1. You wish to test the following claim (Ha) at a significance level of =0.02=0.02. Ho:p=0.5 Ha:p>0.5 You obtain a sample of size n=219 in which there are 122 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

2. You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.17. You use a significance level of =0.002. H0:p=0.17 H1:p0.17 You obtain a sample of size n=572 in which there are 68 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

3. You wish to test the following claim (Ha) at a significance level of =0.002 Ho:=52.8 Ha:52.8 You believe the population is normally distributed and you know the standard deviation is =14.4You obtain a sample mean of M=55for a sample of size n=34 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Incorrect The p-value is...

• less than (or equal to)
• greater than

Correct This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

4. You wish to test the following claim (Ha) at a significance level of =0.005 Ho:=51.3 Ha:<51.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=23 with mean M=50.3 and a standard deviation of SD=9.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...

• less than (or equal to)
• greater than

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is less than 51.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.3.
• The sample data support the claim that the population mean is less than 51.3.
• There is not sufficient sample evidence to support the claim that the population mean is less than 51.3.

5. You wish to test the following claim (Ha) at a significance level of =0.005 Ho:=81.5 Ha:>81.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=76 with mean M=84.3 and a standard deviation of SD=13.6 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...

• less than (or equal to)
• greater than

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.5.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.5.
• The sample data support the claim that the population mean is greater than 81.5.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 81.5.

6. You wish to test the following claim (Ha) at a significance level of =0.01 Ho:=80. Ha:<80.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=514with mean M=79 and a standard deviation of SD=7.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...

• less than (or equal to)
• greater than

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is less than 80.1.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 80.1.
• The sample data support the claim that the population mean is less than 80.1.
• There is not sufficient sample evidence to support the claim that the population mean is less than 80.1.

7. Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.1 significance level. The null and alternative hypothesis would be:

H0:3.5 H1:<3.5

H0:p0.875 H1:p>0.875

H0:p0.875 H1:p<0.875

H0:=3.5 H1:3.5

H0:p=0.87 H1:p0.875

H0:3.5 H1:>3.5 The test is:

left-tailed two-tailed right-tailed Based on a sample of 25 people, the sample mean GPA was 3.47 with a standard deviation of 0.08 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis

8. Test the claim that the proportion of people who own cats is smaller than 20% at the 0.01 significance level. The null and alternative hypothesis would be:

H0:0.2 H1:<0.2

H0:p=0.2 H1:p0.2

H0:0.2 H1:>0.2

H0:p0.2 H1:p<0.2

H0:=0.2 H1:0.2

H0:p0.2 H1:p>0.2 The test is:

left-tailed right-tailed two-tailed Based on a sample of 600 people, 18% owned cats The p-value is: (to 2 decimals) Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis

10. Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.2 significance level. The null and alternative hypothesis would be:

H0:=3.5 H1:3.5

H0:3.5 H1:>3.5

H0:p=0.875 H1:p0.875

H0:3.5 H1:<3.5

H0:p0.875 H1:p>0.875

H0:p0.875 H1:p<0.875 The test is:

left-tailed right-tailed two-tailed Based on a sample of 45 people, the sample mean GPA was 3.54 with a standard deviation of 0.06 The p-value is: (to 2 decimals) Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

11. You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.81. You use a significance level of =0.02 H0:p=0.81 H1:p>0.81 You obtain a sample of size n=154 in which there are 129 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...

• less than (or equal to)
• greater than

This p-value leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.81.
• There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is more than 0.81.
• The sample data support the claim that the probability of catching the flu this year is more than 0.81.
• There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is more than 0.81.

12. You wish to test the following claim (Ha) at a significance level of =0.001 Ho:=68.4 Ha:<68.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=28 with mean M=62.5 and a standard deviation of SD=20.7 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...

• less than (or equal to)
• greater than

This p-value leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is less than 68.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 68.4.
• The sample data support the claim that the population mean is less than 68.4.
• There is not sufficient sample evidence to support the claim that the population mean is less than 68.4.