Gender Back Pain Back Pain No Total Yes Female 28 35 63 Male 18 19 37 Total 46 54 100
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Perform an appropriate hypothesis test to answer the above research question.
What is the Null Hypothesis H0.
Ho:
Solution-:
We find null hypothesis from given 2X2 contingency table:
Back Pain | Total | ||
Gender | Yes | No | |
Female | a=28 | b=35 | a+b=63 |
Male | c=18 | d=19 | c+d=37 |
Total | a+c=46 | b+d=54 | N=100 |
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- You complete a hypothesis test using α = .05, and based on the evidence from the sample, your decision is to fail to reject the null hypothesis. If the treatment actually does NOT have an effect, which of the following is true? Group of answer choices You have made a Type II error. You have made the correct decision. You might have made a Type I error, but the probability is only 5% at most. You have made a Type I error.A medical researcher claims that 70% of people pay for prescriptions with private insurance, 25% pay with Medicare, and the remaining pay with personal funds. To evaluate this claim, a random sample of 50 people was taken. The sample had the following results: Private Insurance Medicare Personal 32 10 8 What is the null hypothesis for the test? Enter the null hypothesis in the first blank. You do NOT need to enter the alternative hypothesis. Calculate the test statistic for the test and enter it in the second blank. Round your final answer to three decimals. Find the critical value cutoff for the rejection region and enter it in the third blank. Use alpha = 0.005.Suppose that a hypothesis test is performed at a small significance level. State the appropriate conclusion in each case by referring to Key Fact 2. a. The null hypothesis is rejected.b. The null hypothesis is not rejected.
- Researchers are comparing the intelligence levels of incoming freshmen and graduating seniors. Assuming that there is a systematic difference in intelligence levels between the two groups and researchers reject the null hypothesis, they have committed what? Failing to reject the null hypothesis means:A researcher has observed 500 vehicles at a stop sign in a suburban neighbourhood and recorded the type of vehicle (sedan, hatchback, bakkie) and driver behaviour at the stop sign (complete stop, near stop, “ran” the stop sign). At the 0.05 level of significance, could there be some relationship between driver behaviour and the type of vehicle being driven? Define the null hypothesis and the alternative hypothesis. A. H1: Driver’s behaviour and type of vehicle are independent vs H0: A relationship exists between driver’s behaviour and type of vehicle B. H0: A relationship exists between driver’s behaviour and type of vehicle vs H1: No relationship exists between driver’s behaviour and type of vehicle C. H0: Driver’s behaviour and dependent on the type of vehicle vs H1: Driver’s behaviour and type of vehicle are independent D. H0: Driver’s behaviour and type of vehicle are independent vs H1: A relationship exists between driver’s behaviour and type of vehicleFood inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses. Họ: the food is safe H3: the food is not safe The following is an example of what type of error? The sample suggests that the food is safe, but it actually is not safe. type I O type II O not an error
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