Question 1Researchers found a statistically significant difference between mean consumer spending in December 2019 and mean consumer spending in December 2020, with p = .01. Which of the following is an appropriate conclusion?1 pointThe difference in mean consumer spending in December of 2020 compared to mean consumer spending in December of 2019 is meaningful.The likelihood of making a Type I error is p = .01.If the null is false, then the likelihood of finding a mean this extreme would be less than .01.If the null is true, then the likelihood of observing a sample mean at least this extreme is less than .01.

In testing the hypothesesH0: μ = 75.HA: μ < 75,the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?Group of answer choicesNone of the above statements is correct.The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.The probability that the population mean is smaller than 75 is 0.042.The smallest value of α that would lead to the rejection of the null hypothesis is 0.042.

Netflix: A study conducted by a technology company showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 20.6 minutes. Assume the standard deviation is =σ8. Suppose a simple random sample of 102 visits taken this year has a sample mean of =x19.6 minutes. A social scientist is interested to know whether the mean time browsing Netflix has decreased. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part 1 of 5(a) State the appropriate null and alternate hypotheses.H0: =μ20.6H1: <μ20.6This hypothesis test is a ▼left-tailed test.Part 2 of 5(b) Compute the value of the test statistic. Round the answer to two decimal places.z=−1.26Part 3 of 5(c) Compute the P-value. Round the answer to four decimal places.P-value=0.1038Part: 3 / 53 of 5 Parts CompletePart 4 of 5(d) Determine whether to reject H0. Use the =α0.05 level of significance.▼(Choose one) H0 at the =α0.05 level.

A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is 0.1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?Group of answer choicesType IIBothNeitherType I

A 2011 survey by the Bureau of Labor Statistics reported that 91% of Americans have paid leave. In January 2012, a random survey of 1,000 workers showed that 89% had paid leave.The resulting p-value is 0.0271; thus, the null hypothesis is rejected. It is concluded that there has been a decrease in the proportion of people who have paid leave from 2011 to January 2012.What type of error is possible in this situation? Type I Type II Neither Both

Suppose also that in this economy of inflation, researchers are concerned that consumers are spending less. In previous years, the mean monthly spending was $525. Provide a separate analysis to determine at the 0.10 significance level, if the mean amount spent per month significantly decreased this year. This is a one-sample mean test. Please provide: (8 points)1) The null and alternative hypotheses indicating whether it is a one or two-sided test.2) Use Data analysis and descriptive statistics to obtain the necessary summary statistics to perform this analysis. Clean up the output and copy and paste the clean output below.3) Calculate the appropriate Test Statistic showing your work which should include the point estimate and its standard error. Either copy and paste your calculations in Excel or show your hand calculations.4) Compare either the p-value to the level of significance OR your test statistic to the proper critical value and make the necessary conclusion.5) a concluding statement reporting the results of the test and the proper decisions that follow from the analysis in the context of the data.