1. You wish to test the following claim (Ha) at a significance level of =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 = 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 proportion is greater than 0.5.
• There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.5.
• The sample data support the claim that the population proportion is greater than 0.5.
• There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.5.

2. You wish to test the following claim (Ha) at a significance level of =0.002. Ho:p=0.22 Ha:p>0.22 You obtain a sample of size n=474 in which there are 130 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming Ho is true) the probability of observing...

• at most 130 successful observations
• at least 130 successful observations

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 proportion is greater than 0.22.
• There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.22.
• The sample data support the claim that the population proportion is greater than 0.22.
• There is not sufficient sample evidence to support the claim that the population

3. Test the claim that the proportion of people who own cats is larger than 70% at the 0.01 significance level. The null and alternative hypothesis would be:

H0:0.70 H1:>0.7 H0:p0.7 H1:p<0.7 H0:=0.7 H1:0.7 H0:p0.7 H1:p>0.7 H0:p=0.7 H1:p0.7 H0:0.7 H1:<0.7 The test is:

left-tailed right-tailed two-tailed Based on a sample of 200 people, 74% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we:

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

4. 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 = 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 proportion of women over 40 who regularly have mammograms is different from 0.17.
• There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.17.
• The sample data support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.17.
• There is not sufficient sample evidence to support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.17.

5. A well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 38% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 40% at the 0.10 significance level. The null and alternative hypothesis would be:

H0:p0.4 H1:p>0.4 H0:=0.4 H1:0.4 H0:p=0.4 H1:p0.4 H0:0.4 H1:>0.4 H0:p0.4 H1:p<0.4 H0:0.4 H1:<0.4

The test is:

left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we:

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

6. Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 74 stocks traded on the NYSE that day showed that 19 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of =0.01 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 proportion of stocks that went up is is less than 0.3.
• There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is less than 0.3.
• The sample data support the claim that the proportion of stocks that went up is is less than 0.3.
• There is not sufficient sample evidence to support the claim that the proportion of