A publisher reports that 40%40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200200 found that 31%31% of the readers owned a particular make of car. State the null and alternative hypotheses.

A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey?   We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke.   We are 95% confident that 27.8 % to 32.2 % of all Chinese adults smoke.   If the sample size was larger, the margin of error would be larger as well.   Exactly 30% of all Chinese adults smoke.   If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.

1. A marketing manager for a cell phone company claims that more than 35% of children aged 10 – 11 have cell phones. In a survey of 5000 randomly selected children ages 10 – 11, 1805 of them had cell phones. Based on the sample data, can you conclude that the manager's claim is true? Use a 1% level of significance. a. Define the population proportion to be tested and write the null and alternative hypotheses. b. Check the conditions required for the test.

Suppose 242 subjects are treated with a drug that is used to treat pain and 50 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.20 H₁: p0.20 H₁: p=0.20 OC. Ho: p=0.20 H₁: p>0.20 O D. Ho: p=0.20 H₁: p=0.20

A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Find the margin of error for a 98% confidence interval for the proportion of all New York State union members who favor the Republican candidate. O a. 0.065 O b. 0.056 O c. 0.506 O d. 0.605

The mean salary for a new teacher in your town is $51,000.  You believe it is lower for new teachers in a neighboring town. State the null and alternative hypotheses.

According to a report on consumer fraud and identity theft, 24% of all complaints for a year were for identity theft. In that year, Connecticut had 861 complaints of identity theft out of 3484 consumer complaints. Does this data provide enough evidence to show that Connecticut had a higher proportion of identity theft than 24% ? Test at the 10% level. State the hypotheses. Ho: P? O Ha: P ? Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .10, reject Ho. O Since the p-value is less than .10, fail to reject Ho- O Since the p-value is greater than .10, fail to reject Ho. O Since the p-value is less than .10, reject Ho. Interpret the results. O At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is…

Suppose a sample of 9 customers spends an average of $200 with a standard deviation $20 what is a 95% confidence interval for the sample mean. Use the fact that 95% of sample means are within 2.306 standard errors of the sample mean.