405 051, Business Statistics work 5, Due Thursday, April 11 Name: meone in another department in the organization claims that customers spend on average an our (60 minutes) looking at your website while they are doing their online shopping. You think t's likely the time is less than an hour and you want to test whether your intuition is correct. 3. Write the null and alternative hypotheses that you would need for this hypothesis test. Write them in two ways: using standard statistical symbols and using straightforward language that matches to what you would say if you deemed that hypothesis to be true. Null - Ho: P=coming Customers spend on average CO minutes looking at the website. Alt. - HA: 4 COO Customers Spendl on average less than COminutes looking at the website. 4. Label the normal distribution template below based on the implied sampling distribution (of x values) under the assumption the null hypothesis is true and using your standard error. Label the center and the underlying number line using the relevant values from the above. value ! he of sionilla 5. Using an alpha (a) value / level of significance of 1% (0.01), identify the critical value z-score that is the cutoff point between rejecting and not rejecting the null hypothesis. Label the approximate position of this critical value z-score, then shade the region representing a. 6. Calculate your test statistic z-score based on your sample data, standard error, and the setup of your test. Interpret this and determine whether you should reject the null hypothesis or not. a is the th shold for "weird" / unlikely a Explain your test outcome in terms of what you now believe concerning the time on the site. your p-value Indicate your result is "too weird "too unlikely" to be