1. Identify the parameter of interest. Describe it in the context of the situation. 2. Determine null value and state null hypothesis. 3. State the appropriate alternative hypothesis. 4. Give the formula for the computed value of the test statistic. 5. State the rejection region for the selected level of significance, a. 6. Compute sample quantities (if necessary), substitute into formula for the test statistic value, and compute that value (z in this case). 7. Decide whether or not the null hypothesis should be rejected and state the conclusion in the context of the original problem. (Either "reject" or "fail to reject the null hypothesis; never "accept" the null hypothesis. Next, explain what this means in terms of your specific situation, e.g., "conclude that the mean sulfur content is greater than 1.50%.") For tne problems below, when asked to conduct the hypothesis test, please use the seven-step process we have been using in class. Also, in step 7, it is very important to be clear in your conclusion. There are three parts to this: evidence from your hypothesis test, the decision to reject or fail to reject the null hypothesis, and the conclusion in the context of the problem. For example, referring to the first example we did in Chapter 10, we stated the following: 1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: -H2 0, and conclude that there is no difference in mean yield strength between the two types of roof bolts. (Here, the evidence is -1.03 is not less than -1.96, nor is it greater than +1.96 The decision is We fail to reject Ho: H-42 = 0 The conclusion in the context of the problem is We conclude that there is no difference in mean yield strength between the two types of roof bolts) 8 combating paralytic polio. Because it was believed that without a control group of children, there would be no sound basis for evaluating the efficacy of the Salk vaccine, the vaccine was administered to one group, and a placebo (visually identical to the vaccine but known to have no effect) was administered to a second group. For ethical reasons and because it was suspected that knowledge of vaccine administration would affect subsequent diagnoses, the experiment was conducted in a double-blind fashion. That is, neither the subjects nor the administrators knew who received the vaccine and who received the placebo. The actual data for this experiment are as follows: The Salk polio vaccine experiment in 1954 focused on the effectiveness of the vaccine in Placebo group: n 201,299 with 110 cases of polio observed Vaccine group: n - 200,745 with 33 cases of polio observed Use the seven-step hypothesis test that we have been using in class to determine if the proportion of children in the two groups who contracted paralytic polio is statistically different. Use the probability of a type I error equal to 0.05. Do not use the P-Value.

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THIS NOT GRADED ASSIGIMENT , IT IS AN OLD EXAM QUESTION.

1. Identify the parameter of interest. Describe it in the context of the
situation.
2. Determine null value and state null hypothesis.
3. State the appropriate alternative hypothesis.
4. Give the formula for the computed value of the test statistic.
5. State the rejection region for the selected level of significance, a.
6. Compute sample quantities (if necessary), substitute into formula for the
test statistic value, and compute that value (z in this case).
7. Decide whether or not the null hypothesis should be rejected and state the
conclusion in the context of the original problem. (Either "reject" or "fail to
reject the null hypothesis; never "accept" the null hypothesis. Next,
explain what this means in terms of your specific situation, e.g., "conclude
that the mean sulfur content is greater than 1.50%.")
Transcribed Image Text:1. Identify the parameter of interest. Describe it in the context of the situation. 2. Determine null value and state null hypothesis. 3. State the appropriate alternative hypothesis. 4. Give the formula for the computed value of the test statistic. 5. State the rejection region for the selected level of significance, a. 6. Compute sample quantities (if necessary), substitute into formula for the test statistic value, and compute that value (z in this case). 7. Decide whether or not the null hypothesis should be rejected and state the conclusion in the context of the original problem. (Either "reject" or "fail to reject the null hypothesis; never "accept" the null hypothesis. Next, explain what this means in terms of your specific situation, e.g., "conclude that the mean sulfur content is greater than 1.50%.")
For tne problems below, when asked to conduct the hypothesis test, please use the seven-step
process we have been using in class. Also, in step 7, it is very important to be clear in your
conclusion. There are three parts to this: evidence from your hypothesis test, the decision to reject
or fail to reject the null hypothesis, and the conclusion in the context of the problem. For example,
referring to the first example we did in Chapter 10, we stated the following:
1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: -H2 0, and
conclude that there is no difference in mean yield strength between the two types of roof bolts.
(Here, the evidence is
-1.03 is not less than -1.96, nor is it greater than +1.96
The decision is
We fail to reject Ho: H-42 = 0
The conclusion in the context of the problem is
We conclude that there is no difference in mean yield strength between the two types of
roof bolts)
8
combating paralytic polio. Because it was believed that without a control group of children, there
would be no sound basis for evaluating the efficacy of the Salk vaccine, the vaccine was
administered to one group, and a placebo (visually identical to the vaccine but known to have no
effect) was administered to a second group. For ethical reasons and because it was suspected that
knowledge of vaccine administration would affect subsequent diagnoses, the experiment was
conducted in a double-blind fashion. That is, neither the subjects nor the administrators knew who
received the vaccine and who received the placebo. The actual data for this experiment are as
follows:
The Salk polio vaccine experiment in 1954 focused on the effectiveness of the vaccine in
Placebo group: n 201,299 with 110 cases of polio observed
Vaccine group: n - 200,745 with 33 cases of polio observed
Use the seven-step hypothesis test that we have been using in class to determine if the proportion
of children in the two groups who contracted paralytic polio is statistically different. Use the
probability of a type I error equal to 0.05. Do not use the P-Value.
Transcribed Image Text:For tne problems below, when asked to conduct the hypothesis test, please use the seven-step process we have been using in class. Also, in step 7, it is very important to be clear in your conclusion. There are three parts to this: evidence from your hypothesis test, the decision to reject or fail to reject the null hypothesis, and the conclusion in the context of the problem. For example, referring to the first example we did in Chapter 10, we stated the following: 1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: -H2 0, and conclude that there is no difference in mean yield strength between the two types of roof bolts. (Here, the evidence is -1.03 is not less than -1.96, nor is it greater than +1.96 The decision is We fail to reject Ho: H-42 = 0 The conclusion in the context of the problem is We conclude that there is no difference in mean yield strength between the two types of roof bolts) 8 combating paralytic polio. Because it was believed that without a control group of children, there would be no sound basis for evaluating the efficacy of the Salk vaccine, the vaccine was administered to one group, and a placebo (visually identical to the vaccine but known to have no effect) was administered to a second group. For ethical reasons and because it was suspected that knowledge of vaccine administration would affect subsequent diagnoses, the experiment was conducted in a double-blind fashion. That is, neither the subjects nor the administrators knew who received the vaccine and who received the placebo. The actual data for this experiment are as follows: The Salk polio vaccine experiment in 1954 focused on the effectiveness of the vaccine in Placebo group: n 201,299 with 110 cases of polio observed Vaccine group: n - 200,745 with 33 cases of polio observed Use the seven-step hypothesis test that we have been using in class to determine if the proportion of children in the two groups who contracted paralytic polio is statistically different. Use the probability of a type I error equal to 0.05. Do not use the P-Value.
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