A sample of 900 computer chips revealed that 44 % of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that over 40 % do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim? State the null and alternative hypotheses for the above scenario.

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737kWh of electricity last year. Assuming that the population standard deviation is 1220kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance?   Step 2 of 3 :   Compute the value of the test statistic. Round your answer to two decimal places.

The business college wants to determine the proportion of business students who have extended time between classes. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.

A researcher selects a sample from a population with a mean of 50 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, what is the correct statement for the alternative hypothesis for a one tailed test

Stanford University conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.5% of the 451 members of the 50-plus Fitness Association died. We are interested in the proportion of people over 5o who ran and died in the same eight-year period.   Construct a 95% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period. Explain in a complete sentence what the confidence interval means

A published report claims that 35% of college students have used an online dating site or app.  Believing this claimed value is too low, a researcher surveys a random sample of n = 420 college students about their experiences with online dating sites and apps.  A total of 166 of the surveyed students indicate that they have used online dating sites or apps.   Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.   1.Based on the test statistic you computed to answer Question 11, along with what you see in Table B, what should the P-value be? 2. Based on the P-value you obtained and how it compares to the significance level of 0.05, what is your conclusion?  3. Look again at your answer to Question 13. If a smaller significance level had been chosen—like 0.01—would you have reached a different conclusion?   Please explain. 4. Again, look back at how you answered Question 13. If a larger significance level had been chosen—like 0.10—would you have…

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis​ test?

In 2018, a study was conducted that stated 22.6% of residents in Kern County live below the poverty line. Suppose you were hired to determine if that percentage has changed since the study was conducted. You randomly sample 200 residents from Kern County and find that 35 of them fall below the poverty line. Carry out the appropriate hypothesis test at the a = 0.05 level of significance to determine if the true proportion of Kern County residents that live below the poverty line is lower than what it was in 2018.

Among a simple random sample of 325 American adults who do not have a four-year college degree and are not currently enrolled in school, 45% said they decided not to go to college because they could not afford school. (a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. Use a significance level of a = 0.04. Но : prop HA: prop < p-value: Based on this information, we may Reject the Null Hypothesis (b) Calculate a 99% confidence interval for the proportion of Americans who decided not to go to college because they could not afford school.