Question

A publisher reports that 44% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 100 found that 48 % of the readers owned a laptop. Is there sufficient evidence at the 0.02 level to support the executive's claim? Step 1 of 7: State the null and alternative hypotheses. Answer Point Tables Keypad Keyboard Shortcuts < Ho I Ne Prev H

Answer 1

Here we have, n=100 P =0.48 Step1: Hypothesis Ho: P = 0.44 Ha :P >0.44 Step 2: Test statistics Z= P-P P(1-P)/n 0.48-0.44 0.44(1-0.44) 100 = 0.81 Step 3: The test is one-tailed test. Step 4:P-value Pvalue at Z= 0.81 |

= P (Z Z 0.81) = 1 - P(Z < 0.81) = 1-0.79103 = = 0.20897 = 0.2090 (Round to four decimal places) Step 5: Level of significance (a)=0.02 Step 6: Decision Fail to reject the null Hypothesis. Step 7: Conclusion There is not sufficient evidence to support the claim that the percentage of readers who own a laptop is over 44%.