAN м EE J L X2 104 N LOG O v P W O CR 7 8 9 e* S w LN L4 T L5 U 16 v 4 5 RCL X STO MEM " L1 Y 2 Z L3 OFF 1 2 3 ENTRY SOLVE ENTER ON í : ANS ? CATALOG O C . (-)

TI-84 Plus ty Texas INSTRUMENTS normalcdf<0.72, .2357624233 HON .2357624233 N UN STAT PLOTF1. TBLSETF2 FORMAT ES CALCF4 WINDOW (ZOOM TRACE TABLE F5 GRAPH 2ND QUIT MODE INS DEL A-LOCK ALPHA TEST A MATH LINK X,T,,n LIST STAT ANGLE B APPS DISTR VARS CLEAR H MATRIX D SIN1 E DRAW c PRGM COS: F COS [ K COS: F TAN TAN-1 G G X1 SIN TAN e M EE J L X2 [ R 104 N LOG V o P W 7 8 9 e* S w LN L4 T L5 U 16 v 5 RCL X STO MEM " L1 Y 2 Z L3 OFF 1 2 3 ENTRY SOLVE ENTER ON í : ANS ? CATALOG O C . (-)