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If you do not reject the null hypothesis, then it must be true. Is this statement correct? State why or why not in complete sentences.

Short Answer

Expert verified

The given statement is incorrect.

Step by step solution

01

Introduction

A hypothesis is defined as a formal statement that explains the relationship between two or more variables in a given population. It assists the researcher in translating the given problem into a clear explanation for the study's outcome.

02

Explanation

The given statement is not true. If we did not reject the null hypothesis that does not mean that the null hypothesis is completely true. The null hypothesis is accepted if the given data is sufficient to accept it. Therefore the null statement cannot be true.

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Most popular questions from this chapter

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this yearโ€™s rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the ฮฑ=0.05 level, can it be concluded that the mean rainfall was below the reported average? What if ฮฑ=0.01? Assume the amount of summer rainfall follows a normal distribution.

A recent survey in the N.Y. Times Almanac indicated that 48.8% of families own stock. A broker wanted to determine if this survey could be valid. He surveyed a random sample of 250 families and found that 142 owned some type of stock. At the 0.05 significance level, can the survey be considered to be accurate?

A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening

night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that11 attended the

midnight showing. An appropriate alternative hypothesis is:

a.p=0.20b.p>0.20c.p<0.20d.pโ‰ค0.20

According to the Center for Disease Control website, in 2011 at least18%of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County,KY conducted a hypothesis test at the local high school (a medium sizedโ€“approximately 1,200 studentsโ€“small city demographic) to determine if the local high schoolโ€™s percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the150 students surveyed, 82have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.

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