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3. A teacher in a nearby city thinks that more than half of the kindergarteners there...

3. A teacher in a nearby city thinks that more than half of the kindergarteners there are at least 47 inches tall. She decides to test this hypothesis by taking a random sample of kindergarteners and finding the proportion that are at least 47 inches tall. (a) (8 points) If she hopes to show her beliefs are correct, give her null and alternative hypotheses for the parameter p= the proportion of kindergarteners in the teacher's city who are more than 47 inches tall (She chooses a level of significance of 5% for this test.) (b) (8 points) Suppose that the teacher calculates the p-value from her sample results to be 0.0359. Interpret her results in the context of the problem. Be sure to indicate both whether or not her results were statistically significant and the strength of her evidence. i am not sure about the my method on the first quenstion. i think i got the right answer but i might have used the wrong method. would you mind helping me.

Math   Statistics-And-Probability   
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Answer #1

From the given information,

a. The required hypotheses are:

Null Hypothesis(Ho): p=0.5

Alternative Hypothesis(Ha): p > 0.5

b.

As p-value (0.0359) < level of significance(0.05)

Hence, We reject Ho.

i.e., P > 0.5.

Conclusion: Claim by teacher is true. Hence, more than half of the kindergarteners there are at least 47 inches tall.

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