STATE THE NULL AND ALTERNATIVE HYPOTHESES OF THE FOLLOWING. NEWBORN BABIES ARE MORE LIKELY TO BE BOYS THAN GIRLS. A RANDOM SAMPLE FOUND 12,193 BOYS WERE BORN AMONG 26,468 NEWBORN CHILDREN. THE SAMPLE PROPORTION OF BOYS WAS 0.4607. IS THIS SAMPLE EVIDENCE THAT THE BIRTH OF BOYS IS LESS COMMON THAN THE BIRTH OF GIRLS IN THE ENTIRE POPULATION?
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- STATE THE NULL AND ALTERNATIVE HYPOTHESES OF THE FOLLOWING.
NEWBORN BABIES ARE MORE LIKELY TO BE BOYS THAN GIRLS. A RANDOM SAMPLE FOUND 12,193 BOYS WERE BORN AMONG 26,468 NEWBORN CHILDREN. THE SAMPLE PROPORTION OF BOYS WAS 0.4607. IS THIS SAMPLE EVIDENCE THAT THE BIRTH OF BOYS IS LESS COMMON THAN THE BIRTH OF GIRLS IN THE ENTIRE POPULATION?
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- 2. You would like to check if the average wage of Danish men and women is the same. In order to do that, you obtain a sample of 100 men and 50 women from Denmark. Explain how you would conduct this test under the following assumption: 1. The two populations have the same variance 2. The two populations different variancesIn the US, 60% of all people have type O blood, 20% have type A blood, 15% have type B blood and 5% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 172 millionaires. What can be concluded at the 0.01% significant level. Test for the claim that the following categories occur with the following frequencies: pType O = 0.6; pType A = 0.2; pType B = 0.15; pType AB = 0.05 Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places. Blood Type ObservedFrequency ExpectedFrequency Residual O 78 A 35 B 40 AB 19 HoHo : pA=0.6pA=0.6; pB=0.2pB=0.2; pC=0.15pC=0.15; pD=0.05pD=0.05H1H1: at least one is different Original claim = Select an answer H₁ H₀ Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to…Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.3% To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 476never-previously-wed, university-educated, American women who were single at the beginning of their 4040s and who are now 45 Of these women, 16 report now being married. Does this evidence support Annie’s claim, at the 0.10 level of significance, that the chances of getting married for this group is greater than 2.3%? Compute the value of the test statistic. Round your answer to two decimal places.
- When the 2000 GSS asked whether human beings developed from earlier species of animals, 53.8% of 1095 respondents answered that this was probably or definitely not true. Question: What is the null and alternative hypothesis for this questionAnnie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.8%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 414 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 16 report now being married. Does this evidence support Annie’s claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 2.8%? \Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.A researcher believes that 52.5% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population.To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following: a) Find the mean of p: b)Find the standard deviation of p: c) Compute an approximation for P(p ≥ 0.525), which is the probability that there will be 52.5% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.
- There are several possible explanations for the existence of a statistical relationship between two variables. Which is not a common explanation? A. Common Cause B. Confounding factor C. Coincidence D. None of the abovePast studies have indicated that 85.6% of all enrolled college students in the U.S are undergraduates. A random sample of 500 enrolled college students in a particular stat revealed that 420 of the students were undergraduates. Is there enough evidence to conclude that the percentage of undergraduates from this particular state differs from the national percentage? A. What type of test would be appropriate for this situation? (Name the test and indicate if it should be a one tailed test or a two tailed test) B. State the Null and the alternate hypothesis. C. Perform the appropriate test and report the P- Value. D. Use your P-Value to make a conclusion about the problem. Are you accepting or rejecting the null hypothesis?Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 457 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 24 report now being married. Does this evidence support Annie’s claim, at the 0.05 level of significance, that the chances of getting married for this group is greater than 3.4%? Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: p=0.034 Ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.034
- In a random sample of 400 electrical components, 88 are found to be defective. You wish to test the null hypothesis that the population proportion of defective components is 20% versus the alternative hypothesis that the population proportion is not 20%.You choose a significant level of 5%. What is your statistical decision in this case?Your teacher claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you’ve been keeping track. In the past 80 rolls, the number “five” has come up only 8 times. You suspect that the calculator is producing fewer fives than it should. Let p = actual long-run proportion of five’s produced by the calculator. The hypotheses for testing the teacher’s claim are:A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The null hypothesis for this example will be that the population mean is: O greater than or equal to 30 minutes O not equal to 30 minutes O less than or equal to 30 minutes O less than 30 minutes