What is the probability of a Type Il error when a hypothesis test is being conducted at the 10% significance level (a=0 10)? O 0.05
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A: Given that, Sample size n=55 Sample proportion of people who owned cats p^=0.37
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Q: Test the claim that the proportion of men who own cats is smaller than the proportion of women who…
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Q: d on a sample of 65 people, 98% ed cats cest statistic is: |(to 2 decimal
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Q: H₁ PM F Ho: PMF Ho: PM = PF H₁:PMPF H₁: PM PF Ho: PM PF Ho: PM = F H₁ PM> PF H₁: PM <HF The test…
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Q: Test the claim that the proportion of men who own cats is significantly different than 40% at the…
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- Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 H0:p=0.775H0:p=0.775H1:p>0.775H1:p>0.775 H0:μ=3.1H0:μ=3.1H1:μ>3.1H1:μ>3.1 H0:μ=3.1H0:μ=3.1H1:μ<3.1H1:μ<3.1 H0:p=0.775H0:p=0.775H1:p<0.775H1:p<0.775 H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 75 people, the sample mean GPA was 3.14 with a standard deviation of 0.03The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we fail to reject the null hypothesis. reject the null hypothesis.Consider a sample of 50 football games, where 27 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than one-half. What is the P-Value?Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True False
- Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho p≥ 0.6 Ho:μ ≤ 2.4 Ho:p ≤ 0.6 H₁ p 2.4 H₁:p > 0.6 Ho:. :p= 0.6 Ho:} > 2.4 Ho: = 2.4 H₁:p‡ 0.6 H₁:μ< 2.4 H₁:µ ‡ 2.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.41 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesisTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level. The null and alternative hypothesis would be: Ho: PM = PF Ho: MM = F Ho: PM = PF H₁ PM PF H₁: μM μF H₁ PM > PF O O The test is: left-tailed two-tailed O O Based on a sample of 80 men, 25% owned cats Based on a sample of 20 women, 35% owned cats The test statistic is: The p-value is: right-tailed O Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis Ho: PM = MF H₁: MM > MF (to 2 decimals) (to 2 decimals) Ho: MM = F Ho:PM = PF H₁: MM < MF H₁:PM < PF O OWhat is the relation between the significance level of a hypothesis test and the probability of making a Type I error?
- Test the claim that the proportion of men who own cats is larger than 50% at the .025 significance level. The null and alternative hypothesis would be: Ho p= 0.5 Ho: μ = Ho : μ Ho: p = 0.5 o H₁ μ> H₁ μ‡ H₁: p 0.5 : Ho p= 0.5 H₁ μ = H₁ p0.5 H₁:μ< The test is: right-tailed left-tailed two-tailed Based on a sample of 65 men, The test statistic is: z = (to 2 decimals) The critical value is ZC =1.95996. Thus the test statistic (is critical region. 4265 Based on this we: of the men owned cats Fail to reject the null hypothesis Reject the null hypothesis in theTest the claim that the mean GPA of night students is larger than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: Но: р — 0.775 Но:р> 0.775 Но: и — 3.1 Но:р 3.1 Н:р+ 0.775 Hi:р 3.1 H]:p > 0.775 Hi:р < 3.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 80 people, the sample mean GPA was 3.14 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesisA Two tailed test, where the null hypothesis is H0: p = 0.95 and the significance level is 10%. When the edge of the rejection region for the lower tail is 0.9399 then what is the value of "?" in P(P-hat > ? | p = 0.95) = 0.05?
- Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.05 significance level. The null and alternative hypothesis would be: Ho :p > 0.875 На:р 0.875 O Ho : µ 3.5 Ho :p = 0.875 Ha:p + 0.875 O Ho : µ > 3.5 На: д < 3.5 The test is: O right-tailed left-tailed O two-tailedThis is the result of Chi Square test between 2 variables: gender and length of service. If the Null Hypothesis is stated as "There is no significant association between gender and length of service", then table above will clearly allow us to conclude that "there is no significant association between gender and length of service". A. True B. False
