Question 10 Not yet answered Points out of 1 Suppose you want to perform a two-tailed hypothesis test at the 5 percent significance level. You calculate that the z-statistic is z=2.43. What is the appropriate critical value to compare it to? Use the provided t-table. Select one: a. 1.645 b. 1.960 c. 2.571 d. Need more information Flag question Question 11 Not yet answered Suppose that the null hypothesis of an experiment is H0: b=0 and the alternative is H1: b≠0. Running the experiment gives the test mean b and with a standard error that was estimated from the sample. Under what circumstances would you reject the null hypothesis? Points out of 1 Flag question Select one: a. 0 lies within the 95% confidence interval around b based on the normal distribution and b. 0 does not lie within the 95% confidence interval around b based on the t-distribution and with -1 degrees of freedom and . c. b lies within the 95% confidence interval around 0 based on the normal distribution and d. b does not lie within the 95% confidence interval around 0 based on the t-distribution and with n-1 degrees of freedom and
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This means that we are looking for a critical value that will divide the rejection region into two equal tails, with each tail having an area of 2.5 percent. Since we are given a z-statistic, we can use the standard normal distribution to find the critical value. Show more…
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QUESTION 5 Do one of the following, as appropriate: (a) Find the critical value zα/2, (b) find the critical value tα/2, (c) state that neither the normal nor the t distribution applies. 99%; n = 17; σ is unknown; population appears to be normally distributed. a. zα/2 = 2.567 b. zα/2 = 2.583 c. tα/2 = 2.898 d. tα/2 = 2.921 QUESTION 7 Do one of the following, as appropriate: (a) Find the critical value zα/2, (b) find the critical value tα/2, (c) state that neither the normal nor the t distribution applies. 91%; n = 45; σ is known; population appears to be very skewed. a. tα/2 = 1.645 b. zα/2 = 1.75 c. zα/2 = 1.70 d. tα/2 = 1.34 QUESTION 8 Find the margin of error for the 95% confidence interval used to estimate the population proportion. n = 290, x = 100 a. 0.0656 b. 0.0492 c. 0.0547 d. 0.0574 QUESTION 9 Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 105, x = 64; 88 percent a. 0.535 < p < 0.685 b. 0.531 < p < 0.689 c. 0.536 < p < 0.684 d. 0.532 < p < 0.688
Kari H.
5. The confidence level is denoted by 1 – α. α is a. the probability that a confidence interval will contain the estimated population parameter. b. the probability that a confidence interval will not contain the estimated population parameter. c. the probability that a confidence interval will contain the sample statistic. d. the probability that a confidence interval will not contain the sample statistic. 7. The t-statistic is used in hypothesis testing for a population mean when the actual population standard deviation is not known. True False 11. In a given hypothesis test, the null hypothesis can be rejected at the 0.10 and 0.05 level of significance, but cannot be rejected at the 0.01 level. The most accurate statement about the p-value for this test is a. p-value = 0.01 b. p-value = 0.10 c. 0.01 < p-value < 0.05 d. 0.05 < p-value < 0.1 13. Which of the following is not true about the t-distribution? a. It has a greater spread than the standard normal distribution. b. It increasingly resembles the standard normal distribution as degrees of freedom increase. c. It has a mean of zero. d. It is not a symmetric distribution when degrees of freedom are sufficiently small
Sri K.
Identify the letter of the choice that best completes the statement or answers the question. When t is used to estimate the margin of error, it is computed by using the t-distribution. The mean of the sample distribution increases; the difference between the mean of the sample distribution and the mean of the population distribution varies according to the number of degrees of freedom. As the number of degrees of freedom increases, the t-distribution gets closer to the standard normal distribution. The significance level becomes larger as the number of degrees of freedom increases. In order to determine an interval for the mean of a population with an unknown standard deviation, a sample of 87 items is selected. The mean of the sample is determined to be 30. The number of degrees of freedom for reading the value is unknown. The t-value for a 95% two-sided confidence interval estimation with 28 degrees of freedom is 2.048. The z-value for a 97% two-sided confidence interval estimation is 1.88. A 90% confidence interval for the population mean is determined to be 800 to 900. If you calculate another confidence interval at 95%, it will be wider. Type I error is the error of rejecting H when it is false. In hypothesis testing, the hypothesis which is tentatively assumed to be true is called the null hypothesis. For setting the decision rule when the population standard deviation is unknown and it is reasonable to assume the underlying population distribution is normal, we use a t-distribution with n-1 degrees of freedom. A hypothesis test in which you could reject the null hypothesis is a two-tailed test.
Keondre P.
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