1. A coin has been tossed 1000 times, 470 times of which it landed heads up, and 530 times it landed tails up. Is this coin fair? Formulate and test the corresponding null and alternative hypotheses and interpret your result.
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- Define the Bonferroni Test of a Joint Hypothesis?In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. WHat is the approrpiate null hypothesis for this problem?1.) Create a set of hypotheses for a test.
- Express the null hypothesis and the alternative hypothesis in symbolic form. An entomologist writes an article in a scientific journal which claims that fewer than 12 in ten thousand male fireflies are unable to produce light due to a genetic mutation.-Find the correct null hypothesis and for each correct alternative hypothesis 5. You want to test the fairness of a single die, so you concentrate on the proportion of 1s that come up. Write down the null and alternative hypotheses.The assumption, "The children who attend academic after-school programs have higher grades than those children who do not attend after-school programs" is an example of a/n: Alternative Hypothesis (H₁) O Null Hypothesis (Ho) Ordinal statement O None of the given choices
- Claim: A minority of adults would erase all of their personal information online if they could. A software firm survey of 554 randomly selected adults showed that 38% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. ... a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. (Type an integer or a decimal. Do not round.)What is also the rejection criteria?5) Rafting down two different rivers took place, 324 boats rafted down the first river, and accidents (capsizing, boat damage, etc.) happened to 35 of them. 92 boats rafted down the second river, and accidents happened to 18 of them. (i) The second river is considered to be more complicated route to raft. Is there evidence for this assumption? Write the null and alternative hypotheses? (Hint: Compare two population proportions) (ii) Use appropriate test statistic to test the hypothesis. Use a = 0.10. ( test statistic in 4 decimal place, critical region for the test statistic) (ili) Construct a 90% one-sided confidence limit for the difference in proportions that can be used to answer the question in part (ii) of 5b) question. ( the bound obtained on the difference in proportions in two decimal place)
- The average manufacturing work week in metropolitan Chattanooga was 40,1 hours last year. It is believed that the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are O* Họ 2 40.1 Hạ <40.1 ObHọ - 401 H * 40.1a) Carefully define the null and alternative hypotheses of the ?2 test underlying the generation of the table below . b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. c) What is the conclusion of this test? Give reasons for your answer.A fair coin is flipped 80 times, and it turns up heads 30 times. You want to test the hypothesis that the coin does not turn up heads one-half of the time. Pick the correct null hypothesis. i. H0 : p = 3/8 ii .H0 : p = 1/2 iii. H0 : ˆp = 3/8 iv. H0 : ˆp = 1/2