12. State the null hypothesis and the alternative hypothesis for this situation: "T
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Test is that whether the chloride level from the top of the lake is different from that at the bottom.
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- Bonus Problem: For each situation, decide whether the null hypothesis should be rejected. (a) α = 0.01, P-value = 0.047, (b) α = 0.01, P-value = 0.15.A presidential candidate claims that the proportion of college students who are registered to vote in the upcoming election is at least 64%. Suppose that we want to sample a number of college students and carry out a hypothesis test to see if this daim may be refuted. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. H: 0 H;: 0 A OSO D=0A test of the hypotheses, Ho: p s 0.24 and H1: p > 0.24 is a one-tailed test two-tailed test test of two sample means test of two sample proportions
- A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Texas and Virginia. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Texas is less than the mean annual income of childcare workers in Virginia. To see if this is true, the firm selected a random sample of 10 childcare workers from Texas and an independent random sample of 10 childcare workers from Virginia and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Техas 26950, 39167, 36383, 37183, 46661, 39149, 36562, 32419, 21419, 39430 Virginia 33493, 27316, 38616, 42893, 35369, 34236, 30451, 32245, 42865, 32494 Send data to calculator Send data to Excel The population standard deviation for the annual incomes of childcare workers in Texas and in Virginia are estimated as 6100 and 6300, respectively. It is also known that both populations are approximately normally…Suppose that we reject a null hypothesis at the 0.1 level of significance. Then for which of the following a- values do we also reject the null hypothesis? O A. 0.002 ОВ. 0.02 ОС. 0.01 D. 0.2 E. 0.001Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 14.2 minutes. The standard deviation of completion times was 1.6 minutes. An analyst at the company suspects that, under new management, the mean completion time, µ, is now less than 14.2 minutes. To test this claim, a random sample of 12 completion times under new management was taken by the analyst. The sample had a mean of 13 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than 14.2 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
- You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (α = 0.05) for p (the proportion of female frogs in the pond): H0 : p = 0.55 HA : p > 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices I and III only III only I only None of the Above II onlyFor each statement, express the null hypothesis Ho and alternative hypothesis H in symbolic form. 1. The mean annual consumption of beer u in the nation's capital is less than the national mean lo- OA. Ho : µ = Ho, H1 : H # Ho OB. Ho : µ = Ho, H1 : H > Ho OC. Ho : µ = Ho, H1 : µ 98.6 98.6, H : µ 98.6, H u < 98.6 Classify the hypothesis test as two-tailed, left-tailed or right-tailed. OA. Right-tailed B. Left-tailed C. Two-tailedneed help with #2
- You collect N = 200 frogs from a pond and find that 120 of them are female. You wish to conduct the following hypothesis test (α = 0.05) for p (the proportion of female frogs in the pond): H0 : p = 0.55 HA : p > 0.55 Determine which of the following statements are true. Assume the true p = 0.65. I. The one-sided p-value is 0.1528. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices None of the Above III only I and III only II only I onlyYou watch people exiting Dodgers stadium after a game and you write down the number of males and the number of females that exit the stadium past you during the 20 minutes that you spend watching. You assumed that there would be a perfectly equal number of males and females attending a Dodgers game, but you look at the number of males and females that you actually counted, and you see if you still think that is actually true. What kind of hypothesis test would allow you to do this? a. One-Factor, Independent-Measures ANOVA b. Two-Factor ANOVA c. Correlation/Regression d. Chi-Square Goodness of Fit1- D)E)F)