Marketers believe that 92% of adults in the United States own a cell phone. A cell phone manufacturer believes that number is actually lower. 200 American adults are surveyed, of which, 174 report having cell phones. Use a 5% level of significance. State the null and alternative hypothesis, find the p-value, state your conclusion, and identify the Type I and Type II errors.

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Stocks and Mutual Fund Ownership It has been found that 50.8% of U.S. households own stocks and mutual funds. A random sample of 300 heads of households indicated that 173 owned some type of stock. At what level of significance would you conclude that this was a significant difference? Use the P-value method.  (a) State the hypotheses and identify the claim. H0:  claim/ do not claim▼(Choose one) H1:  claim/do not claim▼(Choose one) This hypothesis test is/is not a ▼(Choose one) test.       b) Compute the test value. Always round z score values to at least two decimal places. z= c) Find the P-value. Round your answer to at least four decimal places. P-value=   (d) At what level of significance is this a significant difference? Reject H0 for any significance level ▼(Choose one) than the  P-value is, but fail to reject otherwise.

Imagine that a study of prostate cancer was initiated in Des Moines, Iowa. A total of 1,000 men, 55-64 years of age, with no prior evidence of prostate cancer were enrolled in the study. Each year during the study, the men being observed were examined and tested for presence of prostate cancer.  The results of annual examinations revealed: 10 cases confirmed at 1st exam                15 additional cases at 2nd exam                20 additional cases at 3rd exam                25 additional cases at 4th (final) exam                What is incidence density of prostate cancer in this group?