statistics one proportion z test assignment in the past the proportion of women in certain popu

(a) The null hypothesis is H0: p = 0.75 and the alternative hypothesis is Ha: p > 0.75.

Question

In the past, the proportion of women in a certain population who were taller than 63 inches was 75%. A researcher believes that this proportion has increased. A random sample of 160 women in this population, 125 of them are taller than 63 inches. Test the researcher's claim at the significance level 0.05. (a) The null hypothesis is H0: p = 0.75 (Here, alternative hypothesis: Write the Find (c) Calculate the test statistic using the formula (d) Sketch standard normal curve and shade the area that represents the P-value. Find the P-value using the normaldef on your calculator. Compare the P-value with the significance level, α = 0.05 in order to make your decision. State your decision (reject the null hypothesis or fail to reject the null hypothesis). State your conclusion.

          In the past, the proportion of women in a certain population who were taller than 63 inches was 75%. A researcher believes that this proportion has increased. A random sample of 160 women in this population, 125 of them are taller than 63 inches. Test the researcher's claim at the significance level 0.05.
(a) The null hypothesis is H0: p = 0.75 (Here, alternative hypothesis:
Write the
Find
(c) Calculate the test statistic using the formula
(d) Sketch standard normal curve and shade the area that represents the P-value. Find the P-value using the normaldef on your calculator.
Compare the P-value with the significance level, α = 0.05 in order to make your decision. State your decision (reject the null hypothesis or fail to reject the null hypothesis).
State your conclusion.

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