If, in a sample of n = 25 selected from a normal population, X = 60 and S = 10, how many degrees of freedom does the t test have if you are testing the null hypothesis Ho: H = 50? The degrees of freedom are (Simplify your answer.)
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- 12% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 335 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use z-test for a population proportion ♥ b. The null and alternative hypotheses would be: Ho: ? Select an answer |(please enter a decimal) Hạ ?v Select an answer ♥ (Please enter a decimal) c. The test statistic ?v = (please show your answer to 4 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should fail to reject the null hypothesis. g. Thus, the final conclusion is that. O The data suggest the populaton proportion is significantly smaller than 12% at a= 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is smaller than…Please solve itA researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250, x2=3377 State the conclusion of these findings.
- Which hypothesis represents the statement of "no change" (or "no affect/difference"), that we assume to be true? A.The one hypothesis, H1 B.The null hypothesis, H0 C.The right hypothesis, H0 D.The alternative Hypothesis, H1You are taking a pregnancy test. The null hypothesis of this test is H 0: I am not pregnant. In reality, you are not pregnant, but the test says you are. Which type of error occurred?A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. O State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: 0 O0 O20 O=0 ?
- Suppose a researcher compares the means of two independent groups that have the same number of participants in each group. The researcher uses the .05 level of significance and obtains a calculated value of t of 2.11. At least how many participants must be in each group in order to reject the null hypothesis?A. 10B. 9C. 8D. 11The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the α=0.1 level of significance. Category 1 Category 2 Category 3 Failures 32 51 57 Successes 39 54 73 State the hypotheses. Choose the correct answer below. A. H0: The categories of the variable and success and failure are independent. H1: The categories of the variable and success and failure are dependent. B. H0: The categories of the variable and success and failure are dependent. H1: The categories of the variable and success and failure are independent. C. H0: p1=p2=p3 H1: At least one of the proportions is different from the others. D. H0: μ1=E1 and μ2=E2 and μ3=E3 H1: At least one mean is different from what is expected. What is the P-value? nothing (Round to three decimal places as needed.) What conclusion can be…You are conducting a study to see if the average male life expectancy is significantly different from 82. If your null and alternative hypothesis are:H0:μ=82H1:μ≠82Then the test is: two tailed left tailed right tailed
- In the fictional city of Statisticsville, last year residents spent an average of $12 per month using grocery pickup services (where you purchase groceries online and then drive to the store to pick them up). A journalist wants to know if people today in the (fictional) city of Statisticsville are spending more per month on average compared to last year. Her hypotheses are: Hoi u =12 HA: H> 12 She selects a random sample of 89 people at a large public space in Statisticsville and finds their average spending per month on grocery pickup fees is $12.19 with a standard deviation of $4.15. All necessary assumptions and conditions have already been checked and were met. 1) What are the degrees of freedom (DF) for the t-distribution for performing this hypothesis test? 88 (Enter an integer answer.) 2) What is the value of the t-statistic for performing this hypothesis test? (Round your answer to 2 decimal places.) 3) Which of the following statements about the value is most appropriate? (You…A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.Some people say that more babies are born in September than in any other month. To test this claim, you take a random sample of 150 students at your school and find that 21 of them were born in September. You are interested in whether the proportion born in September is greater than 1/12-what you would expect if September was no different from any other month. Thus, the null hypothesis is Ho: p=1/12 . The P-value for your test is 0.0056. Which of the following statements correctly interprets the P-value? Assuming that the proportion of babies born in September is greater than any other month, there is a 0.0056 probability of getting a sample proportion of 21/150 or greater by chance alone. Assuming that the proportion of babies born in September is the same as any other month, there is a 0.0056 probability of getting a sample proportion of 21/150 or greater by chance alone. The probability that the proportion of September birthdays is not equal to 1/12 is 0.0056. The probability that…
