4. According to a study conducted for the New Zealand Society of Quality Control. overall, 52% of the women surveyed rat

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4 According To A Study Conducted For The New Zealand Society Of Quality Control Overall 52 Of The Women Surveyed Rat 1 (48.11 KiB) Viewed 25 times

4. According to a study conducted for the New Zealand Society of Quality Control. overall, 52% of the women surveyed rated New Zealand products "high" in quality. Assuming that the sample survey included 1,000 women, conduct a test to determine whether the true percentage of women who rate New Zealand products "high" in quality is more than 50%. Use a=0.01. n=1000 (a) State the null and alternative hypothesis. H: H: (b) Show that the conditions for the assumption of normality hold. n>30 (c) Calculate the value of the test statistic. Show your workings. Value of Test Statistic : (d) Find the p-value associated with this test. p-value: (e) Based on the answer obtained in part (d), the decision is: (Circle One): Reject H, / Not Reject H, Reason for decision : (f What type of error are you likely to commit in this test? (Circle One): Type 1 / Type II Error