MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A store owner wanted to determine if more than 5% of customers made a purchase after he sent out a text. He sent out 300 texts to 300 randomly selected customers. Out of those 300, 17 made purchases. Is this evidence that if he sent out texts to all of his customers more than 5% would make purchases? What is the appropriate null and alternative hypothesis? Ho: p= 0.05 Ha: p> 0.05 O Ho: phat = 0.05 Ha: phat > 0.05 O Ho: p= 0.056 Ha: p > 0.056 O Ho: mu = 0.05 Hla: mu > 0.05arrow_forwardA type Il error A. is the rejection of a true null hypothesis. OB. arises when the false null hypothesis is not rejected. OC. arises when the true null hypothesis is not rejected. OD. is the rejection of a false null hypothesis.arrow_forwardPast studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: _______ H1: _______ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailedarrow_forward
- Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level. The null and alternative hypothesis would be: A.)H0:pM=pF H1:pM>pF B.)H0:pM=pF H1:pM≠pF C.)H0:μM=μF H1:μM≠μF D.)H0:pM=pF H1:pM<pF E.)H0:μM=μF H1:μM>μF F.)H0:μM=μFH0:μM=μF H1:μM<μFH1:μM<μF The test is: A.) left-tailed B.) right-tailed C.) two-tailed Based on a sample of 60 men, 30% owned catsBased on a sample of 60 women, 50% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: A.) Fail to reject the null hypothesis B.) Reject the null hypothesisarrow_forwardIf your null and alternative hypothesis are:H0:p=0.75H0:p=0.75 H1:p<0.75H1:p<0.75Then the test is: two tailed right tailed left tailedarrow_forwardIarrow_forward
- Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardLet u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Hou H₁: H 1.0 1.0arrow_forwardA test of the null hypothesis Ho: p = .25 gives a test statistic z = 1.6. What is the p-value if the alternative is Ha: p > .25? What is the p-value if the alternative is Ha: p < .25? What is the p-value if the alternative is Ha: p .25?arrow_forward
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