The proportion of people that own cats is 40%, A veterinarian believes that this proportion is significantly different than 40% and surveys 100 people. Test the veterinarian's claim at the a 0.1 significance level. Preliminary: a. Is it safe to assume that n 0.05 of all subjects in the population? O Yes ONo b. Verify np(1– p) 10. Round your answer to one decimal place. пр(1 — р) %— Test the claim: a. The null and alternative hypotheses are О о:р — 0.4 H.:p> 0.4 O Ho:µ= 0.4 Ha:µ > 0.4 O Ho:p= 0.4 H.:p+0.4 O Ho:µ= 0.4 Ha:µ#0.4 O Ho: µ = 0.4 Ha:u <0.4 О Но:р — 0.4 H.:p<0.4 b. The test is Select an answer V C. Based on the sample of 100 people, 46% owned cats. Calculate the test statistic. Round to two decimal places. d. Calculate the p -value. Round to four decimal places. e. Make a decision, O Fail to reject the null hypothesis O Reject the null hypothesis f. Make a conclusion. O There is not sufficient evidence that the proportion of people who own cats is significantly different. O There is sufficient evidence that the proportion of people who own cats is significantly different.

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The proportion of people that own cats is 40%. A veterinarian believes that this proportion is significantly
different than 40% and surveys 100 people. Test the veterinarian's claim at the a = 0.1 significance level.
Preliminary:
a. Is it safe to assume that n 0.05 of all subjects in the population?
OYes
O No
b. Verify np(1– p) 2 10. Round your answer to one decimal place.
np(1 – p) =
Test the claim:
a. The null and alternative hypotheses are
O Ho:p= 0.4
H.:p> 0.4
O Ho:P
0.4
H:p 0.4
O Ho: u = 0.4
H:µ> 0.4
O Ho: µ = 0.4
H.:u +0.4
O Ho: u = 0.4
H:p< 0.4
O Ho:p 0.4
H.:p< 0.4
b. The test is
Select an answer V
c. Based on the sample of 100 people, 46% owned cats. Calculate the test statistic. Round to two
decimal places.
d. Calculate the p -value. Round to four decimal places.
e. Make a decision.
O Fail to reject the null hypothesis
O Reject the null hypothesis
f. Make a conclusion.
O There is not sufficient evidence that the proportion of people who own cats is significantly
different.
O There is sufficient evidence that the proportion of people who own cats is significantly
different.
Transcribed Image Text:The proportion of people that own cats is 40%. A veterinarian believes that this proportion is significantly different than 40% and surveys 100 people. Test the veterinarian's claim at the a = 0.1 significance level. Preliminary: a. Is it safe to assume that n 0.05 of all subjects in the population? OYes O No b. Verify np(1– p) 2 10. Round your answer to one decimal place. np(1 – p) = Test the claim: a. The null and alternative hypotheses are O Ho:p= 0.4 H.:p> 0.4 O Ho:P 0.4 H:p 0.4 O Ho: u = 0.4 H:µ> 0.4 O Ho: µ = 0.4 H.:u +0.4 O Ho: u = 0.4 H:p< 0.4 O Ho:p 0.4 H.:p< 0.4 b. The test is Select an answer V c. Based on the sample of 100 people, 46% owned cats. Calculate the test statistic. Round to two decimal places. d. Calculate the p -value. Round to four decimal places. e. Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis f. Make a conclusion. O There is not sufficient evidence that the proportion of people who own cats is significantly different. O There is sufficient evidence that the proportion of people who own cats is significantly different.
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