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A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures was launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot." A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the population proportion of "like the ads a lot" for the company's ads is less than 0.22 at a 99% level of significance.
State the null hypothesis for this two-tailed study?
State the alternate hypothesis for this study?
What critical value should be used to determine the rejection region? Use the 1 proportion Z-test
The null hypothesis will be rejected if the test statistic is?
What will be the p-value of this two-tailed test?
What is the decision on the null hypothesis? reject or fail to reject
A 95% confidence interval for the average difference between the two reaction times (traditional - LED) was (-171.37, 174.44). Which of the following is the appropriate conclusion?
The NY Dept of Motor Vehicles (DMV) designs its license plates with space for 7 letters or numerals. In the most recent iteration, the DMV uses three letters followed by 4 numbers.
Compute an F-statistic for each linear construct and determine its significance.
A doctor believes that the standard deviation of systolic blood pressure is 450. A random sample of 24 patients found a standard deviation of 520. Assume the variable is normally distributed and a = 0.01. What are the critical values?
You listen to radio station for 1 hour, at arbitrarily selected time, and carefully observe that amount of advertising time is equal to 7 minutes. Compute z-score for this amount of advertising time.
By using the normal probability distribution, what is the probability the car will be repaired in 35 minutes or less?
Determine what analysis would you do on each problem (i.e., one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
In certain normal distribution of scores, mean is 50 and standard deviation is 4. Determine z-score corresponding to a score of 55.
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
At least half the patients are under 15 years old? First, describe how this can be modelled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20 percent.
The probability of drawing a 6 (to complete an inside straight) after discarding the ace.
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