A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 31, 37, 43, 41, 20, and 37. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? O Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: At least one of the probabilities is different from the others. Ha: All outcomes are equally likely. O B. Ho: All outcomes are equally likely. H: At least one of the probabilities is different from the others. O C. Ho: All frequencies are equal to 5. Ha: All frequencies are less than 5. O D. Ho: All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, y2. y2 = (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does it appear that the loaded die behaves differently than a regular die? O A. Yes, because there is not sufficient evidence to reject the null hypothesis. O B. No, because there is sufficient evidence to reject the null hypothesis. OC. No, because there is not sufficient evidence to reject the null hypothesis. O D. Yes, because there is sufficient evidence to reject the null hypothesis.

help 14

Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p +0.26 H₁: p=0.26 O B. Ho: p=0.26 H₁: p=0.26 O C. Ho: p = 0.26 H₁: p>0.26 O D. Ho: p=0.26 H₁: p<0.26

Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…

Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.3 H₁: p0.3 Oc. Ho: p=0.3 H₁: p 0.3 OD. Ho: p*0.3 H₁: p=0.3 B

Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.05 significance level to test that claim. GEE Identify the null and alternative hypotheses for this est. Choose the correct answer below. O A. Ho: p=0.25 H₁: p>0.25 OB. Ho: p=0.25 H₁: p=0.25 O C. Họ: p=0.25 H₁: p<0.25 le O D. Họ: P±0.25 H₁: p=0.25

In a random sample of males, it was found that 22 write with their left hands and 220 do not. In a random sample of females, it was found that 73 write with their left hands and 449 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ = P2 H₁: P₁ P2 B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ P2 H₁: P₁ = P2 C. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P2 P₂

Consider a sample of 54 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. B. Ho: p=0.5 H₁: p>0.5 OC. Ho: p>0.5 H₁: p=0.5 OD. Ho: p=0.5 H₁: p 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.82. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is 0.206. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. B. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. OC. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the…