Question

A simple random sample of size ne 200 drivers were asked if they drive a car manufactured in a certain country of the 200 drivers surveyed 106 ponded that they did. Determinat more than half of al driver de star made in the country at the 0.05 level of cance Complete parts through (a) Determine the land waive Type Ho WOS () Calculate the value pv Round to the decimal places as needed (c) State the conclusion for the best Choose the correct answer below O A RH because the value is less than the 0.05 level of significance OB. Do not reject He because the value is greater than the 0.05 level of cance OC. Do not reject He because the value is less than the 0.05 level of signe OD RH, because the value is greater than the 0.05 level of significance 1) State the conclusion in context of the problem There suficient evidence at the 0.05 level of significance to conclude that more than half of diverse cu made in this country,

Answer 1

Answer: 1) Given that, 1.200, X 106 since we need to test the bypothesis that more than half of all drivers dzive a car made in this country (more than 50%) So the hypothesis are Noll : Ho: P<0.50 Alternative : Ha:p>0.50 test statistic р-Р (PCI-P) n where, å=x/n 106 200 = 0.53 0.53-0.50 0,03 : Z- = 0.85 0.0354 0.50*(1-0.50) 200 This is a (Z = 0.85 sight-tailed test. P[Z70.85)-1-P[7<0.85] - -1-0.8023 -0.1977 P_value: P-value -0.1977 Decision: P-value yo.05 (2) so we gail to reject Ho. conclusion: there is no support for the claim that more than half of all drivers doive a car made in this country at 2:0.05 level of significance. Thank you