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Since the P-value is 0.005 which is less than the significance level of 0.01, the decision is to reject the null hypothesis. There is strong evidence to say that more than 75% of adults agree that it is morally wrong to not report all income on tax returns. For the following exercises, use your calculator to conduct the hypothesis test. Remember to use the correct test on the calculator (Are you testing a mean or a proportion? Is given or not?) State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not to reject the null hypothesis. Summarize the conclusion in the context of this problem. A random sample of 300 one-year old baby boys is studied and their weights in pounds are recorded. Their mean weight was 25.7 pounds with a standard deviation 5.3 pounds. A medical researcher claims that the mean weight of one-year old boys is greater than 25 pounds. Does this study provide convincing evidence that the researcher’s claim is true? Use a 0.02 level of significance. State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not to reject the null hypothesis. Summarize the conclusion in the context of this problem.

          Since the P-value is 0.005 which is
less than the significance level of 0.01, the decision is to reject
the null hypothesis. There is strong evidence to say that more than
75% of adults agree that it is morally wrong to not report all
income on tax returns.
For the following exercises,
use your calculator to conduct the hypothesis test.  Remember
to use the correct test on the calculator (Are you testing a mean
or a proportion? Is given or
not?)
State the null (H0) and
alternative (H1) hypotheses.
         
   Give the test statistics and the p-value for this
significance test.
Make a decision on whether or not to
reject the null hypothesis.
Summarize the conclusion in the context
of this problem.
A random sample of 300 one-year old
baby boys is studied and their weights in pounds are recorded.
Their mean weight was 25.7 pounds with a standard deviation 5.3
pounds. A medical researcher claims that the mean weight of
one-year old boys is greater than 25 pounds. Does this study
provide convincing evidence that the researcher’s claim is true?
Use a 0.02 level of significance.
State the null (H0) and
alternative (H1) hypotheses.
Give the test statistics and the
p-value for this significance test.
Make a decision on whether or not to
reject the null hypothesis.
Summarize the conclusion in the
context of this problem.
        
Show more…

Added by Karen C.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Since the P-value is 0.005 which is less than the significance level of 0.01, the decision is to reject the null hypothesis. There is strong evidence to say that more than 75% of adults agree that it is morally wrong to not report all income on tax returns. For the following exercises, use your calculator to conduct the hypothesis test. Remember to use the correct test on the calculator (Are you testing a mean or a proportion? Is given or not?) State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not to reject the null hypothesis. Summarize the conclusion in the context of this problem. A random sample of 300 one-year old baby boys is studied and their weights in pounds are recorded. Their mean weight was 25.7 pounds with a standard deviation 5.3 pounds. A medical researcher claims that the mean weight of one-year old boys is greater than 25 pounds. Does this study provide convincing evidence that the researcher’s claim is true? Use a 0.02 level of significance. State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not to reject the null hypothesis. Summarize the conclusion in the context of this problem.
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Since the P-value is 0.005 which is less than the significance level of 0.01, the decision is to reject the null hypothesis. There is strong evidence to say that more than 75% of adults agree that it is morally wrong to not report all income on tax returns. For the following exercises, use your calculator to conduct the hypothesis test. Remember to use the correct test on the calculator (Are you testing a mean or a proportion? Is given or not?) State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not to reject the null hypothesis. Summarize the conclusion in the context of this problem. A random sample of 300 one-year old baby boys is studied and their weights in pounds are recorded. Their mean weight was 25.7 pounds with a standard deviation 5.3 pounds. A medical researcher claims that the mean weight of one-year old boys is greater than 25 pounds. Does this study provide convincing evidence that the researcher’s claim is true? Use a 0.02 level of significance. State the null (H0) and alternative (H1) hypotheses. Give the test statistics and the p-value for this significance test. Make a decision on whether or not to reject the null hypothesis. Summarize the conclusion in the context of this problem.

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Drew wondered if the average age of students in AP Statistics classes in his high school is under 18. He randomly selected 10 AP Statistics students in his school and the data set is given below. Using the information from a previous survey, he has concluded that the population standard deviation for the age of AP Statistics students in his school is 1.23. Assume that the ages of students in AP Statistics classes in this high school are normally distributed. 17 19 18 17 15 18 16 17 17 16 A calculator was used to determine the p-value for this hypothesis test. The p-value was 0.005. If the level of significance was 0.01, interpret the results. The p-value, 0.005, is less than the level of significance, 0.01. Reject the null hypothesis that the mean age is 18. There is sufficient evidence to conclude that the mean age is under 18. The p-value, 0.005, is less than the level of significance, 0.01. Reject the null hypothesis that the mean age is 18. There is insufficient evidence to conclude that the mean age is under 18. The p-value, 0.005, is less than the level of significance, 0.01. Do not reject the null hypothesis that the mean age is 18. There is insufficient evidence to conclude that the mean age is under 18. The p-value, 0.005, is less than the level of significance, 0.01. Do not reject the null hypothesis that the mean age is 18. There is sufficient evidence to conclude that the mean age is under 18.

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Transcript

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00:01 Given in the question, given that x value is equal to 12, n is equal to 200, and p value is given as 0 .1.
00:15 Now calculating the proportion, the proportion denoted by p bar is equal to x divided by n, which is equal to value of x is 12 divided by n is equal to 200.
00:33 So, proportion p bar is equal to 0 .06.
00:39 So we have found the p value.
00:41 Now the null and alternative hypothesis are given by the null hypothesis denoted by h0 is equal to p is equal to 0 .1 and the alternative hypothesis denoted by h .a is p is less than 0 .1 which is a left -tailed test.
01:03 A left -tailed test...
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