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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)A social worker in a certain city claimed that only 25% of the children between 19 and 35 months had not had all of their vaccines. You believe the percentage is higher. In order to test the social worker’s claim, you contact 145 families that have a child between 19 and 35 months and find that 44 of the children had not had all of their vaccines. Can the social worker’s claim be supported to a level of significance of α = .02, test the hypothesis.is the proportion of infant colic differs among mothers who smoke and mothers who do not smoke. Show all 5 steps of the hypothesis test. α=0.05.
- It is claimed that the proportion of men who want football matches to be broadcast more frequently on television is higher than the ratio of women. It was stated that 60 out of 120 men randomly selected and 50 out of 150 women favor publication more frequently. According to this; For α = 0.01, test the accuracy of the claim between the proportions of male and female audience by following the test steps.Researchers suspect that 18% of all high school students smoke at least one pack of cigarettes a day. At Wilson High School, a randomly selected sample of 300 students found that 50 students smoked at least one pack of cigarettes a day. At α = 0.05, test the claim that less than 18% of all high school students smoke at least one pack of cigarettes a day. Use the P-value method.In a hypothesis test, the null hypothesis states that the population proportion of individuals who support a certain political candidate is equal to 0.6. A sample of size 400 is taken and 175 individuals support the candidate. What is the Z-score for this hypothesis test?
- A survey is conducted to estimate the proportion of voters in urban and in rural areas who favor a presidential candidate. It is determined that 65 out of 105 voters from the urban areas favor the candidate while only 49 out of 95 voters from the rural areas are in favor. Can we conclude at the 0.01 level of significance that there is a significant difference between the proportions of urban and rural voters who favor the presidential candidate? Also, determine the p-value. Express the p-value in the form P[_______] = _____ or 2P[_______] = ____, whichever is applicable.The proportion of defective items is not allowed to be over 15%. A buyer wants to test whether the proportion of defectives exceeds the allowable limit. The buyer takes a random sample of 100 items and finds that 19 are defective. State the null and alternative hypotheses for this test.How can I compute P-value?
- A researcher claims that the incidence of a certain type of cancer is less than 5%. To test his claim, the random sample of 4000 people are checked and 170 are determined to have cancer. Find the P-valueIs there a significant difference on the ratings of the respondents on X11 when grouped according to X2? Statement of the Problem: Is there a significant difference on Productline – X11 when grouped according to Industry Type – X2? Null Hypothesis: There is no significant difference on Productline – X11 when grouped according to Industry Type – X2. Note: The coding for Industry Type is 0 for Magazine Industry and 1 for Newsprint Industry. interpret the T-Test resultsA common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…